Proper cores and dominance cores of fuzzy games

  • Authors:
  • Hsien-Chung Wu

  • Affiliations:
  • Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan 802

  • Venue:
  • Fuzzy Optimization and Decision Making
  • Year:
  • 2012

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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.