A Simplified Expression of Share Functions for Cooperative Games with Fuzzy Coalitions

Biswakarma, Rajib; Borkotokey, Surajit; Mesiar, Radko

doi:10.1515/tmmp-2017-0011

Abstract

In this paper, we discuss the notion of Share functions for cooperative games with fuzzy coalitions or simply fuzzy cooperative games. We obtain the Share functions for some special classes of fuzzy games, namely the fuzzy games in proportional value form and the fuzzy games in Choquet integral form. The Shapley Share and Banzhaf Share functions for these classes are derived.

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A Simplified Expression of Share Functions for Cooperative Games with Fuzzy Coalitions

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