<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Published Online: Mar 23, 2018

Page range: 19 - 34

Received: Apr 14, 2017

DOI: https://doi.org/10.1515/tmmp-2017-0011

Keywords
fuzzy cooperative game, Shapley function, Banzhaf function, Share function, Shapley Share function, Banzhaf Share function, Choquet integral

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Mar 23, 2018

Page range: 19 - 34

Received: Apr 14, 2017

DOI: https://doi.org/10.1515/tmmp-2017-0011

Keywordsfuzzy cooperative game, Shapley function, Banzhaf function, Share function, Shapley Share function, Banzhaf Share function, Choquet integral

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
fuzzy cooperative game, Shapley function, Banzhaf function, Share function, Shapley Share function, Banzhaf Share function, Choquet integral