The Axiomatic Characterization of the Grey Shapley Value

One of the most significant solution concepts in cooperative grey game theory is the grey Shapley value. This value is a fascinating one among the models and methods of operations research, and has been the subject of extensive study by other researchers. The objective of this study is to characteri...

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Bibliographic Details
Published inAxioms Vol. 14; no. 1; p. 51
Main Authors Gençtürk, Mehmet, Öztürk, Mahmut Sami, Palancı, Osman
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2025
Subjects
Axioms
characterization
Cooperation
cooperative grey games
Cost analysis
cost management
Decision making
Disaster recovery
Efficiency
Energy industry
Game theory
grey Shapley value
grey system theory
Production costs
Strategic planning
System theory
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Summary:One of the most significant solution concepts in cooperative grey game theory is the grey Shapley value. This value is a fascinating one among the models and methods of operations research, and has been the subject of extensive study by other researchers. The objective of this study is to characterize and redefine this value in cooperative games where coalition values are grey numbers. In this study, the grey Shapley value is characterized by the following axioms: G-gain loss, G-null player, and G-differential marginality. Finally, this study concludes with an investigation of some applications involving production costs. This study is based on an investigation of the costs incurred when milk producers collaborate.
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content type line 14
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms14010051