| 广义模糊数值Choquet积分的自连续性与其结构特征的保持 |
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| 引用本文： | 王贵君,李晓萍.广义模糊数值Choquet积分的自连续性与其结构特征的保持[J].数学进展,2005,34(1):91-100. |
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| 作者姓名： | 王贵君 李晓萍 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300074 |
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| 基金项目： | ThisworkWaSsupportedbytheScienceDevelopmentFoundationofTianjinEducationCommission(No.20031410). |
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| 摘 要： | 在一般模糊测度空间的任一子集上，针对给定的μ-可积数模糊数值函数，定义所谓广义的模糊数值Choquet积分，并将这种积分整体看成可测空间上的模糊数值集函数．进而讨论并研究它的上(下)自连续性，逆上(下)自连续性，一致自连续性和一致逆自连续性等结构特征．
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| 关 键 词： | μ-可积模糊数值函数 广义模糊数值Choquet积分 自连续 遗自连续 一致（逆）自连续 |
Autocontinuity and Preservation of Structural Characteristics of Generalized Fuzzy Number-valued Choquet Integrals |
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| WANG Gui-jun,LI Xiao-ping.Autocontinuity and Preservation of Structural Characteristics of Generalized Fuzzy Number-valued Choquet Integrals[J].Advances in Mathematics,2005,34(1):91-100. |
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| Authors: | WANG Gui-jun LI Xiao-ping |
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| Abstract: | On an arbitrary subset in a general fuzzy measure space, we first define the generalized fuzzy number-valued Choquet integral for a given μ-integral fuzzy numbervalued function. Regarding these integrals as fuzzy number-valued set functions on a measurable space, we discuss their autocontinuity from above (below), converse-autocontinuity from above (below), uniform autocontinuity and uniform converse-autocontinuity etc. structural characteristics. |
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| Keywords: | μ-integrable fuzzy number-valued function generalized fuzzy number-valued Choquet integrals autocontinuity converse-autocontinuity uniform converse-autocontinuity |
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