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The Analytic Hierarchy Process--An Exposition

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Abstract

This exposition on the Analytic Hierarchy Process (AHP) has the following objectives: (1) to discuss why AHP is a general methodology for a wide variety of decision and other applications, (2) to present brief descriptions of successful applications of the AHP, and (3) to elaborate on academic discourses relevant to the efficacy and applicability of the AHP vis-a-vis competing methodologies. We discuss the three primary functions of the AHP: structuring complexity, measurement on a ratio scale, and synthesis, as well as the principles and axioms underlying these functions. Two detailed applications are presented in a linked document athttp://mdm.gwu.edu/FormanGass.pdf.

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... At each level of the hierarchy, a comparison in pairs of structure elements is carried out, where the preferences of the decision maker are expressed using a Saaty scale of relative importance levels [34]. The scale contains 5 levels and 4 sub-levels in the range of 1 to 9 (Table 1), where 1 means "equally important", 3 indicates "slightly more important", 5 shows "significantly importantly more important", 7 signifies "strongly more important", and 9 means "extremely more important" [34,41]. Very strong importance 9 ...
... The assessments of the relative importance of the elements from each level of the hierarchical structure are applied for the calculation of the local criteria, sub-criteria, and alternatives [38,41,42]. After that, the overall priorities of the alternatives are synthesized. ...
... The judgment consistency is tested by the CR, which is obtained by dividing the CI by the random index (RI), as given in Table 2. The CR is satisfactory if it is below 0.10 [34,41]. Data Analysis for Questionnaire ...
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Municipalities face the greatest difficulty in implementing an efficient and effective waste collection system, especially in informal settlements with limited spatial planning. Illegal dumping is exacerbated by the proliferation of informal settlements and the lack of adequate waste management services provided by municipalities. A geographic information system (GIS) provides decision makers with a framework for analyzing and simulating a wide variety of spatial problems, including waste management issues. The purpose of this study is to map areas susceptible to illegal dumping and to determine why the community dumps there. The data were collected qualitatively via a questionnaire using a purposeful sampling technique, and SPSS 28.0 was used to analyze the data. The accessibility of streets and the availability of vacant land affected the location and concentration of illegal dumping in the test area. The lands within a buffer zone of 250 to 500 m of populated areas are the most vulnerable. The majority of residents have individual garbage receptacles, while a minority of 43.18% do not. A total of 52 dumpsites were identified inside the red zone of the model, suggesting a strong likelihood of illegal dumping activities. Hence, the community continues to have difficulties in effectively managing garbage disposal, compelling them to resort to alternative methods of waste disposal.
... The hierarchical structure of the AHP method enables measurement and integration of various factors in complex decision-making processes in a tiered manner. Its three main functions are: structuring complexity, measurement, and synthesis (Forman & Gass, 2001). Specifically, to address the complexity of the decision-making process, it identifies all different factors influencing the decision and organizes them into a hierarchical structure of homogeneous factor clusters (Forman & Gass, 2001). ...
... Its three main functions are: structuring complexity, measurement, and synthesis (Forman & Gass, 2001). Specifically, to address the complexity of the decision-making process, it identifies all different factors influencing the decision and organizes them into a hierarchical structure of homogeneous factor clusters (Forman & Gass, 2001). Ratio scale measurement is achieved through comparisons of these factors. ...
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In recent years, the development and iteration of information technology have prompted the financial industry to transform and upgrade to financial technology (FinTech), which has received emerging attention from the global financial industry. While the FinTech industry is growing rapidly around the world, however, few studies have foucusd on the shortage of talent and difficulties in recruiting talent. First, this paper clarifies the shortage of FinTech talent through expert interviews and a questionnaire survey of 112 financial industry enterprises in Shanghai, China. Following, based on role theory, we construct a talent capability evaluation index system using 5 primary and 17 secondary indicators. Based on the exploration above, a gray optimization model is designed to support talent recruitment strategy for FinTech enterprises. The results indicate that Chinese FinTech talent should have composite abilities with outstanding professional technical skills and learning abilities, innovation and teamwork ability, project experience, and international vision. This study provides methodological guidelines for global FinTech talent evaluation and recruitment strategies and broadens the application of role theory and gray clustering theory.
... El AHP es especialmente útil para abordar problemas que involucran aspectos intangibles, ya que incorpora una variedad de factores en el proceso de evaluación. Se destaca por su versatilidad y eficiencia al organizar la información de manera gráfica (Forman & Gass, 2001 Las jerarquías del método AHP, son aquellas que conducen un sistema hacia un objetivo deseado. Luego, se establecen las prioridades mediante las matrices de comparación, en donde a cada elemento de la matriz se le ingresa el valor de la preferencia del elemento, por sobre el criterio. ...
