Generalized TODIM method based on symmetric intuitionistic fuzzy Jensen-Shannon divergence

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dc.authoridWu, Xinxing/0000-0002-2716-1416
dc.contributor.authorWu, Xinxing
dc.contributor.authorZhu, Zhiyi
dc.contributor.authorChen, Guanrong
dc.contributor.authorPedrycz, Witold
dc.contributor.authorLiu, Lantian
dc.contributor.authorAggarwal, Manish
dc.date.accessioned2024-05-19T14:42:50Z
dc.date.available2024-05-19T14:42:50Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractIntuitionistic fuzzy (IF) theory has become main approach to representing imprecision and vagueness. The IF divergence measure (IFDivM) based on Jensen-Shannon divergence is perhaps the most widely used measure to compare the similarity of multiple intuitionistic fuzzy sets (IFSs). In the present paper, this IFDivM is examined and applied to multiple examples. It is found that some extant IFDivMs hardly satisfy the axiomatic definition, and in a few cases even unable to show divergence of trivial IFSs. To address these inconsistencies, a new IFDivM based on Jensen-Shannon divergence is proposed, free from these problems. The effectiveness of the proposed IFDivM is tested on several critical cases, and precise analysis of its properties is performed. It is proved that the proposed IFDivM satisfies the axiomatic definition of IFDivMs. To illustrate the practical significance of the IFDivM, a novel intuitionistic fuzzy (IF) TODIM method, based on the proposed IFDivM, is developed, termed as GIF-TODIM method. Unlike the existing IF-TODIM methods, GIF-TODIM does not suffer from the revere ordering inconsistencies. The proposed GIF-TODIM method and the proposed IFDivM are applied to a real -world case study on supplier selection. A detailed comparative analysis is performed taking the TOPSIS method and other IFDivMs as baselines. The role of attitude on the final choice is analyzed in great detail. It is found that the proposed GIF-TODIM method is indeed useful, effective, and superior to the counterpart methods, when it comes to real -world situations. Concomitantly, in the present work, it is also revealed that the TOPSIS method based on the 2-D Hamming distance is a special form of the proposed GIFTODIM method, when decision -makers have the same attitude towards losses and gains. Thus, an interesting relationship between TOPSIS and TODIM is identified under the intuitionistic fuzzy environment, which is bound to propel significant research in the area of decision making under uncertain conditions. As a whole, the article offers comprehensive analyses of IFDivMs and the TODIM method under the intuitionistic fuzzy environment.en_US
dc.description.sponsorshipNatural Science Foundation of Sichuan Province [2022NSFSC1821]; National Natural Science Foundation of China [12261018]; Key Natural Science Foundation of Universities in Guangdong Province [2019KZDXM027]; Universities Key Laboratory of Mathematical Modeling and Data Mining in Guizhou Province [2023013]en_US
dc.description.sponsorshipThis work was supported by the Natural Science Foundation of Sichuan Province (No. 2022NSFSC1821) , the National Natural Science Foundation of China (No. 12261018) , the Key Natural Science Foundation of Universities in Guangdong Province (No. 2019KZDXM027) , and the Universities Key Laboratory of Mathematical Modeling and Data Mining in Guizhou Province (No. 2023013) .en_US
dc.identifier.doi10.1016/j.eswa.2023.121554
dc.identifier.issn0957-4174
dc.identifier.issn1873-6793
dc.identifier.scopus2-s2.0-85171368141en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org10.1016/j.eswa.2023.121554
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5290
dc.identifier.volume237en_US
dc.identifier.wosWOS:001169694600001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofExpert Systems With Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectIntuitionistic Fuzzy Seten_US
dc.subjectJensen-Shannon Divergenceen_US
dc.subjectDivergence Measureen_US
dc.subjectTodimen_US
dc.subjectTopsisen_US
dc.subjectMulti-Attribute Group Decision Makingen_US
dc.subject(Magdm)en_US
dc.titleGeneralized TODIM method based on symmetric intuitionistic fuzzy Jensen-Shannon divergenceen_US
dc.typeArticleen_US

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