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The fuzzy bargaining set of cooperative game with fuzzy coalition

Published: 01 January 2017 Publication History

Abstract

In this paper, the fuzzy bargaining set of cooperative game with fuzzy coalition is proposed, which can be regarded as the generalization of crisp bargaining set. The fuzzy bargaining set is based on the assumption that the total worth of a fuzzy coalition will be allocated to the players whose participation rate is larger than zero. Because fuzzy core had been proposed as a kind of solution for the fuzzy games, the relationship between fuzzy bargaining set and fuzzy core is also showed. Surprisingly, the relationship between fuzzy bargaining set and fuzzy core does coincide as in the classical case. The property of fuzzy bargaining set is also analyzed, such as the existence condition of counter-objection.

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Information & Contributors

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Published In

cover image Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology  Volume 33, Issue 3
2017
623 pages

Publisher

IOS Press

Netherlands

Publication History

Published: 01 January 2017

Author Tags

  1. Cooperative game
  2. fuzzy
  3. coalition
  4. bargaining set
  5. core

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