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La remediación de sitios contaminados en la industria del petróleo y gas representa una tarea crítica para salvaguardar el medio ambiente y la salud pública. La selección precisa de tecnologías de remediación resulta fundamental para alcanzar resultados eficientes y sostenibles. En este artículo, se propone un enfoque de análisis sistémico para la selección de tecnologías de remediación de suelos, mediante la aplicación de un marco de análisis multicriterio basado en el Proceso Jerárquico Analítico (AHP). Este método considera diversos factores, como la naturaleza de los contaminantes, condiciones específicas de desplazamiento, el impacto ambiental, la viabilidad económica y la aceptación social. Al integrar estos criterios, los responsables pueden tomar decisiones fundamentadas y exhaustivas respecto a las técnicas de rehabilitación más apropiadas para sitios contaminados específicos.
... The best and worst method was introduced by Jafar Rezaei in 2017. In such cases, the decision maker chooses their best and worst indicators, and then each of these is compared to other indicators [48]. The formula for calculating the discrepancy rate is then taken into consideration in order to verify these comparisons. ...
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Several techniques are utilised for screening and prioritising various criteria or items, including the Delphi technique and the analytical hierarchy process (AHP). Such techniques' calculations are dependent on expert views, however, and consequently, any error or contradiction in experts' viewpoints influences the calculation results. Although the talents and abilities of experts are employed for comparisons in classical Delphi approaches, such quantification of expert opinion cannot fully capture human thinking styles, and decision-making in the actual world must thus be enhanced by the use of fuzzy sets that operate in a manner more in line with the ambiguity and uncertainty of human thought and language. Any Analytical Hierarchical Process requires specialists to perform pairwise comparisons to make choices, and due to the huge number of criteria and potential errors connected with criteria priority decisions, it is feasible that the overall consistency will suffer as a result. Fuzzy sets are used to decrease error levels, and this study thus aimed to screen and prioritise criteria for solving complex decision-making problems by using both fuzzy Delphi and fuzzy best-worst (FBWM) techniques. Solving the multiplicity of rounds of the Delphi technique and the inconsistency produced by the AHP approaches are among the traditional difficulties associated with the Delphi method and the fuzzy best-worst method, while this paper demonstrates that the fuzzy Delphi technique can be employed to screen criteria in a single round, thus addressing the Delphi technique rounds issue, while FBWM offers solution for reducing the number of criteria comparisons.
... AHP and TOPSIS stand out as the prevailing MCDM techniques within the construction industry for complex decision issues (e.g., resource allocation) and ranking challenges [82][83][84][85]. AHP aims to determine the weights of criteria and priorities of alternatives while TOPSIS aims to choose the alternatives closest to the positive ideal solution (PIS) and furthest away from the negative ideal solution (NIS). ...
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In response to the growing importance of sustainability and regulatory pressures, companies are increasingly engaging in sustainable projects to mitigate environmental and social harm. Therefore, it is crucial to incorporate sustainability considerations during selecting construction projects in the feasibility phase. This study aims to identify a comprehensive set of sustainability criteria and sub-criteria to help the owners of power-generating plants to select the most sustainable technology for their new projects. Sixteen criteria are identified and categorized under the pillars of sustainability: economic, social, and environmental, plus the technical category. To illustrate practical application, a case study demonstrates the use of these essential sustainability criteria through a hybrid multi-criteria decision-making (MCDM) model for power-generating technology ranking. The results suggest that when stakeholders’ perspectives are weighted approximately equally, considering all sustainability pillars, natural gas with carbon capture is favored for sustainability. A three-scenario sensitivity analysis was performed involving expert opinions from one of the largest power-generating companies in Canada. This integrated generic model can be utilized by industry experts to apply multi-dimensional rational decision-making techniques to solve the complex problem of selecting the most sustainable alternative in construction projects.
... A comprehensive review of MCDM techniques was presented in the study Mardani et al. (2015), where a list of publications (more than 460) with different applications in many fields of science, engineering and management was provided. Among them are such techniques as AHP (Forman and Gass, 2001), PROMETHEE (Brans, 1982), ELECTRE (Roy, 1968), TOPSIS (Hwang and Yoon, 1981), ANP (Saaty, 1996), VIKOR (Yu, 1973), and hybrid MCDM (Shyur and Shih, 2006). However, they found only one publication, namely (Vetschera and Almeida, 2012), related to the portfolio selection problem. ...
