Book

The Analytic Hierarchy Process, Planning, Piority Setting, Resource Allocation

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... The survey consisted of two sections. The first section included introductory information about the research objective, a brief definition of biophilic urbanism, and the assumed benefits of its application in For the first question, a set of possible BUIs were presented, and the policymakers were asked to assess them using a pairwise comparison technique (Saaty, 1980). Table 16 shows the BUIs that were assessed in our survey. ...
... Biophilic conditions and infrastructure (group 1) Areas of pedestrian preference Green belts and greenways Green infrastructure in private spaces (green roofs, vertical gardens) Green public infrastructure (parks, squares) Restoration of natural spaces Biophilic activities (group 2) Community activities (gardens, farms, associations) Incorporation of biophilic activities in schools and programs Volunteer program for nature restoration Biophilic institutions and governance (group 3) Incorporation of biophilic design in public buildings Programs, Strategies, and Plans to increase the surface and green elements Promotion and incorporation of biophilic design in private buildings by Local Ordinance Subsidies for greening, green densification bonuses Using the nine-point Saaty (1980) scale of relative importance assessment, each BUI was valued in terms of the policymakers' preference by comparing pairs inside BUIs groups, as depicted in Table 18. ...
... where n is the size of the decision matrix, and λ is the highest eigenvalue of decision matrix A. Finally, the Random Consistency Index (RI) is determined depending on the decision matrix's size (n). Table 20 shows the RI values (Saaty, 1980 A total of 144 matrices were obtained. Four matrices were created based on the responses to each survey: ...
... Therefore, it is preferable to focus the efforts on finding a renowned group of experts and get them involved in the process. Similarly, [20] reports that for problems with biased or non-quantifiable data, the utility-ratio functions are more efficient for prioritization purposes. ...
... Several authors introduce the use of MCDA techniques for Environmental Assessment. Many of them focus on the use of the Analytic Hierarchy Process [20] which has been accepted as a leading multi-criteria decision model [26], [16], [11] to assign priorities to the criteria or indicators involved. Others introduce the use of outranking techniques such as Electre [27] and Promethee [28] in order to avoid the compensation problem of the traditional methods [29], [30], [1]. ...
... Details on the Analytic Network Process (ANP) can be found in Saaty (1996), however, the main steps are summarized here for completeness. ...
Conference Paper
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In this paper a new approach to prioritize urban planning projects in an efficient and reliable way is presented. It is based on environmental pressure indices and multicriteria decision methods.
... The most widely-used technique involving pairwise comparison judgements is the Analytic Hierarchy Process (AHP) (Saaty, 1980) where DMs structure their criteria into a hierarchy and then evaluate alternatives with respect to each of these criteria. Price, Speed and Looks (therefore, providing three sets of pairwise comparison judgements). ...
... These pairwise comparison judgements are then used to elicit preference vectors with the help of some elicitation technique. Although there are many techniques for elicitation, the most widely used techniques are Right Eigenvector (REV) (Saaty, 1980) and Row Geometric Mean (RGM) (Crawford, 1987). These elicited vectors are then used to construct a decision table as shown at the bottom right of this figure ( Fig. 2). ...
... Let us show how our approach works in practice by using the classic example of school selection proposed in Saaty (1980). The parents have to decide the high school for their son. ...
Preprint
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Inconsistency in pairwise comparison judgements is often perceived as an unwanted phenomenon and researchers have proposed a number of techniques to either reduce it or to correct it. We take a viewpoint that this inconsistency unleashes different mindsets of the decision maker(s) that should be taken into account when generating recommendations as decision support. With this aim we consider the spanning trees analysis which is a recently emerging idea for use with the pairwise comparison approach that represents the plurality of mindsets (in terms of a plurality of vectors corresponding to different spanning trees). Until now, the multiplicity of the vectors supplied by the spanning trees approach have been amalgamated into a single preference vector, losing the information about the plurality of mindsets. To preserve this information, we propose a novel methodology taking an approach similar to Stochastic Multi-criteria Acceptability Analysis. Considering all the rankings of alternatives corresponding to the different mindsets, our methodology gives the probability that an alternative attains a given ranking position as well as the probability that an alternative is preferred to another one. Since the exponential number of spanning trees makes their enumeration prohibitive, we propose computing approximate probabilities using statistical sampling of the spanning trees. Our approach is also appealing because it can be applied also to incomplete sets of pairwise comparisons. We demonstrate its usefulness with a didactic example as well as with an application to a real-life case of selecting a Telecom backbone infrastructure for rural areas.
