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A simplified expression of share functions for cooperative games with fuzzy coalitions

In: Tatra Mountains Mathematical Publications, vol. 69, no. 2
Rajib Biswakarma - Surajit Borkotokey - Radko Mesiar

Details:

Year, pages: 2017, 19 - 34
Keywords:
fuzzy cooperative game, Shapley function, Banzhaf function, Share function, Shapley Share function, Banzhaf Share function, Choquet integral
About article:
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.
How to cite:
ISO 690:
Biswakarma, R., Borkotokey, S., Mesiar, R. 2017. A simplified expression of share functions for cooperative games with fuzzy coalitions. In Tatra Mountains Mathematical Publications, vol. 69, no.2, pp. 19-34. 1210-3195.

APA:
Biswakarma, R., Borkotokey, S., Mesiar, R. (2017). A simplified expression of share functions for cooperative games with fuzzy coalitions. Tatra Mountains Mathematical Publications, 69(2), 19-34. 1210-3195.