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Building an investment portfolio is a problem that numerous researchers have addressed for many years. The key goal has always been to balance risk and reward by optimally allocating assets such as stocks, bonds, and cash. In general, the portfolio management process is based on three steps: planning, execution, and feedback, each of which has its objectives and methods to be employed. Starting from Markowitz's mean-variance portfolio theory, different frameworks have been widely accepted, which considerably renewed how asset allocation is being solved. Recent advances in artificial intelligence provide methodological and technological capabilities to solve highly complex problems, and investment portfolio is no exception. For this reason, the paper reviews the current state-of-the-art approaches by answering the core question of how artificial intelligence is transforming portfolio management steps. Moreover, as the use of artificial intelligence in finance is challenged by transparency, fairness and explainability requirements, the case study of post-hoc explanations for asset allocation is demonstrated. Finally, we discuss recent regulatory developments in the European investment business and highlight specific aspects of this business where explainable artificial intelligence could advance transparency of the investment process.
... The Analytic Hierarchy Process "AHP" was followed to assign the suitable weights for both the indicators and the dimensions [33]. A correlation matrix of the indicators was calculated and scores of importance were rated against each other. ...
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The increasing severity of climate changes and environmental risks led to the paradigm shift in urban planning towards increasing the resilience of cities. However, coastal cities are on the frontline facing these risks and challenges. The local context in developing countries is adding more pressure on city resilience. In Egypt, the Red Sea cities are increasingly exposed to flash floods, and storms under the uncertainties of environmental risks. They have special local environmental, social, cultural, and economic characteristics. This research aims to develop a customized community resiliency assessment tool, which considers the local context of Egyptian coastal cities. The literature shows that more than 30 tools and frameworks to assess resilience have been developed. However, this paper argues that indicator-based tools of assessment should be tailored to reflect the local context. From here, available tools from different perspectives and their associated indicators were reviewed and filtered according to the Egyptian context and national data drivers. Then the special environmental, social, cultural, and economic features of the study area "Red Sea" were highlighted as a reference to the next step of indicator selection. The appropriate criteria were developed and tested using data of Red Sea cities (i.e. Ras-Gharib, Hurghada, Safaga, El-Qusair, Marsa-Alam, Halaib and Shalateen). The case studies application and assessments included analyses of environmental parameters, and statistical analyses of social, and economic parameters. It showed high applicability and produced a resilience index of the coastal cities of the red sea region.
... Of the various MCDM methods available in the literature, the analytic hierarchy process (AHP) remains the most acceptable and widely used because of its robustness, as demonstrated by comparative studies on MCDM methods (de FSM Russo and Camanho, 2015;Tscheikner-Gratl et al., 2017;Velasquez and Hester, 2013). The completeness of the AHP has seen it being applied in various science fields that, include Environmental Sustainability, Economic Wellbeing, Sociology, Programming, Resource Allocation, Strategic Planning, and Project/Risk Management to integrate diverse and different indicators to monitor performance for benchmarking, policy analysis and decision-making (Cherchye and Kuosmanen, 2004;Dizdaroglu, 2017;Forman and Gass, 2001;Zanella et al., 2013). The AHP has provided useful results in these fields, and recently, the WEF nexus integrates distinct but interlinked indicators, which generally cannot be analysed through linear approaches. ...
Chapter
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... Determining the relative importance of factors from the two groups begins with an assessment of their priority by applying the AHP method (Analytic Hierarchy Process). In the literature, there is almost no information about the application of the AHP method in production management, and this determined the choice of the team to accept the challenge and experiment with the application of the method for planning and effective management of production capacity (Saaty 1980;Forman, Saul 2001;Saaty, Peniwati 2008). ...
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In the modern world, the development of technology, machinery and equipment follows a rapid upward trend of constant innovative solutions. The problem of efficient planning and utilization of production capacity is also evolving. The question of knowing the factors affecting the development of production, which acquire other dimensions, closely related to the optimization of processes and activities and more efficient use of the main means such as machines, equipment, information technologies, etc., is increasingly relevant. The relevance of this problem is also determined by the increased integration of production technologies and the search for ways to apply flexible organizational forms for more efficient use of the equipment’s capacity. The changes introduced in the era of Industry 4.0 are now irreversible, and the time has come for the transition to Industry 5.0. Behind Industry 5.0 are technologies representing a set of complex systems, and each of the categories can realize its potential only if it is combined with the others. Industry 5.0 can be seen as a new philosophy of business, according to which technology should work for the benefit of people and society. Business organizations must further adapt to exploit the capabilities of technology and combine them with those of people in order to develop effectively, sustainably and safely. New business models are needed, which require investing less funds and resources to obtain greater benefits. Industry 5.0 means optimizing human productivity and efficiency. Taking into account these new trends that are rapidly emerging in the global business environment, this research is aimed at developing a research model of the key factors affecting the effective planning and utilization of production facilities in the industrial enterprise, based on the results of a previous study. A model is proposed to investigate the relationship between identified key factors and capacity management based on interpretive structural modeling.
