Abstract
The aim of the paper is to explain new concepts of solutions for n-persons fuzzy games. Precisely, it contains new definitions for 'core' and 'Shapley value' in the case of the n-persons fuzzy games. The basic mathematical results contained in the paper are these which assert the consistency of the 'core' and of the 'Shapley value'. It is proved that the core (defined in the paper) is consistent for any n-persons fuzzy game and that the Shapley values exists and it is unique for any fuzzy game with proportional values.
| Original language | English |
|---|---|
| Pages (from-to) | 63-72 |
| Number of pages | 10 |
| Journal | Fuzzy Sets and Systems |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1980 |
Keywords
- Core for a n-persons fuzzy game
- Payoff function
- Shapley function
- Shapley value
- Stable set of payoff functions
- n-persons fuzzy game
ASJC Scopus subject areas
- Logic
- Artificial Intelligence