模糊值函数序列的一致可积性  

Uniform integrability of sequences of fuzzy valued functions

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：《山东大学学报（理学版）》2009年第1期74-77,90,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(70571056)

摘　　要：通过引入新乘法算子,针对模糊值函数定义了-模糊值积分,在此基础上给出了模糊值函数序列一致可积的充要条件,并研究了模糊值函数序列一致可积与其模糊值积分一致有界的蕴涵关系。By the introduction of a new mttltiplying operator, ×-fuzzy valued integrals were defined to aim at fuzzy valued functions. On this basis the necessary and sufficient conditions to the uniform integrability of sequences of fuzzy valued functions were given, and the implication relations between uniform integrability of sequences of fuzzy valued functions and the unifomaly beundedness of the their fuzzy valued integrals were studied.

关 键 词：拟乘法算子 模糊值函数 -模糊值积分 一致可积 一致有界 

分 类 号：O159[理学—数学]