... For the global score, there are four sub-scores corresponding to gap frequency, gap severity, overlap frequency, and overlap severity. These scores are combined using an analytic hierarchy process (AHP) matrix where the user defines pairwise comparisons between individual subscores and the matrix transforms these weights into rankings for the final combination 19,20 . This customization allows process planners to achieve very specific defect distributions within their laminate corresponding to their own preferences and part requirements. ...
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Manufacturing composite structures with Automated Fiber Placement (AFP) requires detailed process planning that is rigorous and time consuming. To facilitate, accelerate and perpetuate process planning knowledge, the Computer Aided Process Planning (CAPP) tool was developed. CAPP assists process planners in identifying optimal layup strategies for each ply of a laminate. This paper expands the established framework for analyzing defect stack-up through thickness of a laminate. Four different combinatorial optimization algorithms are implemented and evaluated: genetic algorithm, differential evolution, particle swarm, and greedy search. The algorithms identify optimal combinations of ply-level layup strategies by analyzing defect stacking using two objective functions. These approaches are evaluated through a digital case study performed on a complex tool surface. The result is a streamlined methodology for comparing different laminate-level manufacturing strategies and minimizing the through thickness defect stack-up.
... The local values of alternativesselected service sector activities were measured by using increasing value functions considering the arithmetic means as the data. Using the analytic hierarchy process (AHP) method [38], weights were determined by pairwise comparisons by using the following scale [39,40]: 1 means that the two criteria are equally important; 3 means that the criterion is moderately more important than the compared one; the verbal description of importance strength 5 is strong, of 7 very strong, and of 9extreme. Using the above descriptions of importance, intermediate values can also be described: e.g., 8 means that the criterion is very strongly to extremely (or very, very strongly) more important than the compared one; the verbal description of 6 is strong to very strong (or strong plus), of 4 is moderate to strong (or moderate plus), and 2 equal to moderate (or weak or slight). ...
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This paper aims to measure the level of artificial intelligence (AI) support to project management (PM) in selected service sector activities. The exploratory factor analysis based on the extensive survey on AI in Slovenian companies along with the multi-criteria measurement with an emphasis on value functions and pairwise comparisons in the analytic hierarchy process, was employed. The synthesis and performance sensitivity analysis results show that in the service sector concerning all criteria, PM is with the level 0.276 best supported with AI in services of professional, scientific, and technical activities, which also stand out concerning the first-level goals, in using AI solutions in a project with the value 0.284, and in successful project implementation using AI with the value 0.301. Although the lowest level of AI support to PM, which is 0.220, is in services of wholesale and retail trade, and repair of motor vehicles and motorcycles, these services excel in adopting AI technologies in a project with a value of 0.277. Services of financial and insurance activities, with the level 0.257 second-ranked concerning all criteria have the highest value of 0.269 concerning the first-level goal of improving the work of project leaders using AI. The paper therefore contributes to the comparisons of AI support to PM in service sector activities. The results obtained can help AI development policy makers, which activities need to be supported and which ones should be set as an example. The presented methodological frame can serve to perform measurements and benchmarking in various research fields.
... Recently, the widespread development of satellite images, along with maps and corrected land cover data, has facilitated the identification of potential groundwater (Das et al., 1997). The Multi-Criteria Decision Analysis (MCDA), it is a structured technique for analyzing complex decisions using mathematics to determine factor weights (Forman and Gass, 2001). TheAnalytical Hierarchy Process (AHP) is an effective and important resource management technique. ...
Article
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Received: 18 December 2022 Groundwater is considered one of the most vital natural resources for sustaining life. The demand for water in the Shewasoor sub-basin is constantly increasing due to formidable population growth and the development of human activities. Besides, groundwater is scarce due to climatic changes in arid and semi-arid. This study aims to determine spatial distribution of groundwater potential in the Shewasoor sub-basin. This study relied on seven layers (geology, slope, elevation, lineament, drainage density, soil, and land use/land covers) using geographic information systems, remote sensing, and applying the analytical hierarchy process method after determining the weights for each parameter by a multi-criteria decision analysis; to model the groundwater potential map in the Shewasoor sub-basin. The result appeared as a map of groundwater potential categorized into five zones. The majority of the sub-basin (61.8 km 2) falls under a very high-high groundwater potential zone, which distributes over an area of elevations, drainage density, and slopes low of the Bai-Hassan Formation; from the center towards the north of the sub-basin. The moderate groundwater potential zone (47.6 km 2) mainly encompasses an area of elevations and slopes moderate to the Bai-Hassan formation. About 49.6 km 2 is a very low to low groundwater potential zone, mainly found over the area of the elevations and slopes high within the Mukdadiyah Formation east of the sub-basin; in addition to, low groundwater potential within the Bai-Hassan Formation in the south, west, and some part center of the sub-basin due of the elevations and slopes high.