... Some techniques establish a ranking of criteria, others identify the best alternative, and others differentiate between acceptable and unacceptable alternatives (Linkov and Ramadan, 2004;Vaidya and Kumar, 2006). Specifically, we addressed the problem by applying the analytic hierarchy process (AHP) tool for decision making, proposed by Saaty for the first time in 1980 but continually updated (Saaty, 1980(Saaty, , 2013(Saaty, , 2016. One of the concrete advantages of the method is that it allows a criteria prioritisation, even for subjective criteria. ...
... Each one of the experts has worked with corresponding questionnaires in his/her specialized area. The results of the questionnaires constituted matrices of comparison by means of the scale of Saaty (1980Saaty ( , 2013Saaty ( , 2016. As functions of the preference of an element shown in a row of the matrix relative to that shown in a column, numeric values are given to the corresponding elements of the matrix: ...
... The global normalized weights (W G ) for each of the 88 criteria of the third level were calculated as where w i is the local normalized weight of the criterion of the first level or main area, w j is the normalized weight of the criterion of the second level and w k is the normalized weight of the criterion of third level. The local normalized weights w i , w j and w k were calculated according to the AHP method described by Saaty (1980Saaty ( , 2013Saaty ( , 2016. As a starting point, the experts considered that the five main areas had equal importance, so that all of the criteria of the first level had a local normalized weight (w i ) of 0.2. ...
Chapter
Adopting a strategic approach to risk management can maximize competitiveness and profitability. Total Safety and Productivity approaches offer managers a set of methods and tools to apply a Total Safety Management (TSM) philosophy to achieve this. The capability to anticipate, assess and plan for risks associated with future operations is a critical success factor, for enterprises of all types and sizes. The ability to risk assess actual operations with an easy to apply, resilient methodology can offer significant benefits in terms of the capacity to improve safety and performance. This book describes approaches that can be used alone or jointly to improve safety management in any organization. The methods are based on academic best practice and have been developed by leading experts, but are presented here in a practical way for application in industry by non-experts. The book outlines a professional approach to risk and safety management, which requires goal setting, planning and the measurement of performance, and encourages a safety management system that is woven holistically into the fabric of an organization so that it becomes part of the culture, the way people do their jobs, and helps ensure that issues are correctly prioritized and managed as they emerge. This book is essential reading for professionals, at both expert and non-expert level, who are interested in applying the TSM philosophy within their organization.
... Para realização do estudo é utilizado o método AHP. De acordo com Saaty (1980), o AHP consiste em três princípios que incluem: a estruturação hierárquica, a análise de prioridades e a verificação da consistência dos resultados. Este processo é composto de três etapas. ...
... Após o preenchimento das matrizes, os especialistas encaminhavam as matrizes respondidas para o cálculo do grau de importância de cada critério. Este cálculo foi realizado de acordo com o método AHP proposto por Saaty (1980). Para a aplicação do AHP no contexto de uma decisão em grupo, em que os indivíduos atuam separadamente, como ocorre nesse estudo, é necessária a utilização da média geométrica dos elementos (COSTA; BELDERRAIN, 2009). ...
Conference Paper
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Os Resíduos de Construção Civil (RCC) representam a maior parte dos resíduos produzidos pelos municípios brasileiros. Por esta razão, é necessária a criação de ferramentas que busquem monitorar e avaliar a Gestão de Resíduos de Construção Civil (GRCC). Os indicadores de sustentabilidade são ferramentas capazes de auxiliar os gestores a garantirem a eficácia da gestão. O objetivo deste trabalho é listar e identificar os indicadores mais relevantes para a GRCC municipal. Para tanto, foi utilizado o método AHP de análise multicritério e consultado um grupo de 17 especialistas. Os indicadores foram agrupados em: Grupo Operacional, Grupo Ambiental, Grupo Político-econômico, Grupo Educacional e Grupo Social. Em cada grupo, estão reunidos indicadores que avaliam aspectos da gestão considerados pela Política Nacional de Resíduos Sólidos. Os resultados mostram que os especialistas consideram os indicadores do Grupo Político-econômico os mais relevantes para avaliar a GRCC.
