广义模糊值Choquet积分的强序连续与伪S性

广义模糊值Choquet积分的强序连续与伪S性

李艳红¹, 王贵君²

1. 辽东学院师范学院数学系, 辽宁丹东 118000;2. 天津师范大学数学科学学院, 天津 300387

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 李艳红

Strongly order continuity and pseudo-S-property of generalized fuzzy valued Choquet integrals

LI Yan-hong¹, WANG Gui-jun²

1. Department of Mathematics, Teacher’s College of Easten Liaoning University, Dandong 118000, Liaoning, China；2. School of Mathematics Science, Tianjin Normal University, Tianjin 300387, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LI Yan-hong

摘要/Abstract

摘要： 在一般模糊测度空间上,针对给出的广义模糊值Choquet积分,将这种积分整体看成可测空间上取值于模糊数的集函数,进而研究了当模糊测度满足强序连续、伪S性时,这种模糊值Choquet积分所保持的遗传性质。

关键词: 模糊测度, 伪S性 , 强序连续, μ-可积, 广义模糊值Choquet积分

Abstract: In general fuzzy measure spaces, aimed at giving generalized fuzzy valued Choquet integrals, these kind of integrals were completely regarded as a set function taken fuzzy numbers in measurable spaces. Then, when the fuzzy measure satisfied the strongly order continuity and pseudo-S-property, the heredity of the fuzzy valued Choquet integrals was researched.

Key words: pseudo-S-property , strongly order continuity, μ-integrable, generalized fuzzy valued Choquet integrals, fuzzy measures

中图分类号:

O159

李艳红,王贵君 . 广义模糊值Choquet积分的强序连续与伪S性[J]. J4, 2008, 43(4): 76-80 .

LI Yan-hong,WANG Gui-jun . Strongly order continuity and pseudo-S-property of generalized fuzzy valued Choquet integrals[J]. J4, 2008, 43(4): 76-80 .

参考文献

相关文章 5

[1]	巩增泰,寇旭阳. 集值函数关于模糊测度Choquet积分的表示和积分原函数性质[J]. 山东大学学报（理学版）, 2017, 52(8): 1-9.
[2]	张以欣,王贵君*,周立群. 集值模糊测度空间上的Egoroff定理[J]. J4, 2010, 45(5): 69-73.
[3]	巩增泰,谢婷. 模糊测度的广义可加性、转化定理和可加性估计[J]. J4, 2010, 45(10): 53-60.
[4]	李艳红. 模糊值函数序列的广义Egoroff定理[J]. J4, 2009, 44(4): 88-91 .
[5]	章玲,周德群 . λ模糊测度及其Mbius变换和关联系数间关系的推导[J]. J4, 2007, 42(7): 33-37 .

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