Fuzzy coalition formation among rational cooperative agents

Abstract

Formation of coalitions in multi-agent systems (MAS) enables the development of efficient organizations. In the article, a model of fuzzy cooperative game with coalitions is described. It extends the model of the fuzzy coalition game with associated core, introduced by M. Mareš by including in the fuzzy core (i) the fuzzy individual payments, and (ii) the binary values to form the structure of effective coalitions. The properties of the model are defined. The solution of the game is obtained using genetic algorithms. Experimental results for the MAS prototype from the domain of supply chains applying the proposed model with non-linear membership functions are discussed.