Extended results of ``Cores of fuzzy games and their convexity"

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, National Pingtung University, Taiwan

2 Graduate School of Technological and Vocational Education, National Yunlin University of Science and Technology, Yunlin 64002, Taiwan

Abstract

In the framework of fuzzy transferable-utility games, Wu \cite{wu1} derived the coincidences among of the proper core and the dominance core by providing some suitable conditions. By extending the results proposed by Wu \cite{wu1}, we provide alternative relations to show that the proper core coincides with the dominance core under some necessary and sufficient conditions.

Keywords

References

[1] J. P. Aubin, Coeur et valeur des jeux flousá paiements latéraux, Comptes Rendus de l’Académie des Sciences, 279 (1974), 891-894.
[2] J. P. Aubin, Cooperative fuzzy games, Mathematics of Operations Research, 6 (1981), 1-13.
[3] D. Butnariu, Fuzzy games: A description of the concept, Fuzzy Sets and Systems, 1 (1978), 181-192.
[4] Y. A. Hwang, Y. H. Liao, Max-consistency, complement-consistency, and the core of fuzzy games, Fuzzy Sets and Systems, 159 (2008), 152-163.
[5] Y. H. Liao, L. Y. Chung, Power allocation rules under fuzzy behavior and multicriteria situations, Iranian Journal of Fuzzy Systems, 17 (2020), 187-198.
[6] S. Tijs, R. Branzei, S. Ishihara, S. Muto, On cores and stable sets for fuzzy games, Fuzzy Sets and Systems, 146 (2004), 285-296.
[7] H. C. Wu, Cores of fuzzy games and their convexity, Fuzzy Sets and Systems, 198 (2012), 59-69.
[8] H. C. Wu, Proper cores and dominance cores of fuzzy games, Fuzzy Optimization and Decision Making, 11 (2012), 47-72.
Iranian Journal of Fuzzy Systems
Volume 19, Issue 2
March and April 2022
Pages 99-103

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