关于模糊值函数序列的C-I平均收敛

王贵君;李晓萍

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (2) : 253-262.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (2) : 253-262. DOI: 10.12341/jssms10083
论文

关于模糊值函数序列的C-I平均收敛

    王贵君(1), 李晓萍(2)
作者信息 +

On the C-I Average Convergence for Sequence of Fuzzy ValuedFunctions

    WANG Guijun(1), LI Xiaoping(2)
Author information +
文章历史 +

摘要

一般模糊测度空间上, 利用模糊值Choquet积分定义首次给出了模糊值函数列的C-I平均收敛、C-I平
均基本等概念,并针对μ-可积模糊值函数列进一步研究了它的C-I平均收敛与依模糊测度收敛、C-I平均基本与
依模糊测度基本之间的蕴涵关系.

Abstract

On a general fuzzy measure space, by means of the definition
of the fuzzy valued Choquet integral, first, the concepts of the C-I average convergence
and the C-I average basis of the sequence of fuzzy valued functions are introduced. Then, for the sequence of the integrable fuzzy valued functions,
the realationships between the C-I average convergence and the convergence in fuzzy
measure, the C-I average basis and the basis in fuzzy measure are considered, respectively.

关键词

模糊测度 / C-I平均收敛 / 依模糊测度收敛 / C-I平均基本 / 依模糊测度基本.

Key words

Fuzzy measures / C-I average convergence / convergence in fuzzy measure / C-I average basis / basis in fuzzy measure.

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王贵君 , 李晓萍. 关于模糊值函数序列的C-I平均收敛. 系统科学与数学, 2009, 29(2): 253-262. https://doi.org/10.12341/jssms10083
WANG Guijun , LI Xiaoping. On the C-I Average Convergence for Sequence of Fuzzy ValuedFunctions. Journal of Systems Science and Mathematical Sciences, 2009, 29(2): 253-262 https://doi.org/10.12341/jssms10083
中图分类号： 28E10   
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