Abstract
This paper studies the cores and dominance cores of cooperative games endowed with fuzzy payoffs. When the payoffs of coalitions are imprecise, the fuzzy numbers can be used to model the fuzzy payoffs. Various concepts of cores and dominance cores are proposed based on different ordering schemes of fuzzy numbers. The inclusion and equality relations of cores and dominance cores are established for better understanding of fuzzy games. Similar relations of pre-cores and dominance pre-cores are also examined.
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