A modified method of generating Z-number based on OWA weights and maximum entropy

Tian, Ye; Kang, Bingyi

doi:10.1007/s00500-020-04914-8

Cited by 24 publications

(7 citation statements)

References 60 publications

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“…The weight vector for n-IPFOWA operator is generated by using the maximum entropy-based programming method [37], which is shown as follows.…”

Section: B N-intuitionistic Polygonal Fuzzy Ordered Weighted Averagimentioning

confidence: 99%

n-Intuitionistic Polygonal Fuzzy Aggregation Operators and Their Application to Multi-Attribute Decision Making

Geng

2020

IEEE Access

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The n-intuitionistic polygonal fuzzy set (n-IPFS), combined by the intuitionistic fuzzy and polygonal fuzzy sets, is an extended form of the triangular intuitionistic fuzzy set (TIFS) and the trapezoidal intuitionistic fuzzy set (TrIFS). The aim of this paper is to develop some new aggregation operators for n-IPFSs and apply them to multi-attribute group decision making (MAGDM) problems. First, the operational properties and the score function of n-IPFSs are defined. Then, three kinds of n-intuitionistic polygonal fuzzy aggregation operators are investigated including n-intuitionistic polygonal fuzzy weighted averaging (n-IPFWA) operator, n-intuitionistic polygonal fuzzy ordered weighted averaging (n-IPFOWA) operator and n-intuitionistic polygonal fuzzy hybrid aggregation (n-IPFHA) operator. Finally, we propose an improved technique for order preference by similarity to an ideal solution (TOPSIS) approach with n-IPFSs and unknown attributes weights. The attributes weights are obtained by combining the entropy weights and the subjective weights, and the entropy weights are calculated based on the score function of n-IPFS. The spatial closeness reflected by the Hamming distance and the grey relationship with the positive/negative solution are both considered in getting the relative closeness degree to rank the alternatives. The example analysis of a location selection is given to verify the practicality and the effectiveness of the proposed approach in this paper. INDEX TERMS n-intuitionistic polygonal fuzzy set, multi-attribute group decision making, aggregation operator, TOPSIS, grey relation analysis

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“…The weight vector for n-IPFOWA operator is generated by using the maximum entropy-based programming method [37], which is shown as follows.…”

Section: B N-intuitionistic Polygonal Fuzzy Ordered Weighted Averagimentioning

confidence: 99%

n-Intuitionistic Polygonal Fuzzy Aggregation Operators and Their Application to Multi-Attribute Decision Making

Geng

2020

IEEE Access

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“…The uncertainty of information in the RES investment decision process attributes to the subjectivity of domain experts and the complexity of the evaluation objects. The existing methods for dealing with uncertain information are fuzzy set theory (Bilgili et al, 2022;Van Thanh, 2022;Saraswat and Digalwar, 2021), grey theory (Wang C.-N. et al, 2021;Almutairi et al, 2022), Dempster-Shafer (D-S) evidence theory (Deng and Jiang, 2020;Xiong et al, 2021;Xiao, 2021), Dnumber theory (Deng and Jiang, 2019b,a), and Z-number theory (Rathore et al, 2021;Tian and Kang, 2020;Li et al, 2020;Jiang et al, 2020). Among them, Z-number can represent the uncertainty and the reliability of evaluating information simultaneously (Hu and Lin, 2022;Cheng et al, 2022;Tian et al, 2021;Meng et al, 2022b), which is superior in the modeling of uncertainties in RES investment.…”

Section: Introductionmentioning

confidence: 99%

A new decision making method based on Z-decision-making trial and evaluation laboratory and ordered weighted average and its application in renewable energy source investment

Guan

Xu³

et al. 2022

Front. Energy Res.

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Decision-making methods are widely used in renewable energy source (RES) investment. In practical applications, various conditions need to be considered during the decision-making process, such as uncertainty and reliability of information, dependence among criteria, and different risk preferences of the decision makers. However, there is currently a lack of effective consideration of all these conditions. In this article, a new decision-making method based on Z-DEMATEL and the maximal entropy OWA operator is proposed, where Z-number is used to characterize the uncertainty and reliability of the information, decision-making trial and evaluation laboratory (DEMATEL) technique, and the maximal entropy ordered weighted average (OWA) operator are used to deal with dependence and risk preference, respectively. The application example in RES investment and discussions show the effectiveness and the advantages of the proposed method.

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“…Firstly, generating Z-number was an open issue. For solving this, ordered weighted averaging operators(OWA) based and logistic regression based studies were made [5,6] . Although there were studies about generating Z-number, most of them about Z-number were linguistic [7][8][9] .…”

Section: Introductionmentioning

confidence: 99%

A Review on Ranking of Z-numbers

Bilgin

Alcı

2022

j. of Comput. sci. res.

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There are numerous studies about Z-numbers since its inception in 2011. Because Z-number concept reflects human ability to make rational decisions, Z-number based multi-criteria decision making problems are one of these studies. When the problem is translated from linguistic information into Z-number domain, the important question occurs that which Z-number should be selected. To answer this question, several ranking methods have been proposed. To compare the performances of these methods, benchmark set of fuzzy Z-numbers has been created in time. There are relatively new methods that their performances are not examined yet on this benchmark problem. In this paper, we worked on these studies which are relative entropy based Z-number ranking method and a method for ranking discrete Z-numbers. The authors tried to examine their performances on the benchmark problem and compared the results with the other ranking algorithms. The results are consistent with the literature, mostly. The advantages and the drawbacks of the methods are presented which can be useful for the researchers who are interested in this area.

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A modified method of generating Z-number based on OWA weights and maximum entropy

Cited by 24 publications

References 60 publications

n-Intuitionistic Polygonal Fuzzy Aggregation Operators and Their Application to Multi-Attribute Decision Making

n-Intuitionistic Polygonal Fuzzy Aggregation Operators and Their Application to Multi-Attribute Decision Making

A new decision making method based on Z-decision-making trial and evaluation laboratory and ordered weighted average and its application in renewable energy source investment

A Review on Ranking of Z-numbers

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