... AHP proves to be a practical approach for assessing the models with complex interdependent factors and provides a rigorous basis for addressing the problems involving both quantitative and qualitative factors [17] . AHP is a simple yet powerful tool that was first developed within the management science field over 20 years ago [18] . The relative weights of the KSFs obtained in the second phase are used as inputs for the third phase. ...
... After the pair-wise comparison process is completed, and an initial decision matrix is achieved, the initial matrix is normalized. As shown in Figure 3, in this study, overall CR is 0.07, which fell within the acceptable level of 0.10, as recommended by Saaty [18] . This shows that the survey respondents have assigned their weights consistently after examining the priorities of success factors of commercialization for new technology products As shown in Table 2, the criterion group of technology has the highest rank, weighing 53,9%. ...
... The AHP approach treats the problem of decision making as a hierarchy of elements important for decision making [7,8,9]. At the top is the goal, the criteria are at the next level, and alternatives at the bottom level. ...
... The goal of the developed model is to increase revenues that could be directed to the sustainable development of transport in the Republic of Srpska. The comparison of criteria, i.e. the definition of their relative importance, was performed on the basis of the fundamental Saaty scale [9], with grades ranging from 1 to 9 (Table 1). 1,00 ...
Article
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Transport system has multiple interactions and multidimensional effects on the environment, by way of, amongst other, land acquisition and urban pollution; on economic development with regard to the GDP growth; as well as on social equity in terms of access, quality of life and health of population. This paper considers the possibility of introducing toll collection in the Republic of Srpska. The goal of the developed model is to increase revenue, which could be directed to the sustainable development of transport in the Republic of Srpska. The selection of a toll collection system has been made taking account of: economic, traffic, technical, organizational and exploitation criteria. Multiple-criteria approach has been applied together with the Analytic Hierarchy Process.
... The analytic hierarchy process-based multicriteria decision analysis (MCDA-AHP) [29] is often applied for the comparison of energy scenarios or alternatives, as reported by several international studies [30][31][32][33][34][35][36]21]. In our previous work, we have also used MCDA-AHP for similar problems [11,37,38]. ...
... The analytic hierarchy process-based multicriteria decision analysis (MCDA-AHP) [29] is often applied for the comparison of energy scenarios or alternatives, as reported by several international studies [21,[30][31][32][33][34][35][36]. In our previous work, we have also used MCDA-AHP for similar problems [11,37,38]. ...
Article
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Decision support techniques have a key role in investment and strategic decisions in the energy sector. As complex decision-making problems involve the simultaneous consideration of an extensive set of different factors, it is an essential part of the methodology to define, structure, and integrate the criteria. The main purpose of the study was to develop a system of criteria and weights that are suitable for general application in the energy sector and can best describe the decision-making mechanisms present in society and various social groups. When developing the system of criteria, we moved away from the hierarchical approach related to the three pillars of sustainability; therefore, a wide range of notions were assessed based on a population representative survey data collected in Hungary. We used algebraic methods to explore the internal structure of the set of criteria that had been previously defined by means of social sciences, while the importance weights were specified by applying the method of analytic network process. Furthermore, the ranking of heating and electricity generation alternatives were determined.
... Briefly, it entails a function in a certain number of decision variables, which are combined with some decision criteria and hence constitute of formal algebraic expression. Unfortunately these models may be applied in presence of simple cases, under restrictive simplifying hypotheses that greatly reduce their applicability AHP (Saaty, 1980) embodies a powerful and flexible multi-criteria decision-making tool for complex problems where both quantitative and qualitative aspects need to be considered. This represents, indeed, the most important characteristic and the benefit of such a tool. ...
