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Liao, Y. H., Chung, L. Y.. (1401). Extended results of ``Cores of fuzzy games and their convexity". نشریه علمی دانشگاه سیستان و بلوچستان, 19(2), 99-103. doi: 10.22111/ijfs.2022.6790
Y. H. Liao; L. Y. Chung. "Extended results of ``Cores of fuzzy games and their convexity"". نشریه علمی دانشگاه سیستان و بلوچستان, 19, 2, 1401, 99-103. doi: 10.22111/ijfs.2022.6790
Liao, Y. H., Chung, L. Y.. (1401). 'Extended results of ``Cores of fuzzy games and their convexity"', نشریه علمی دانشگاه سیستان و بلوچستان, 19(2), pp. 99-103. doi: 10.22111/ijfs.2022.6790
Liao, Y. H., Chung, L. Y.. Extended results of ``Cores of fuzzy games and their convexity". نشریه علمی دانشگاه سیستان و بلوچستان, 1401; 19(2): 99-103. doi: 10.22111/ijfs.2022.6790

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

Iranian Journal of Fuzzy Systems
مقاله 8، دوره 19، شماره 2، خرداد و تیر 2022، صفحه 99-103    اصل مقاله (138.02 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6790
نویسندگان
Y. H. Liao1؛ L. Y. Chung* 2
1Department of Applied Mathematics, National Pingtung University, Taiwan
2Graduate School of Technological and Vocational Education, National Yunlin University of Science and Technology, Yunlin 64002, Taiwan
چکیده
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.
کلیدواژه‌ها
The proper core؛ the dominance core؛ coincidence
مراجع
[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.

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