in the present paper, we introduce and study a fuzzy vector equilibrium problem and prove some existence results with and without convexity assumptions by using some particular forms of results of textit{kim} and textit{lee} [w.k. kim and k.h. lee, generalized fuzzy games and fuzzy equilibria, fuzzy sets and systems, 122 (2001), 293-301] and textit{tarafdar} [e. tarafdar, fixed point theorems i...

By the end of last century there were four areas in mathematical theory positional differential games: non-coalitional games, cooperative, hierarchical and, finally, least-understood coalitional games. In their turn, games are divided into with transferable payoffs (games side payments when players can split profits course game) and non-transferable no such distributions for this or that reason...

In this article, two-person zero-sum games are investigated in the fuzzy environment. Several models constructed by Maeda in the symmetrical fuzzy environment are extended to the models in the asymmetric fuzzy environment. The existence of equilibrium strategies for these extended models is proposed in the asymmetric fuzzy environment. However, in some cases, Nash equilibrium strategies may not...

In this paper cores and stable sets for games with fuzzy coalitions are introduced and their relations studied. For convex fuzzy games it turns out that all cores coincide and that the core is the unique stable set. Also relations between cores and stable sets for fuzzy clan games are discussed. MSC: 90D12; 03E72

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 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...