... Used if more precision is needed Evaluate the correctness and the consistency of the given paid wise comparisons, by means of an inconsistency ratio (IR) [24]. The judgments can be considered acceptable if any only if IR # 0.1. ...
... 3) Determination of the relevancies of the assessment criteria for municipal residential buildings (AHP, Analytic Hierarchy Process) by using pairwise comparison matrices completed by experts [11]. This method was chosen because the relevancy of the criterion revealed the expert's/specialist's opinion on the importance of the criterion when selecting the best alternative from the list of available options. ...
... Only the questionnaires that have been completed correctly by each group assessed 11 13 10 Verification of the coordination of expert opinion and calculation of the mean of the relevance value of criteria chosen by the expert groups Development of the system of assessment criteria for residential buildings based on the calculated relevancies 11 municipal buildings (total -106 requirements), pairwise comparison method has been used to select and rank ten each group requirements: 1) compliance with regulatory documentation; 2) requirements on municipal functions; 3) public administration requirements. An expert assessment has revealed that the most relevant indicator pointing to the legal compliance of municipal housing is meeting the essential requirements applicable to buildings and low heating costs, while the decision-making is least affected by the access to buildings and the number of parking places. ...
... In addition to the techniques mentioned above, the AHP and the Analytic Network Process (ANP) represented very promising approaches of the MCDA method, where the aggregation of the selected criteria is based on a social science survey. The ability to address and involve society in decision making made the AHP and ANP methods prevalent in the energy sector, too [9,[16][17][18]. However, their application raised new problems, similar to all newly introduced tools. ...
Article
Full-text available
Energy strategies and decision-making studies rely heavily on a system of criteria and their weights of importance, typically determined through stakeholder involvement or surveys. However, the methodology presented in this study considers a reverse approach, as the importance weights are computed based on historical data of each European country’s prevailing decisions on pre-defined aspects. An in-house-developed model was applied to analyze data from the ENTSO-E database for the determination of optimal criteria weights with combination of a linear programming task and Monte Carlo simulations. Applying the new model, the importance weights of seven selected criteria could be calculated for all European countries. The Eastern European region demonstrated exceptional sensitivity towards investment costs, while countries relying heavily on renewable or nuclear energy sources, such as Denmark, Greece, Norway, Slovenia, Spain, and the United Kingdom, exhibited a dominant influence of environmental factors. Moreover, it was observed that the flexibility criterion aligned well with the installed generation capacities. However, the geopolitical factor and the risk of accidents criteria introduced nuances to the overall rating, indicating a somewhat reduced dependence on production data.
... We will focus in the following on the AHP method (Analytic Hierarchy Process) developed in 1980 by Saaty (1980). AHP is recommended to solve complex problems with a multi-criteria decision. ...
... The second step is the analytical hierarchy process (AHP), where the basic idea is to build a judgment matrix from the scalar values obtained by comparing the importance between two adjacent indicators in the sequence, so as to obtain the weights of each evaluation indicator of AHP. This paper uses a 1-9 scale to construct the judgment matrix of each layer [53]. ...
Article
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Understanding the causes of poverty and identifying the transformation characteristics of poverty is the basis for achieving poverty eradication. In order to clarify the availability of construction land for poverty assessment, this paper explores the spatio-temporal synergy between urban built-up areas and poverty transformation in Tibet. The following conclusions are drawn: (1) the built-up areas in Tibetan counties have been growing from 2013 to 2019; (2) the proportion of counties with very low and low levels of relative poverty have decreased significantly, and the overall spatial characteristics of poverty are “high in the center and low in the surroundings”; (3) the overall coupling-coordination level between the built-up areas and the relative poverty level is gradually improving from the initial antagonism, and the relative-poverty index shows a significant negative correlation with coupling coordination (correlation coefficient of −0.63); and (4) the built-up area has a strong explanatory power for the spatial distribution of regional relative-poverty transfer compared to temperature, precipitation, elevation, and slope. The results of the study prove that the built-up area cannot be directly used as an indicator factor when constructing the multidimensional relative-poverty model and, instead, should use urban built-up areas by region to participate in poverty-estimation models based on regional economic development.
