期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 22, 期 6, 页码 1489-1502出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2013.2297153
关键词
Banzhaf function; cooperative game; fuzzy coalition; fuzzy game; potential function
资金
- Funds for Creative Research Groups of China [71221061]
- projects of a major international cooperation Natural Science Foundation of China [71210003]
- National Natural Science Foundation of China [71271217, 71201089, 71371190, 70801012, 70801064]
- Program for New Century Excellent Talents in University for the Ministry of Education of China [NCET-12-0541]
- Fundamental Research Funds for the Central Universities [N130506001]
- Research Committee of Hong Kong Polytechnic University [G-UB97]
- Department of Industrial and Systems Engineering of the Hong Kong Polytechnic University [G-UB97]
In this paper, another important solution for fuzzy games, called the Banzhaf function, is investigated. First, a simplified expression for the Banzhaf function for games with fuzzy coalition is proposed. The relationship between this simplified expression and two kinds of particular Banzhaf functions are discussed in detail. Furthermore, in the framework of games with fuzzy coalitions, we give a definition of the potential function of fuzzy games, and prove that the marginal values of the potential function are the components of the Banzhaf function. Furthermore, a new axiomatic characterization of the Banzhaf function for games with fuzzy coalitions is provided.
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