Fuzzy Core and Effective Coalitions
The concept of a core in a fuzzy extension of a coalition game with side-payments will be naturally based on fuzzy analogues of (3.5) and (3.6). A heuristic analysis of the investigated model leads to the conclusion that a core of a fuzzified game is to be fuzzified as well. The vagueness entering the game by means of uncertain expectations of coalitional profits is also reflected by the vagueness connected with outputs of the game including the concept of a core. In the deterministic game, the core C is a subset of R I. Hence, in the fuzzy extension it should also be a fuzzy subset of the same set, as shown, e.g., in .
KeywordsMembership Function Fuzzy Subset Coalition Structure Coalition Game Stable Coalition
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