... The definition of indicators under the combined BSC-AHP technique based on success factors is considered more effective than the traditional ones, because it allows working with variables of organisational experiences in similar conditions, maintaining a hierarchical systemic order; where the integral systemic model proposed by the BSC methodology is considered one of the greatest innovations in the field of organisational performance management techniques [30]. The AHP methodology has become one of the most widely used multicriteria methods for prioritising decision alternatives in business environments [31][32][33]. ...
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Associative enterprises linked to the social economy continue to be an important economic alternative for small producers, generating decent work opportunities for people excluded from the formal labour market and contributing to sustainable development. The social and economic importance of this type of initiative has prompted several scientific publications on its success factors, leaving a gap in its practicality, raising the question: How can success factors of associative productive ventures be integrated into management indicators that promote their organisational sustainability? The aim is to define and prioritise management indicators that promote associative productive ventures through the analysis of key success factors. This study was carried out using a combination of BSC management methodology and AHP multicriteria decision making, based on a bibliographic review of success factors and the criteria of experts including managers of consolidated production associations in Quito-Ecuador. The results show that the indicators of participatory leadership, technical training and labour integration are the most relevant in the consolidation of associative productive ventures, prompting the conclusion that the prioritisation and integration of business and social management indicators would boost the organisational sustainability of associative ventures.
... The Analytical Hierarchy Process (AHP) method, developed in the late 1970s by Saaty [22], is a quantitative analytical method used for comparative assessments and optimised alternative selections based on an analysis of criteria. Several authors have employed the AHP method to evaluate ecological suitability [23,24]. ...
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In Vietnamese culture, bamboo holds deep symbolic significance. However, in recent years, as a result of evolving usage patterns and the introduction of alternative materials in the face of a rapidly developing modern market economy, industrialisation, and urbanisation, bamboo's economic and social value has dwindled. Nevertheless, with the pressing challenges of climate change, environmental pollution, and the depletion of natural resources, bamboo is experiencing a resurgence in importance within the lives of Vietnamese people. Ba Be district, situated in Bac Kan province, stands as one of the country's most impoverished regions. Natural bamboo thrives in 14 out of 15 communes, with Dong Phuc commune being the exception. Planted bamboo is found in 14 out of 15 communes, excluding Cho Ra town, covering approximately 7.9 % of the entire district's natural area (NA). The district's vast terrain, featuring slopes exceeding 15°, presents formidable obstacles to socio-economic development. This study aims to shed light on the distribution of bamboo forests in Ba Be district and presents an assessment of bamboo's suitability within its natural surroundings. The study employs the analytical hierarchy process (AHP) method and spatial statistics, using remote sensing data supplied by the Department of Natural Resources and Environment, Ba Be district. The results demonstrate that 60 % of Ba Be district's NA is conducive to bamboo cultivation and growth. The findings of this research provide local authorities with a scientifically grounded basis for strategic planning, enabling bamboo to emerge as a pivotal resource within production forests. This approach outlines the ideal spatial distribution for bamboo cultivation and development, ultimately fostering the sustainable utilisation of local natural resources to support both immediate and long-term local socio-economic development.
... If the first part of this sentence is correct, then we believe that ranking methods can be applied to sorting methods with the right tweaks rather than requiring entire reconstruction (Nemery 2009). As demonstrated in many papers (Zahedi 1986;Shim 1989;Vargas 1990;Saaty and Forman 1992;Forman and Gass 2001;Ho 2008;Liberatore and Nydick 2008;Sipahi and Timor 2010), the AHP has an impressive track record of accomplishments. The pairwise comparison of alternatives and criteria is at the heart of the AHP methodology. ...
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Decision support systems are a mixture of different methods and tools combined by machine learning approach. This study uses the most important machine learning techniques (logistic regression, artificial neural networks, and support vector machines) and the expert-based method (fuzzy analytic hierarchy process and hesitant fuzzy numbers) to study some financial markets dynamics. The objective of the study is to examine the main approaches developed by theory and operational practice for the purposes of conceptual representation, management and quality assessment. Different tools are applied to support decisions makers, such as AHPSort II to model the hierarchical structure, FAHP to determine weights in the construction of the matrix of the pairwise comparison and hesitant fuzzy sets (HFS) to better represent the preferences of the decisions makers.
... Some researchers use experts' input to weigh each factor. For instance, the analytic hierarchy process (AHP) has been widely used to estimate relative weights of factors in the complex decision-making context (Forman & Gass, 2001). Future studies on SoVI can consider this approach. ...