... where is the consistency ratio (CR is utilized to specify the value of likelihood), is the consistency index (CI relies on the order of the matrix specified by Saaty [70]), and is the random index (random inconsistency) ( Table 3). CI is measured with the following equation (Equation (7)): ...
Article
Full-text available
Forest fires are among the most major causes of global ecosystem degradation. The integration of spatial information from various sources using statistical analyses in the GIS environment is an original tool in managing the spread of forest fires, which is one of the most significant natural hazards in the western region of Syria. Moreover, the western region of Syria is characterized by a significant lack of data to assess forest fire susceptibility as one of the most significant consequences of the current war. This study aimed to conduct a performance comparison of frequency ratio (FR) and analytic hierarchy process (AHP) techniques in delineating the spatial distribution of forest fire susceptibility in the Al-Draikich region, located in the western region of Syria. An inventory map of historical forest fire events was produced by spatially digitizing 32 fire incidents during the summers of 2019, 2020, and 2021. The forest fire events were divided into a training dataset with 70% (22 events) and a test dataset with 30% (10 events). Subsequently, FR and AHP techniques were used to associate the training data set with the 13 driving factors: slope, aspect, curvature, elevation, Normalized Difference Vegetation Index (NDVI), Normalized Difference Moisture Index (NDMI), Topographic Wetness Index (TWI), rainfall, temperature, wind speed, TWI, and distance to settlements, rivers and roads. The accuracy of the maps resulting from the modeling process was checked using the validation dataset and receiver operating characteristics (ROC) curves with the area under the curve (AUC). The FR method with AUC = 0.864 achieved the highest value compared to the AHP method with AUC = 0.838. The outcomes of this assessment provide constructive spatial insights for adopting forest management strategies in the study area, especially in light of the consequences of the current war.
... When choosing and buying dairy products, a complex decision is made between the consumer and the product. The complexity of the decision-making process at the time of purchase reflects the importance of each milk package to consumers (Saaty, 1980). Then, Visual criteria in this study are the font style, product form, image and background color, and the purpose of the performance criteria is easy portability and product recyclability. ...
... When choosing and buying dairy products, a complex decision is made between the consumer and the product. The complexity of the decision-making process at the time of purchase reflects the importance of each milk package to consumers (Saaty, 1980). Then, Visual criteria in this study are the font style, product form, image and background color, and the purpose of the performance criteria is easy portability and product recyclability. ...
Article
Full-text available
Manuscript type: Research paper Research Aims: This study seeks to investigate the effect of visual and functional criteria on packaging and consumer expectations towards the packaging elements of dairy products for children. Design/methodology/approach: For this purpose a sample containing 334 children between 7- 12 years were used. Sampling method was random sampling and measuring tool was questionnaire. In order to data analysis and hypothesis testing, structured equations test by means of “Lisrel software” was used and the research results show that recyclability of product, easy to carry, packaging (product) form and illustrations on packaging variables haven’t positive and significant effect on consumer’s expectations toward packaging elements of product. Research Findings: On the other hand packaging (background) color and font style variables have positive and significant effect on consumer’s expectations toward packaging elements of product. Thus, according to the results visual criteria have more effective role on packaging than functional criteria. Theoretical Contribution/Originality: As the general rule of all affecting factors in stimulating Visual and Functional Criteria of Packaging of customers, this is a rare study which investigates and provides insights to clarify the exact role of the factors in the field. Practitioner/Policy Implication: Scrutinizing the motivators of Visual and Functional Criteria of Packaging and their interrelationships would help professionals as well as scholars to understand its determinants, which will lead to more insightful decisions. Further, this understanding may be useful in shaping marketing policies and strategies for Iranian and the other firms al around the world. Research limitation/Implications: Lack of cooperation of some respondents; As well as the limited results to the respondents’ perceptions of the questionnaire questions.
... Some techniques used to rank the requirements and to choose the most appropriate CA for an information system include the cost-value approach (CVA) [Karlsson and Ryan 1997], the analytic hierarchy process (AHP), numerical assignment, the 100-dollar test, the top-ten requirements, binary search tree, and bubble sort [van Lamsweerde 2009, Karlsson et al. 1998]. Among these techniques, AHP assists in complex decision-making, and it has been developed to analyze variables that are difficult to compare [Saaty 1980]. While AHP provides a hierarchical classification of requirements (e.g., ranking the cost in descending order), CVA implements a two-dimension approach to display the requirements' value against their cost and value [Karlsson and Ryan 1997]. ...
