摘要
1992年,A.Billot首先研究了模糊对策以及模糊经济均衡,并且证明了模糊经济均衡的存在性定理.随后,相关的结果被推广到了各个方向.主要考虑了广义模糊抽象经济以及模糊定性对策并且分别证明了FC-空间上具有不可数代理人的广义模糊抽象经济的均衡存在性定理以及模糊定性对策的极大元存在性定理.作为应用,证明了FC-空间上的一些新的抽象经济的均衡存在性定理.这些结果改进并推广了近期相关文献中的某些重要结论.
In 1992, A. Billot first studied the fuzzy games and fuzzy economic equilibrium, and proved the existence theorem of the fuzzy general equilibrium. Then the result was generalized in many directions. In this paper, we consider the generalized abstract fuzzy economies and the qualitative fuzzy games. We prove some new existence theorems of equilibrium and maximal element for generalized abstract fuzzy economies with uncountable nuulber of agents and qualitative fuzzy games in FC-spaces. As applications, some new existence theorems of equilibrium for the abstract economies are given in FC-spaees. The results presented in this paper generalize some known results in the literature.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第6期832-836,共5页
Journal of Sichuan Normal University（Natural Science）
基金
四川省教育厅自然科学基金(08ZC033)资助项目
关键词
模糊对应
均衡点
广义抽象模糊经济
定性模糊对策
fuzzy mapping
equilibrium point
generalized abstract fuzzy economy
qualitative fuzzy game