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The coastal community is confronted with heightened risks posed by climate change. Mobile Bay in the United States is a large estuarine system along the Gulf of Mexico (GOM) coast, providing critical ecosystem services for the nation. This region is however subject to increased urbanization and uncertain impacts of climate change. To ensure sustainability of this important ecosystem, it is imperative to examine the changing spatial patterns of community vulnerability to environmental changes in this region. Using data from the U.S. Census of multiple years, we investigate the changing spatial patterns of social vulnerability at the census block group level in Mobile Bay consisting of Mobile County and Baldwin County over the past 20 years (2000 – 2020). Additionally, we utilize hotspot and cluster analyses to formalize the observations of the spatiotemporal changes. Further, we examine how land use and land cover (LULC) changes co-occur with social vulnerability changes across Mobile Bay. We identify several hotspots where land cover has been converted to urban land and social vulnerability has increased. The investigation of the spatial patterns over a relatively long period helps to deepen the insight into the dynamic spatiotemporal changes of social and environmental vulnerability. This insight can better inform future plans to cope with climate change and ensure sustainability. Specifically, hotspots that have undergone urbanization and increased social vulnerability demand special attention from policy makers for future risk mitigation and disaster planning.
... In selecting proxy variables and aggregating them into a final index, we used a multicriteria decision method-the analytical hierarchy process (AHP)-and based it on local knowledge and expert input. The AHP provides a rational framework for representing and quantifying (or weighting) the various elements (Forman and Gass 2001). This is done specifically by comparing variables in pairs. ...
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In this study, we set out to develop a new social vulnerability index (SVI). In doing so, we suggest some conceptual improvements that can be made to existing methodical approaches to assessing social vulnerability. To make the entanglement of socio-spatial inequalities visible, we are conducting a small-scale study on heterogeneous urban development in the city of Hamburg, Germany. This kind of high-resolution analysis was not previously available, but is increasingly requested by political decision makers. We can thus show hot spots of social vulnerability (SV) in Hamburg, considering the effects of social welfare, education, and age. In doing so, we defined SV as a contextual concept that follows the recent shift in discourse in line with the Intergovernmental Panel on Climate Change’s (IPCC) concepts of risk and vulnerability. Our SVI consists of two subcomponents: sensitivity and coping capacity. Populated areas of Hamburg were identified using satellite information and merged with the social data units of the city. Areas with high SVI are distributed over the entire city, notably in the district of Harburg and the Reiherstieg quarter in Wilhelmsburg near the Elbe, as well as in the densely populated inner city areas of Eimsbüttel and St. Pauli. As a map at a detailed scale, our SVI can be a useful tool to identify areas where the population is most vulnerable to climate-related hazards. We conclude that an enhanced understanding of urban social vulnerability is a prerequisite for urban risk management and urban resilience planning.
... AHP decomposes and synthesizes hierarchically complex decision problems to determine the preference of an attribute to other case attributes using a pairwise comparison [48][49][50]. Te recent developments of AHP and its integrated applications with other methods were reviewed by Ishizaka and Labib [51] and Ho [50]. Among them, the combinations of the AHP and CBR methodologies were studied by Kuo [52], An et al. [53], Changchien and Lin [54], Faez et al. [42], Wu et al., [55], Park and Han [56], Kasie et al. [1], Kasie [2], and Kasie and Bright [33,34]. ...
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Cutter planning and control are the crucial problems in machining processes. The current literature indicates that the issue of cutter planning and control problem was not adequately researched in the past in a metal-cutting process. Usually, cutter planning and control problems were addressed using different optimization, simulation, and computer-aided planning (CAP) methods. To bridge this knowledge gap, this study proposed a decision support system (DSS) that can integrate fuzzy case-based reasoning (F-CBR) and fuzzy analytic hierarchy process (F-AHP) methods. This integration was applied to determine hybrid similarity measures between new and prior cases. The study provides new insights into the integration of fuzzy set theory (FST), CBR, and AHP for solving machining cutter planning and control problems. Our proposed system retrieves the best similar prior cases to reuse and adapt them to new order arrivals. A numerical example was illustrated to validate the soundness of the researched DSS.
... This includes areas such as social sciences, manufacturing, political studies, engineering, education, and government. Given its ability to structure, quantify, and systematize complex issues, the AHP approach aligns seamlessly with the objectives of this study [32][33][34][35][36][37]. The AHP process entails the creation of a comparison matrix, which is then used to derive eigenvectors for assigning priority and weight to each measurement element within hierarchical levels. ...
