On an axiomatization of the grey Banzhaf value

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dc.contributor.authorEkici, Mustafa
dc.date.accessioned2025-01-27T20:57:57Z
dc.date.available2025-01-27T20:57:57Z
dc.date.issued2023
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe Banzhaf value with grey data is a solution concept in cooperative grey games that has been extensively studied in the context of operations research. The author aims to define the traits of the Banzhaf value in cooperative grey games, where the values of coalitions are depicted as grey numbers within intervals. The grey Banzhaf value is defined by several axioms, including the grey dummy player, grey van den Brink fairness, and grey superadditivity. By presenting these axioms, this investigation contributes novel insights to the axiomatic characterization of the grey Banzhaf value, offering a distinct perspective. Finally, the study concludes by presenting applications in cooperative grey game models, thereby enriching the understanding of this concept.
dc.identifier.doi10.3934/math.20231552
dc.identifier.endpage30418
dc.identifier.issn2473-6988
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85175969881
dc.identifier.scopusqualityQ1
dc.identifier.startpage30405
dc.identifier.urihttps://doi.org/10.3934/math.20231552
dc.identifier.urihttps://hdl.handle.net/20.500.12428/26562
dc.identifier.volume8
dc.identifier.wosWOS:001133603500108
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20250125
dc.subjectBanzhaf value
dc.subjectgrey calculus
dc.subjectcooperative grey games
dc.subjectShapley value
dc.subjectcharacterization
dc.titleOn an axiomatization of the grey Banzhaf value
dc.typeArticle

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