Evaluation of Agent Coalition is an important issue of complex control and decision-making, and fuzzy soft set is introduced for comprehensive evaluation of Agent Coalition. During the evaluation, personal evaluation index set of each expert is different, and there is overlapping among personal evaluation index sets of each expert, and then the fuzzy soft set is utilized to fuse information of ...

There exist some fuzziness and uncertainty in the process of ecological construction. The aim of this paper is to develop a direct and an effective simplified method for obtaining the cost-sharing scheme when some interested parties form a cooperative coalition to improve the ecological environment of Min River together. Firstly, we propose the solution concept of the least square prenucleolus ...

Fuzzy measures are monotonic set functions used for modelling strength of coalition of criteria in multicriteria decision-making. However, the practical application of fuzzy measures is difficult. The problem of fuzzy measures acquisition can be thought as an engineering problem. In our study, we have investigated the issue of fuzzy measures acquisition from an engineering perspective. Many met...

This paper discusses the problem of cost allocation when players have different levels optimism based on two-stage minimum spanning tree game, and uses Choquet integral to calculate characteristic function fuzzy optimistic coalition pessimistic coalition. It is proved that subgame clear game also a convex game. Finally, an example used prove has dynamical instability solution.

The fuzzy core was introduced by Aubin (1979) as the set of allocations of a pure exchange economy that are robust to blockings by all fuzzy coalitions. To interpret a fuzzy coalition, one thinks of an economy as being comprised of several types of agents, with each type being represented by a continuum of identical individuals. The fuzzy coalition then specifies the number (the mass) of the pa...

In this study, a general case of fuzzy games with a coalition structure is studied, where the player can participate in different unions. The expression of the Banzhaf value for this kind of fuzzy games is given, and its existence and uniqueness is shown. In order to better understand the Banzhaf value for this kind of fuzzy games, we discuss two special cases. The Banzhaf values on the associa...

In this paper we prove the existence and uniqueness of a solution concept for n-person games with fuzzy coalitions, which we call the Shapley mapping. The Shapley mapping, when it exists, associates to each fuzzy coalition in the game an allocation of the coalitional worth satisfying the efficiency, the symmetry, and the null-player conditions. It determines a “cumulative value” that is the “su...

We use in this paper the viability/capturability approach for studying the problem of characterizing the dynamic core of a dynamic cooperative game defined in a characteristic function form. In order to allow coalitions to evolve, we embed them in the set of fuzzy coalitions. Hence, we define the dynamic core as a set-valued map associating with each fuzzy coalition and each time the set of all...