Matrix norm methods for zero-sum fuzzy matrix games with payoffs of triangular fuzzy numbers

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dc.authoridÖzkaya, Murat / 0000-0001-7241-4710
dc.contributor.authorİzgi, Burhaneddin
dc.contributor.authorKöçken, Hale Gonce
dc.contributor.authorÖzkaya, Murat
dc.date.accessioned2025-01-27T20:11:41Z
dc.date.available2025-01-27T20:11:41Z
dc.date.issued2024
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this paper, we mainly consider the solution of two -person zero -sum fuzzy matrix games with payoffs of triangular fuzzy numbers. Contrary to the literature, we focus on developing the methods to solve the game directly based on only the norms of the payoff matrix holistically, without solving a linear programming problem or handling sub -games created by taking the components of fuzzy numbers separately. For this purpose, we first present fuzzy versions of 1 -norm and infinity -norm with the help of a ranking function and develop the fuzzy matrix norm method to obtain an approximate solution of the zero -sum fuzzy matrix game. In addition to this approach, we provide the fuzzy extended matrix norm method as an enhanced version of the method, which involves the use of newly defined fuzzy matrix norms. Thus, we managed to avoid the complexity of the optimization process of the linear programming problem via the proposed matrix norm -based methods. Finally, we illustrate the implementation of the methods by considering several benchmark examples and a 3 x 3 fuzzy matrix game.
dc.description.sponsorshipIstanbul Technical University Scientific Research Projects Unit (BAP) [THD-2023-45279]
dc.description.sponsorshipThis study is supported by the Istanbul Technical University Scientific Research Projects Unit (BAP) within the scope of project no: THD-2023-45279. The authors would like to thank the anonymous referees and the editor for their valuable suggestions and comments that helped to improve the content of the article.
dc.identifier.doi10.1016/j.amc.2024.128874
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-85195220769
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.amc.2024.128874
dc.identifier.urihttps://hdl.handle.net/20.500.12428/20671
dc.identifier.volume479
dc.identifier.wosWOS:001251222800001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectFuzzy matrix game
dc.subjectTriangular fuzzy number
dc.subjectZero-sum game
dc.subjectMatrix norm method
dc.subjectGame theory
dc.titleMatrix norm methods for zero-sum fuzzy matrix games with payoffs of triangular fuzzy numbers
dc.typeArticle

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