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.
| Original language | English |
|---|---|
| Pages (from-to) | 1757-1765 |
| Number of pages | 9 |
| Journal | Journal of Intelligent and Fuzzy Systems |
| Volume | 33 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- Cooperative game
- bargaining set
- coalition
- core
- fuzzy