[1]马生全,李生刚.复模糊集值复模糊积分及其收敛性定理[J].江西师范大学学报(自然科学版),2015,(01):20-26.
　MA Shengquan,LI Shenggang.The Complex Fuzzy Set-Valued Complex Fuzzy Integral and Its Convergence Theorem[J].Journal of Jiangxi Normal University:Natural Science Edition,2015,(01):20-26.
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复模糊集值复模糊积分及其收敛性定理()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2015年01期
页码:
20-26
栏目:
出版日期:
2015-02-10

文章信息/Info

Title:
The Complex Fuzzy Set-Valued Complex Fuzzy Integral and Its Convergence Theorem
作者:
马生全；李生刚
1.陕西师范大学数学与信息科学学院,陕西 西安 710062; 2.海南师范大学信息科学技术学院,海南 海口 571158
Author(s):
MA Shengquan; LI Shenggang
关键词:
复模糊集值测度;  复模糊集值可测函数;  复模糊集值复模糊积分;  收敛性定理
Keywords:
complex fuzzy set-valued measure;  complex fuzzy set-valued measurable function;  complex fuzzy set-valued complex fuzzy integral;  convergence theorem
分类号:
O 159
文献标志码:
A
摘要:
首先介绍复模糊集值测度与复模糊集值可测函数的概念及复模糊集值可测函数的性质,以及基于复模糊集值复模糊测度的复模糊集值积分概念及其基本性质; 其次,研究了复模糊集值复模糊积分的收敛问题,得到了这种拓广到复模糊集值上的复模糊积分的单调收敛定理、法都定理、控制收敛定理等重要的收敛性定理.
Abstract:
The concepts of complex fuzzy set-valued complex fuzzy measure and the complex fuzzy set-valued measurable function,the concepts of complex fuzzy set-valued complex fuzzy integral and its basic properties are introduced.And then the convergence problem of complex fuzzy set-valued complex fuzzy integral are studied,it's some important convergence theorems are obtained,such as the monotone convergence theorem,the Fatou theorem,the control convergence theorem.

参考文献/References:

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备注/Memo

备注/Memo:
国家国际科技合作专项基金(2012DFA11270)
更新日期/Last Update: 1900-01-01