Article
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Software engineers make use of several computational architectures (CA) to host an application, such as desktop, web, and cloud computing architectures. As the requirements vary according to the desired CA, developers may face two problems: determining which requirement better fulfills a CA and determining which CA fulfills a given set of requirements. This paper presents a new approach based on the Cost-Value Approach (CVA). We have slightly modified the CVA method (SCVA method) and also developed a new method for choosing the most appropriate CA (MMACA method). Our results provide a set of requirements ordered by priority for each CA. Finally, we discuss the current and most appropriate CA for a real project solution.
... Analytic Hierarchy Process (AHP) is a better method to determine the weight. It is a multi-objective and multi-criteria decision-making method that divides the factors in a complex problem into interrelated and ordered levels; it is an effective method combining quantitative analysis with qualitative analysis [1]. In this paper, the researcher constructs the model in strict accordance with the procedure prescribed by AHP, and follows the scientific, systematic and operability principles of index selection. ...
Article
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In order to develop rural eco-tourism better, it is very important to establish a suitable evaluation index system of tourism resources. This study constructs an evaluation indicator system of rural ecotourism resources in Shanghai from three aspects: Resource values, ecological environment and development conditions, which includes 18 indexes. Using AHP to determine the weight, in the comprehensive level of evaluation, Resource values (B1)> Ecological environment(B2) > Development conditions(B3). Among the most important indicators are: Recreational value (C1), Pollution control capability (C8), Farming experience value (C7), Environmental hygiene (C9), Convenience of transportation (C14), Ecological value (C4) and Life experience value (C6). By using this evaluation model to grade the rural ecotourism resources in Shanghai through questionnaire survey, the result is that the rural ecotourism resources in Shanghai are quite good. With the development of the construction of the Beautiful Country, the value of rural eco-tourism resources in Shanghai has been continuously explored and the eco-environmental quality is assessed higher, which provides an important guarantee for the development of rural eco-tourism in Shanghai. In addition, cultural values and health value need to be tapped in depth, and efforts should be made to increase the publicity and communication among local residents in rural tourist destinations. While optimizing the construction of tourism facilities, we must constantly improve the level of service management, so as to improve the service quality of rural ecotourism.
... Pairwise comparisons are a vital part of the prioritisation procedure in the Analytic Hierarchy Process (AHP), which provides a comprehensive and rational framework for structuring a decision problem (Saaty, 1980). In the AHP, the pairwise judgements are structured in pairwise comparison matrices (PCM), and some prioritisation procedures are applied to derive a corresponding priority vector. ...
... On the demand side, we consider QoS as a single normalized parameter that is a function aggregating various parameters such as download speeds, upload speeds, data limits, performance at peak hours and latency. A single value of QoS representing an aggregate of many different metrics is also seen in auction theory [34] and domains such as cloud computing [35,36], and can be achieved using the analytic hierarchy process [37]. ...
Article
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The telecommunications industry has evolved from voice-centric to provisioning of broadband data services. As witnessed in countries around the world, the industry has an oligopoly market structure with a few operators providing services. The services offered by the operators differ in both price and quality of service. On the other hand, consumers differ in their preferences over price and quality, with some displaying sensitivity towards price and others towards quality. In this paper, we provide the standard microeconomic framework of supply and demand for telecom services and derive equilibria under varying supply and demand conditions. In particular, we analyze the strategies of new entrants vis-à-vis incumbents in offering service plans over varying price and quality dimensions. We also analyze the equilibria for varying elasticities of demand of consumers. We then validate the analytical results by simulation using an agent based model with operator and consumer agents. Our results show that new entrants ought to target relatively elastic consumers as their market entry strategy, by offering a combination of low price, high-quality service plans to gain market share. On the other hand, incumbent operators ought to continue to target relatively inelastic consumers who have loyalty towards them due to larger network effects and associated higher switching costs. Our simulation results also confirm the analytical results. Telecom regulators can use the study results in assessing and regulating (i) market power dynamics of incumbents and new entrants; (ii) tariff plans offered by operators for possible predatory pricing; and (iii) quality of service to meet threshold minimum quality of standard levels.