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This study aims to discern and assign significance to the crucial inspection items preceding housing transfers, subsequently unveiling their prioritized sequence. Initiating with a literature review, a robust groundwork was laid for expert interviews, which subsequently defined eight distinct facets encompassing a total of 38 items pertinent to housing transfer inspections. Employing the Analytic Hierarchy Process (AHP), the results of an expert survey are analyzed, incorporating 27 valid responses. The outcomes of this research encompass the following: (1) the delineation of eight distinct facets, (2) the compilation of a comprehensive list comprising 38 items, (3) a short list of the top 15 items easier for inspectors to complete for a quick transfer, and (4) the establishment of a priority sequence for housing transfer inspection items. This study effectively resolves the predicament faced by practitioners concerning the selection of appropriate inspection items for housing transfers, and offers clarity regarding their relative significance.
... Of the various Multiple-criteria decision-making, MCDM methods available in the literature, the AHP remains the most acceptable and widely used because of its robustness as demonstrated by comparative studies on MCDM methods (Tscheikner-Gratl et al., 2017;Velasquez and Hester, 2013). The completeness of the AHP has seen it being applied in various science fields that include Environmental Sustainability, Economic Wellbeing, Sociology, Programming, Resource Allocation, Strategic Planning, and Project/Risk Management to integrate diverse and different indicators to monitor performance, for benchmarking, policy analysis, and decision-making (Cherchye and Kuosmanen, 2004;Dizdaroglu, 2017;Forman and Gass, 2001;Zanella et al., 2013). ...
Conference Paper
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Climate change is a complex challenge, cutting across all socio-economic and ecological sectors. Sectoral adaptation initiatives only exacerbate existing challenges, create system imbalances, and retard sustainable development as those same challenges manifest in other sectors. Therefore, climate change resilience and adaptation initiatives need to be addressed through systemic, integrated, and transformative ways. This study applies the water-energy-food (WEF) nexus integrative analytical model to assess climate change impacts in southern Africa and assess progress towards Sustainable Development Goals (SDGs). The linkages between SDGs and nexus planning facilitated integrated and sustainable management of resources towards climate change resilience and adaptation. Current management of the interlinked WEF resources is presented through a spider web graph that indicates unbalanced resource management, a scenario compounding maladaptation in southern Africa. The assessment guides strategic policy formulations that lead to sustainable resilience and adaptation. As climate change impacts are cross-sectoral and multidimensional, there is an urgent need to adopt and operationalise nexus planning and other transformative approaches to expedite resilience-building initiatives.
... After establishing the evaluation system, it is necessary to allocate weights to each indicator, with a greater weight assigned to indicators of greater significance. The general approach employed for this purpose is the Analytic Hierarchy Process (AHP), which determines weights by assessing the relative sizes of indicator numbers, often requiring the input of experts [39]. After distributing questionnaires, 30 valid responses were obtained from experts, including designers and scholars specializing in architectural design, urban planning, and environmental design, as well as doctors and staff working in major hospitals. ...
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... In some cases, it is possible to scalarize the objectives into a scalar utility function and solve to optimality. Techniques such as Analytical Hierarchical Process (Forman and Gass 2001) could also be applied. Other approaches include finding the efficient solution frontiers by eliminating all dominated solutions and then heuristically selecting desirable tradeoffs. ...
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Uncertainty is a pervasive challenge in decision analysis, and decision theory recognizes two classes of solutions: probabilistic models and cognitive heuristics. However, engineers, public planners and other decision-makers instead use a third class of strategies that could be called RDOT (Risk-reducing Design and Operations Toolkit). These include incorporating robustness into designs, contingency planning, and others that do not fall into the categories of probabilistic models or cognitive heuristics. Moreover, identical strategies appear in several domains and disciplines, pointing to an important shared toolkit. The focus of this paper is to develop a catalog of such strategies and develop a framework for them. The paper finds more than 90 examples of such strategies falling into six broad categories and argues that they provide an efficient response to decision problems that are seemingly intractable due to high uncertainty. It then proposes a framework to incorporate them into decision theory using multi-objective optimization. Overall, RDOT represents an overlooked class of responses to uncertainty. Because RDOT strategies do not depend on accurate forecasting or estimation, they could be applied fruitfully to certain decision problems affected by high uncertainty and make them much more tractable.
... The analytic hierarchy process (AHP) is a tool for organizing, measuring, and synthesizing [22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Numerous different problem situations have been addressed using the AHP, such as selecting among competing alternatives in a multi-objective environment and forecasting ( Figure 1). ...
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... If the first part of this sentence is correct, then we believe that ranking methods can be applied to sorting methods with the right tweaks rather than requiring entire reconstruction [42]. As demonstrated in many papers [43][44][45][46][47][48][49][50], the AHP has an impressive track record of accomplishments. The pairwise comparison of alternatives and criteria is at the heart of the AHP methodology. ...
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... Prema Forman-u & Gass-u [24], AHP je metoda za stukturiranje, sintezu i merenje koja je uspešno primenjivana na velikom broju različitih problema, uključujući i selekciju koja se svodi na odabir između više alternativa. ...
