In this paper, we make a study of the Owen value for cooperative fuzzy games with a coalition structure, which can be regarded as the generalization of crisp case. An axiomatic system of the Owen value for fuzzy games with a coalition structure is obtained by extending the corresponding characterizations given by Owen. The relationship between the Owen value and the fuzzy core of fuzzy games wi...

In this paper, a generalized form of the Banzhaf-Owen value for cooperative fuzzy games with a coalition structure is proposed. Its axiomatic system is given by extending crisp case. In order to better understand the Banzhaf-Owen value for fuzzy games with a coalition structure, we briefly introduce the Banzhaf-Owen values for two special kinds of fuzzy games with a coalition structure, and giv...

In a fuzzy cooperative game the players may choose to partially participate in a coalition. A fuzzy coalition consists of a group of participating players along with their participation level. The characteristic function of a fuzzy game specifies the worth of each such coalition. This paper introduces well-known properties of classical cooperative games to the theory of fuzzy games, and studies...

The deterministic coalition game theory is based on the presumption that all expected incomes of coalitions and individual players are exactly known even befor the bargaining process If we leave this presumption then we extend the original gamemodel into the fuzzy coalition game with vague i e fuzzy pay o s The vagueness of the pay o s leads to vagueness of some other concepts and prop erties l...

The fuzzy coalition game theory brings a more realistic tools for the mathematical modelling of the negotiation process and its results. In this paper we limit our attention to the fuzzy extension of the simple model of coalition games with side-payments, and in the frame of this model we study one of the elementary concepts of the coalition game theory, namely its "additivities", i.e., superad...

Agent-based computing is a new paradigm to build complex distributed computer systems. The article explores one of the key issues of agent-based computing the problem of interactions in multi-agent systems (MAS) in dynamic organizational context. Particularly, the article describes an approach to the problem of coalition forming based on fuzzy coalition games with associated core, as well as fu...

In this paper, the cooperative games with fuzzy coalitions were discussed. Several integral representations which described the fuzzy character function of the cooperative game were given, and the important solution –-the Shapley function was also investigated. For the cooperative game where the rate of participation of every player in a coalition is allowed to range within interval [0,1], the ...

The cooperative games with fuzzy coalitions in which some players act in a coalition only with a fraction of their total “power” (endeavor, investments, material, etc.) or in which they can distribute their “power” in more coalitions, are connected with some formal or interpretational problems. Some of these problems can be avoided if we interpret each fuzzy coalition as a fuzzy class of crisp ...

We introduce an efficient and dynamic resource allocation mechanism within the framework of a cooperative game with fuzzy coalitions. A fuzzy coalition in a resource allocation problem can be so defined that membership grades of the players in it, are proportional to the fractions of their total resources. We call any distribution of the resources possessed by the players, among a prescribed nu...

Myerson treated various situations of cooperation in the field of cooperative games and proposed the communication structure. In this paper, we define and characterize an allocation rule in terms of the position value, called an average spanning tree solution, for communication situations by introducing a concept of cooperation relationship which says that two players are deemed to possess this...