Xindong Peng

Shaoguan University | SGU · School of Information Engineering

The q-rung orthopair fuzzy set is an extension of fuzzy set, whose remarkable characteristic is that the sum of q power of membership degree, non-membership degree and hesitation degree is equal to 1. Inequalities on q-rung orthopair fuzzy set are of importance in theory of uncertainty. In this paper, firstly, some q-rung orthopair fuzzy inequaliti...

Cache replacement policy (CRP) in content-centric network (CCN) can reduce cache redundancy, optimize cache utility, and improve network performance. When assessing the CRPs in CCN, it is often full of great uncertainty. Set pair analysis (SPA) is a pioneering uncertainty theory, which consists of three components of the connection number (CN), and...

One of the central tasks of genome research is to predict phenotypes and discover some important gene biomarkers. However, there are three main problems in analyzing genomics data to predict phenotypes and gene marker selection. Such as large p and small n, low reproducibility of the selected biomarkers, and high noise. To provide a unified solutio...

The intelligent healthcare management is of great concern to mobilize the enthusiasm of individuals and groups, and effectively use limited resources to achieve maximum health improvement by AI technology. When considering the intelligent healthcare management evaluation, the primary issues involve many uncertainties. Interval-valued fuzzy soft set...

Big data industry decision is supremely important for companies to boost the efficiency of leadership, which can vastly accelerate industrialized. With regard to big data industry decision assessment, the intrinsic problem involves enormous inexactness, fuzziness and ambiguity. Pythagorean fuzzy sets (PFSs), managing the uncertainness depicted in n...

Mobile edge caching scheme (MECS) can determine where, how, and what to cache on user equipment by employing its own storage. When considering the performance of MECS, it is often full of uncertainty. The q‐rung orthopair fuzzy set (q‐ROFS), characterized by membership and nonmembership degrees with adjustable parameter q, is quite a high‐efficienc...

The corona virus disease 2019 (COVID-19) has emerged as a fatal virus. This deadly virus has taken the whole world into clutches and many people have embraced death due to this invincible bug. The death toll is rising with every tick of time. The aspiration behind this article is to discover the preventive measure that should be taken to cope with...

Most of the real life problems embroil uncertainties, imprecision and vagueness. Fuzzy multisets and Pythagorean fuzzy sets, initially suggested by Yager, are signi¯cant mathematical mod- els to handle such real world problems. By combining these two notions, we introduce a new kind of hybrid mathematical model: Pythagorean fuzzy multisets (PFM-set...

In the age of big data, we often face the huge Volume, high Velocity, rich Variety, accuracy Veracity and high Value (5Vs) with complicated structures. Big data industrial decision making is crucial for a country or society to improve the effectiveness of leadership, which can remarkably promote scale development and industrialization. Under such c...

The financial risk evaluation is critically vital for enterprises to identify the potential financial risks, provide decision basis for financial risk management, and prevent and reduce risk losses. In the case of considering financial risk assessment, the basic problems that arise are related to strong fuzziness, ambiguity and inaccuracy. q-rung o...

In recent years, the assessment of desirable renewable energy alternative has been an extremely important concern that could change the environment and economic growth. To tackle the circumstances, some authors have paid attention to selecting the desirable renewable energy option by employing the decision-making assessment and linguistic term sets...

Neutrosophic set, initiated by Smarandache, is a novel tool to deal with vagueness considering the truth-membership T, indeterminacy-membership I and falsity-membership F satisfying the condition 0≤T+I+F≤3 . It can be used to characterize the uncertain information more sufficiently and accurately than intuitionistic fuzzy set. Neutrosophic set has...

We study, in this paper, some notions related to Pythagorean fuzzy soft sets (PFSSs) along with their algebraic structures. We present operations on PFSSs and their peculiar characteristics and elaborate them with real life examples and tabular representation to develop the affluence of linguistic variables based on Pythagorean fuzzy soft (PFS) inf...

