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

Rajib Biswakarma; Surajit Borkotokey; Radko Mesiar

doi:10.1515/tmmp-2017-0011

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

Tatra Mountains Mathematical Publications

Volume 69 (2017): Issue 1 (June 2017)

By: Rajib Biswakarma, Surajit Borkotokey and Radko Mesiar

Open Access

|Mar 2018

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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Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2017-0011 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 19 - 34

Submitted on: Apr 14, 2017

Published on: Mar 23, 2018

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

91A12,

62C86

Related subjects:

Mathematics,

General mathematics

© 2018 Rajib Biswakarma, Surajit Borkotokey, Radko Mesiar, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 69 (2017): Issue 1 (June 2017)