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

Rajib Biswakarma

Rajib Biswakarma

Department of Mathematics Dibrugarh UniversityDibrugarh Assam, India
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Biswakarma, Rajib
, 
Surajit Borkotokey

Surajit Borkotokey

Department of Mathematics Dibrugarh UniversityDibrugarh Assam, India
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Borkotokey, Surajit
 and 
Radko Mesiar

Radko Mesiar

Slovak University of Technology Department of Mathematics Radlinského 11 SK–810 05Bratislava, Slovakia
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Mesiar, Radko
  
Mar 23, 2018
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Published Online: Mar 23, 2018
Page range: 19 - 34
Received: Apr 14, 2017
DOI: https://doi.org/10.1515/tmmp-2017-0011
Keywords
© 2018
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 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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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