T-模糊值积分序列的收敛性  

Convergence of Sequences of the T-fuzzy Valued Integrals

作　　者：李艳红[1] 

机构地区：[1]辽东学院师范学院数学系,辽宁丹东118003

出　　处：《四川师范大学学报（自然科学版）》2009年第3期311-314,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(70571056)资助项目

摘　　要：通过引入广义三角模及其运算,在模糊测度空间上针对非负可测模糊值函数定义了T-模糊值积分,进而采用构造序列的方法讨论了这种T-模糊值积分序列的收敛性,最后获得了这种积分的模糊化的Levi’s定理,从而为模糊积分理论的进一步发展及其应用丰富了内容.In this paper, by introducing the concept of generalized triangle norm and its operation, the concept of T-fuzzy valued integral is defined for non-negative measurable fuzzy valued functions in fuzzy measure spaces. The convergence of sequences of T-fuzzy valued integral is inverstigated by constructing sequences. Finally the fuzzy form of Levi＇ s theorem for the integral sequences is ob- tained. The results obtained in this paper enrich the application of fuzzy integrals theory.

关 键 词：广义三角模 可测模糊值函数 T-模糊值积分 Levi’s定理 

分 类 号：O159[理学—数学]