Pythagorean fuzzy set, generalized by Yager, is a new tool to deal with vagueness considering the membership grade \(\mu \) and non-membership \(\nu \) satisfying the condition \(\mu ^2+\nu ^2\le 1\). It can be used to characterize the uncertain information more sufficiently and accurately than intuitionistic fuzzy set. Pythagorean fuzzy set has at...

In this paper, we propose an intuitively straightforward extension of the vague soft set model called the vague parameterized vague soft set (vp-VSS). This model generalizes the vague soft set by including the opinions of an expert or a moderator regarding the values of the membership function for the parameters that are considered, in the form of...

With the intensification of global warming trends, the frequent occurrence of natural disasters has brought severe challenges to the sustainable development of society. Emergency decision‐making (EDM) in natural disasters is playing an increasingly important role in improving disaster response capacity. In the case of EDM evaluation, the essential...

In the age of mobile cloud computing, we are confronted by mobility, diversity of network access types, frequent network disconnection and poor reliability, and security with complex structures. Mobile cloud computing industry decision making is crucially important for countries or societies to enhance the effectiveness and validity of leadership,...

The assessment of classroom teaching quality is critically important for producing a positive incentive and guidance role to improve service and management of universities, stimulating the enthusiasm of teachers, enhancing the teacher’s teaching ability, and improving the quality of talent training. In considering the case of teaching quality evalu...

Pythagorean fuzzy set (PFS), disposing the indeterminacy portrayed by membership and non-membership, is a more viable and effective means to seize indeterminacy. Due to the defects of existing Pythagorean fuzzy similarity measures or distance measures (cannot obey third or fourth axiom; have no power to differentiate positive and negative differenc...

q‐Rung orthopair fuzzy set (q‐ROFS) is a powerful tool that attracts the attention of many scholars in dealing with uncertainty and vagueness. The aim of paper is to present a new score function of q‐rung orthopair fuzzy number (q‐ROFN) for solving the failure problems when comparing two q‐ROFNs. Then a new exponential operational law about q‐ROFNs...

In this paper, we initiate a new axiomatic definition of single-valued neutrosophic distance measure and similarity measure, which is expressed by single-valued neutrosophic number that will reduce the information loss and remain more original information. Meanwhile, a novel score function is proposed. Then, the objective weights of various attribu...

In this paper, we investigate the multiple attribute decision making (MADM) problems in which the attribute values take the form of interval-valued dual hesitant fuzzy elements (IVDHFEs). The existing t-norms and t-conorms, including the algebraic, Einstein, Frank and Hamacher t-norms and t-conorms, can be regarded as special cases of Archimedean t...

In this paper, we investigate the multiple attribute decision making (MADM) problems in which the attribute values take the form of hesitant trapezoidal fuzzy elements (HTFEs). The existing t-norms and t-conorms, including the Algebraic, Einstein, Frank and Hamacher t-norms and t-conorms, can be regarded as special cases of Archimedean t-norm and t...

This paper presents three novel hesitant fuzzy soft set (HFSS) methods. First, the objective weights of various parameters are determined via Shannon entropy theory. Then, we develop the combined weights, which can show both the subjective information and the objective information. Later, we propose three algorithms to solve hesitant fuzzy soft dec...

Interval-valued fuzzy soft decision making problems have obtained great popularity recently. Most of the current methods depend on level soft set that provide choice value of alternatives to be ranked. Such choice value always encounter the equal condition that the optimal alternative can't be gained. Most important of all, the current decision mak...

Soft set theory was originally proposed by Molodtsov in 1999 as a general mathematical tool for dealing with uncertainty. However, it has been pointed out that classical soft set model is not appropriate to deal with imprecise and fuzzy problems. In order to handle these types of problems, some fuzzy extensions of soft set theory are presented, yie...

In this paper, we initiate a new axiomatic definition of Pythagorean fuzzy distance measure, which is expressed by Pythagorean fuzzy number that will reduce the information loss and remain more original information. Then, the objective weights of various criteria are determined via grey system theory. Combining objective weights with subjective wei...

Pythagorean fuzzy set (PFS), originally proposed by Yager, is more capable than intuitionistic fuzzy set (IFS) to handle vagueness in the real world. The main purpose of this paper is to investigate the relationship between the distance measure, the similarity measure, the entropy, and the inclusion measure for PFSs. The primary goal of the study i...