... The analytical hierarchical process (AHP) [108] is a widely used method for decision support in which the decision maker provides pairwise information about the intensity of the different criteria, which are mapped to a numerical scale, determining an evaluation matrix. A weighting vector is then computed from the principal eigenvector of the matrix. ...
Article
Preference elicitation is an important component in many AI applications, including decision support and recommender systems. Such systems must assess user preferences, based on interactions with their users, and make recommendations using (possibly incomplete and imprecise) beliefs about those preferences. Mechanisms for explicit preference elicitation—asking users to answer direct queries about their preferences—can be of great value; but due to the cognitive and time cost imposed on users, it is important to minimize the number of queries by asking those that have high (expected) value of information. An alternative approach is to simply make recommendations and have users provide feedback (e.g., accept a recommendation or critique it in some way) and use this more indirect feedback to gradually improve the quality of the recommendations. Due to inherent uncertainty about a user's true preferences, often a set of recommendations is presented to the user at each stage. Conceptually, a set of recommendations can also be viewed as choice query, in which the user indicates which option is most preferred from that set. Because of the potential tension between making a good set recommendation and asking an informative choice query, we explore the connection between the two. We consider two different models of preference uncertainty and optimization: (a) a Bayesian framework in which a posterior over user utility functions is maintained, optimal recommendations are assessed using expected utility, and queries are assessed using expected value of information; and (b) a minimax-regret framework in which user utility uncertainty is strict (represented by a polytope), recommendations are made using the minimax-regret robustness criterion, and queries are assessed using worst-case regret reduction. We show that, somewhat surprisingly, in both cases, there is no tradeoff to be made between good recommendations and good queries: we prove that the optimal recommendation set of size k is also an optimal choice query of size k. We also examine the case where user responses to choice queries are error prone (using both constant and mixed multinomial logit noise models) showing the results are robust to this form of noise. In both frameworks, our theoretical results have practical consequences for the design of interactive recommenders. Our results also allow us to design efficient algorithms to compute optimal query/recommendation sets. We develop several such algorithms (both exact and approximate) for both settings and provide empirical validation of their performance.
... Membuat matriks perbandingan ber-pasangan untuk membandingkan elemenelemen secara berpasangan sesuai dengan kriteria yang diberikan. Perbandingan berpasangan menurut Saaty (1980) bisa diukur menggunakan tabel 1: ...
Article
Pemilihan dosen berprestasi di Universitas Islam Balitar berkaitan dengan adanya pemilihan dosen berprestasi yang diadakan oleh Kopertis Wilayah VII, sehingga universitas akan ikut berpartisipasi untuk mengirim perwakilan dosen ke tingkat Kopertis. Kriteria yang digunakan dalam pemilihan dosen berprestasi adalah kriteria prestasi unggul dan karya tridarma. Subkriteria untuk prestasi unggul adalah penelitian, pendidikan dan pengabdian. Subkriteria untuk karya tridarma adalah penelitian, pendidikan, pengabdian dan penunjang lainnya. Sistem pendukung keputusan pemilihan dosen berprestasi ini menggunakan metode Analytical Hierarchy Process (AHP) yang dilakukan dengan membuat nilai matriks berpasangan untuk masing-masing kriteria. Nilai dari matriks berpasangan hasilnya harus konsisten. Data penilaian dosen akan dihitung dengan nilai matriks berpasangan dan hasil dari perhitungan tersebut akan muncul berbentuk rating nilai. Rating nilai dosen yang tertinggi, berhak untuk menjadi dosen berprestasi di Universitas Islam Balitar.
... It is usually achieved through a weighted sum approach based on a number of alternatives (Ananda & Herath, 2009;Köksalan et al., 2011;Mansourian et al., 2011;Mosadeghi et al., 2015;Ullah & Mansourian, 2015). There are a variety of techniques for weighting the criteria such as Technique for Order of Preference by Similarity to Ideal Solution (TOP-SIS) (Hwang & Yoon, 1981) and the Analytic Hierarchy Process (AHP) (Saaty, 1980). Experts' opinions influence the weighting process very much, which may result in bias in making a decision. ...
