模糊值函数序列的一致可积性

模糊值函数序列的一致可积性

李艳红

辽东学院师范学院数学系, 辽宁丹东 118003

收稿日期:2008-09-18 修回日期:1900-01-01 出版日期:2009-01-24 发布日期:2010-04-15
通讯作者: 李艳红

Uniform integrability of sequences of fuzzy valued functions

LI Yanhong

Department of Mathematics, Teacher’s College,Easten Liaoning University, Dandong 118003, Liaoning, China

Received:2008-09-18 Revised:1900-01-01 Online:2009-01-24 Published:2010-04-15
Contact: LI Yanhong

摘要/Abstract

关键词: 拟乘法算子, 模糊值函数

Abstract: By the introduction of a new multiplying 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 uniformly boundedness of the their fuzzy valued integrals were studied.

Key words: pseudomultiplication operator, fuzzy valued functions, fuzzy valued integrals, uniform integrability, uniform boundedness

中图分类号:

O159

李艳红. 模糊值函数序列的一致可积性[J]. J4, 2009, 44(1): 74-77 .

LI Yanhong. Uniform integrability of sequences of fuzzy valued functions[J]. J4, 2009, 44(1): 74-77 .

参考文献

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