This paper presents three novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information. Then, the objective weights of...

In this paper, we define a new axiomatic definition of interval neutrosophic similarity measure, which is presented by interval neutrosophic number (INN). Later, the objective weights of various attributes are determined via Shannon entropy theory; meanwhile, we develop the combined weights, which can show both subjective information and objective...

In order to solve the problem that intuitionistic linguistic set can’t deal with the situation that the sum of membership degree and non-membership degree belonging to linguistic value is bigger than 1, and Pythagorean fuzzy linguistic set is proposed. For the Pythagorean fuzzy linguistic information aggregating problems, some operational laws, sco...

In this paper, some new inequalities of Pythagorean fuzzy weighted averaging (PFWA) operator are explored. Later, we develop some Pythagorean fuzzy point operators and introduce generalized Pythagorean fuzzy weighed averaging (GPFWA) operator. Moreover, combining the Pythagorean fuzzy point operators with GPFWA operator, we present some generalized...

In this paper, we define the Choquet integral operator for Pythagorean fuzzy aggregation operators, such as Pythagorean fuzzy Choquet integral average (PFCIA) operator and Pythagorean fuzzy Choquet integral geometric (PFCIG) operator. The operators not only consider the importance of the elements or their ordered positions but also can reflect the...

The soft set theory is a newly mathematical tool to deal with uncertain problems. However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In this paper, we introduce the average function and propose the interval-valued intuitionistic hesitant fuzzy soft sets (IVIHFSSs) which are a combination of the interva...

In view of hesitant fuzzy linguistic decision methods are given by people which have great subjectivity and lead to the instability of the decision making results.The combination weight is proposed which is used to solve the problem of unbeknown weight in hesitant fuzzy linguistic multiple attribute decision making and overcomes the uncertainty cau...

The soft set theory can be used as a newly mathematical tool to handle uncertainty. However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In this paper, we propose the interval-valued hesitant fuzzy soft sets which are a combination of the interval-valued hesitant fuzzy sets and soft sets. Then, the compl...

In order to effectively portray the non-membership situation of hesitant fuzzy soft set parameters in decision making process,based on the non-membership characteristics of dual hesitant fuzzy set and the parameterization of soft set,the concept of dual hesitant fuzzy soft set is proposed.On the definitions of dual hesitant fuzzy soft set,some oper...

Focusing on the precise definition of information measures for interval-valued fuzzy soft sets, the distance measure, the similarity measure, the entropy measure, the inclusion measure, and the subsethood measure of interval-valued fuzzy soft sets were introduced. A series of formulae of information measures were presented, and their transformation...

In order to solve the problem that intuitionistic fuzzy soft set can not deal with the situation that the sum of membership degree and non-membership degree of the parameter is bigger than 1.It makes the decision processs limted,and affects the application range.This paper combines the characteristics of Pythagorean fuzzy set with the parameterizat...

There is a lot of literature related to similarity measure of the intuitionistic fuzzy set, while some of the existing formulae are inefficient to handle practical problems. Famous scholars Boran and Akay who are from Turkey proposed a new biparametric formula about similarity measure, which improved the failure of some pattern recognitions in the...

In this short paper, we point out the object-parameter method proposed in [1] is not always effective under some incomplete circumstances, sometimes, the predicted data obtained by this method are greater than one, this result does not satisfy what is required in the definition of membership degree of fuzzy sets.

Pythagorean fuzzy sets (PFSs), originally proposed by Yager (Yager, Abbasov. Int J Intell Syst 2013;28:436–452), are a new tool to deal with vagueness considering the membership grades are pairs satisfying the condition . As a generalized set, PFSs have close relationship with intuitionistic fuzzy sets (IFSs). PFSs can be reduced to IFSs satisfying...

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainty. In this work, bipolar multi-fuzzy soft set and its operations are introduced, and a few of their properties are studied. Finally, an algorithm is presented by means of positive and negative level soft sets, and an application based...