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Accessibility issues are actively involved in the field of information and communication technologies. To improve human-machine interfaces, it is necessary to study the specifics of the interactions of people with special needs, including to improve their security of access to various digital resources. Thanks to the state of the art, people with disabilities have wide access to the Internet, including educational resources. The aim of this paper is to propose an approach for the heuristics evaluation of web accessibility based on the analytic hierarchy process (AHP) method. As there are many groups of people with disabilities, to narrow the scope of this study, we turn our attention to the perspective of the visually impaired users. To approve the approach, the authoring team applies it using Bulgarian and Polish academic websites.
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"This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences. This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.
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The determination of priorities based on relative rather than absolute worth is sometimes questioned. This is surprising since it is commonly accepted that economic value is dependent on scarcity, and scarcity is by its very nature a relative property. This paper illustrates that when deriving priorities, relative worth is usually more appropriate than absolute worth, even though the results may sometimes seem counterintuitive. This paper also examines problems that can transpire if absolute rather than relative worth is used in situations where additional alternatives are subsequently introduced into an analysis.
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A number of multi‐criteria decision support techniques have emerged in recent years that use varying computational approaches to arrive at the most desirable solution and thereby ‘recommend’ a course of action. Decision makers who use the results of this analytic work should be assured that the computational schemes used by their supporting analysts or decision support software produce the appropriate solutions. We conducted a series of simulation experiments that compared the top‐ranked options resulting from the computational algorithms that support Multi‐Attribute Value Theory (MAVT) and three methods that are reported in the literature that allow rank reversals, the change in rank order of two options when an unrelated option is added or deleted from the analysis: the Analytical Hierarchy Process (AHP), Percentaging and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). We also included a Fuzzy algorithm proposed by Yager to gauge its consistency with the other algorithms, even though it is not subject to rank reversals. These experiments demonstrated that the MAVT and AHP techniques, when provided with the same decision outcome data, very often identify the same alternative as ‘best’. The other techniques are noticeably less consistent with MAVT, the Fuzzy algorithm being the least consistent. The situations under which the most frequent and significant differences occurred were dependent upon the method. The results of our experiments indicate that other issues (e.g. the processes used for problem structuring and the elicitation of value weights) are likely to be of greater significance to problem outcome (based on our experience) than the choice between the computational algorithms of MAVT and AHP. The results cause us to be concerned about the use of the other methods.
Article
This paper contains an axiomatic treatment of the Analytic Hierarchy Process (AHP). The set of axioms corresponding to hierarchic structures are a special case of axioms for priority setting in systems with feedback which allow for a wide class of dependencies. The axioms highlight: (1) the reciprocal property that is basic in making paired comparisons; (2) homogeneity that is characteristic of people's ability for making comparisons among things that are not too dissimilar with respect to a common property and, hence, the need for arranging them within an order preserving hierarchy; (3) dependence of a lower level on the adjacent higher level; (4) the idea that an outcome can only reflect expectations when the latter are well represented in the hierarchy. The AHP neither assumes transitivity (or the stronger condition of consistency) nor does it include strong assumptions of the usual notions of rationality. A number of facts are derived from these axioms providing an operational basis for the AHP.
Article
What happens to the share of choices each item receives when the choice set boundaries are extended by adding a new item that is extremely good on one dimension but poor on the others? First, there is a substitution effect whereby the new item takes choice share mainly from similar items in the set. Second, there is an attraction effect resulting in a general shift of preference toward the added item. Experimental studies show that choice patterns conflict with current theoretical and common-sense ideas about the effect of added alternatives on choice.
Article
Intransitive preferences have been a topic of curiosity, study, and debate over the past 40 years. Many economists and decision theorists insist on transitivity as the cornerstone of rational choice, and even in behavioral decision theory intransitivities are often attributed to faulty experiments, random or sloppy choices, poor judgment, or unexamined biases. But others see intransitive preferences as potential truths of reasoned comparisons and propose representations of preferences that accommodate intransitivities. This article offers a partial survey of models for intransitive preferences in a variety of decisional contexts. These include economic consumer theory, multiattribute utility theory, game theory, preference between time streams, and decision making under risk and uncertainty. The survey is preceded by a discussion of issues that bear on the relevance and reasonableness of intransitivity.
Article
In this paper we examine the impact of membership in Preferential Trade Agreements (PTAs) on trade between PTA members. Rather than considering the impact of PTA membership on the volume of trade we consider the impact of membership on the structure of trade. For a large sample of countries over the period 1962-2000 we find that membership in a PTA is associated with an increase in the extent of intra-industry trade. In addition, we find that the effect of PTA membership on IIT is larger when a PTA is formed between two developed countries.
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