A New Picture Fuzzy Entropy and Its Application Based on Combined Picture Fuzzy Methodology with Partial Weight Information

Kumar, Sunit; Arya, Vikas; Kumar, Satish; Dahiya, Ashok

doi:10.1007/s40815-022-01332-w

Cited by 26 publications

(5 citation statements)

References 61 publications

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“…An entropy measure for PIFSs with its application in decision-making was proposed by Arya and Kumar [66]. Some other studies concerning the information measures for FSs and their extensions are available in the literature [2], [7], [16], [20], [67]- [72], [73]- [76], [77]- [85]. SFSs are an extension of PIFSs, and they also get over their drawbacks.…”

Section: Introductionmentioning

confidence: 99%

A New Entropy Measure and COPRAS Method for Spherical Fuzzy Sets

Ganie,

Dutta,

Sharma

2024

IEEE Access

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One of the best ways to handle the ambiguity and unpredictable nature of decision-making is through fuzzy logic, and one of the most recent developments in this area is the concept of spherical fuzzy sets. Since the squared total of membership, non-membership, and hesitation degrees should be between 0 and 1, and each degree should be defined in [0, 1], the hesitation of the decision-maker(s) about an attribute can be conveyed more thoroughly. The ambiguity of a fuzzy set is computed with the help of an entropy measure, and the available entropy measures for spherical fuzzy sets have various limitations. So, in this study, we suggest an innovative entropy measurement for spherical fuzzy sets and demonstrate its capacity to satisfy the axiomatic requirements. We compared the proposed entropy metric and all currently available spherical fuzzy entropy metrics, considering different factors, including attribute weight computation, linguistic hedges, and ambiguity computation. With the help of the proposed entropy metric, we introduce the Complex Proportional Assessment method for spherical fuzzy sets and illustrate it with a numerical example.

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Section: Introductionmentioning

confidence: 99%

A New Entropy Measure and COPRAS Method for Spherical Fuzzy Sets

Ganie,

Dutta,

Sharma

2024

IEEE Access

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“…Khan [ 29 ] proposed a bi-parameter similarity and distance metric under the PFS environment and applied it in medical diagnosis. Kumar [ 30 ] proposed a new picture fuzzy entropy measure and proved that the proposed measure satisfies the axiomatic definition of entropy measures for picture fuzzy sets. Singh [ 31 ] proposed some new similarity for PFSs which can distinguish highly similar but different PFSs, and applied it in pattern recognition, cluster analysis, and MADM.…”

Section: Introductionmentioning

confidence: 99%

Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application

Jian

Han

2023

Complex Intell. Syst.

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The purpose of this paper is to study the multi-attribute decision-making problem under the fuzzy picture environment. First, a method to compare the pros and cons of picture fuzzy numbers (PFNs) is introduced in this paper. Second, the correlation coefficient and standard deviation (CCSD) method is used to determine the attribute weight information under the picture fuzzy environment regardless of whether the attribute weight information is partially unknown or completely unknown. Third, the ARAS and VIKOR methods are extended to the picture fuzzy environment, and the proposed PFNs comparison rules are also applied in the PFS-ARAS and PFS-VIKOR methods. Fourth, the problem of green supplier selection in a picture-ambiguous environment is solved by the method proposed in this paper. Finally, the method proposed in this paper is compared with some methods and the results are analyzed.

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“…Zhang et al [36] introduced extended ELECTRE TRI approach under PFSs. Kumar et al [30] developed TODIM(an acronym in Portuguese of interactive MCDM)-ELECTRE technique under PF environments. Thus, Cuong's theory aligns closely with human nature compared to existing theories.…”

Section: Introductionmentioning

confidence: 99%

An Integrated Spherical Cubic Fuzzy ELECTRE-I Decision-Making Algorithm for Enhancing Online Banking Security

Nabeel,

Ali

2023

Preprint

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Due to the quick advancement of computer technology, the relevance of information has increased significantly for the banking sector. Protecting information security has consequently become a top priority for all banks. To solve this problem, we provide a unique strategy that extends an outranking technique named "ELiminating Et Choice Translating REality (ELECTRE)" in the context of a spherical cubic fuzzy (SCF) environment. Our suggested SCF-ELECTRE-I technique uses concordance and discordance sets, and a directed decision graph is used to offer the best option. Hence, based on score and accuracy levels, we establish three types of concordance and discordance sets: weak, medium, and strong. We intend to provide a multi-criteria group decision-making (MCGDM) strategy for evaluating online banking security concerns by combining these sets. We investigate the application of our suggested method and conduct a comparison with a few existing symmetrical approaches in order to confirm its validity and dependability.

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A New Picture Fuzzy Entropy and Its Application Based on Combined Picture Fuzzy Methodology with Partial Weight Information

Cited by 26 publications

References 61 publications

A New Entropy Measure and COPRAS Method for Spherical Fuzzy Sets

A New Entropy Measure and COPRAS Method for Spherical Fuzzy Sets

Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application

An Integrated Spherical Cubic Fuzzy ELECTRE-I Decision-Making Algorithm for Enhancing Online Banking Security

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