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The consistent value for fuzzy games: alternative axiomatizations

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Abstract

In the framework of fuzzy transferable-utility games, we propose alternative reduced games by considering the players and their activity levels simultaneously. Further, we characterize the consistent value by means of related consistency and different properties.

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Notes

  1. A cooperative game with fuzzy coalitions was introduced by Aubin (1974, 1981), Butnariu (1978).

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Authors and Affiliations

  1. Department of Applied Mathematics, National Pingtung University, Pingtung, 900, Taiwan

    Yu-Hsien Liao

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  1. Yu-Hsien Liao
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Correspondence to Yu-Hsien Liao.

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The author is grateful to the editor, the associate editor and the anonymous referee for very helpful suggestions and comments.

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Liao, YH. The consistent value for fuzzy games: alternative axiomatizations. Fuzzy Optim Decis Making 15, 129–138 (2016). https://doi.org/10.1007/s10700-015-9218-4

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  • DOI: https://doi.org/10.1007/s10700-015-9218-4

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