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Land-use planning, which requires finding a balance among different conflicting social, economic and environment factors, is a complex task needed everywhere, including Africa. One example is the city of Zanzibar in Tanzania, which is under special consideration for land-use revision. From one side, the city has high potentials for tourist industry and at the other side there are major challenges with the city structure and poor accessibilities. In order to prepare a proper land-use plan for the city, a variety of influencing conflicting factors needs to be considered and satisfied. This can be regarded as a common problem in many African cities, which are under development. This paper aims to address the problem by proposing and demonstrating the use of Geographical Information System (GIS) and multi-objective optimization for land-use planning, in Zanzibar as a case study. The measures which have been taken by Zanzibar government to address the development challenges through the Zanzibar Strategy for Growth and Reduction of Poverty (ZSGRP) were identified by studying related documents and interviewing experts. Based on these, two objective functions were developed for land-use planning. Optimum base land-use plans were developed and mapped by optimizing the objective functions using the NSGA-II algorithm. The results show that the proposed approach and outputs can considerably facilitate land-use planning in Zanzibar. Similar approaches are highly recommended for other cities in Africa which are under development.
... The Analytic Hierarchy Process (AHP), introduced by Thomas Saaty, is a structured technique for organizing and analyzing complex decisions, based on mathematics and psychology [16]. It provides a comprehensive and rational framework for structuring a decision problem, for representing and quantifying its elements, for relating those elements to overall goals, and for evaluating alternative solutions. ...
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Software risk management is a proactive decision‐making practice with processes, methods, and tools for managing risks in a software project. Many existing techniques for software project risk management are textual documentation with varying perspectives that are nonreusable and cannot be shared. In this paper, a life‐cycle approach to ontology‐based risk management framework for software projects is presented. A dataset from literature, domain experts, and practitioners is used. The identified risks are refined by 19 software experts; risks are conceptualized, modeled, and developed using Protégé. The risks are qualitatively analyzed and prioritized, and aversion methods are provided. The framework is adopted in real‐life software projects. Precision recall and F‐measure metrics are used to validate the performance of the extraction tool while performance and perception evaluation are carried out using the performance appraisal form and technology acceptance model, respectively. Mean scores from performance and perception evaluation are compared with evaluation concept scale. Results showed that cost is reduced, high‐quality projects are delivered on time, and software developers found this framework a potent tool needed for their day‐to‐day activities in software development.
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The paper deals with the possible comparative analysis methods of the cryptographic primitives' properties. Methods of comparative analysis-analytic hierarchy process and variations of weight indices methods are investigated and analyzed. Conclusions are made and recommendations on the use of the cryptographic primitives' estimation methods are provided. Also the paper is devoted to the comparative analysis of candidates for the post-quantum key encapsulation standard according to the determined estimation technique. During the analysis, the technique of comparing cryptographic algorithms on the basis of expert estimations using the combination of conditional and unconditional criteria by the analytic hierarchy process was used.
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In this paper, we propose two new methods to solve the problem of incomplete reciprocal fuzzy preference relations. Sometimes decision-maker(s) might not be able to provide complete information about their preferences on the alternatives. In general, an incomplete preference relation can be completed if at least a set of n−1 nonleading diagonal preference values are known and each one of the alternatives is compared directly or indirectly at least once. However, this is not always the case. Sometimes, the decision-maker(s) might not be able to provide any information with regards to at least one of the alternatives, which is called the ignorance situation. We propose two new methods based on additive consistency for solving these two problems in a multi-attributes/group decision-making environment. The first method is based on a system of equations, which is suitable for estimating missing information in the general case. The second method, which is an extension of the system of equations, utilizes a goal programming model to address the ignorance situations. Our validation of these two methods shows that the proposed methods generate a high consistency level irrespective of the nature of the problem under study. The proposed methods outperform other comparable methods without a need to modify or change the original decision-maker(s) preferences.
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