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Proper cores and dominance cores of fuzzy games

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Abstract

Many kinds of proper cores and dominance cores of fuzzy games are proposed in this paper. We also consider two similar concepts of payoff of a fuzzy coalition that are called the true payoff and quasi-payoff. The different concepts of proper cores and dominance cores will be proposed based on the true payoff and quasi-payoff of a fuzzy coalition. Some mild sufficient conditions are provided in this paper to guarantee the equalities of different proper cores and dominance cores.

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Authors and Affiliations

  1. Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 802, Taiwan

    Hsien-Chung Wu

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  1. Hsien-Chung Wu
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Correspondence to Hsien-Chung Wu.

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Wu, HC. Proper cores and dominance cores of fuzzy games. Fuzzy Optim Decis Making 11, 47–72 (2012). https://doi.org/10.1007/s10700-011-9116-3

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  • DOI: https://doi.org/10.1007/s10700-011-9116-3

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