模糊化的Riesz定理和Lebesgue定理  

Fuzzy form Riesz theorem and Lebesgue theorem

作　　者：王贵君[1] 赵纬经[1] 

机构地区：[1]天津师范大学数学科学学院,天津300384

出　　处：《辽宁师范大学学报（自然科学版）》2007年第1期12-14,共3页Journal of Liaoning Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(70571056);天津市高等学校科技发展基金资助项目(20031410)

摘　　要：在一般模糊测度空间上,针对可测模糊值函数序列给出了依模糊测度收敛和几乎处处收敛的概念,并在此基础上,进一步研究了模糊值函数序列的这两种收敛的蕴涵关系,从而获得了所谓模糊化的Riesz定理和Lebesgue定理.We introduce the concepts of the convergence in fuzzy measures and the almost everywhere convergence for the sequence of measurable fuzzy valued functions in the general fuzzy measure space in this paper. Consequently, we study the relationship between two kinds of convergences of them, and the fuzzy form Riesz Theorem and Lebesgue Theorem were obtained.

关 键 词：模糊测度 模糊值函数序列 依模糊测度收敛 几乎处处收敛 

分 类 号：O159[理学—数学]