| 广义模糊值Choquet积分的强序连续与伪S性 |
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| 引用本文： | 李艳红,王贵君.广义模糊值Choquet积分的强序连续与伪S性[J].山东大学学报(理学版),2008,43(4):76-80. |
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| 作者姓名： | 李艳红 王贵君 |
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| 作者单位： | 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 |
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| 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。
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| 关 键 词： | 模糊测度 广义模糊值Choquet积分 μ-可积 强序连续 伪S性 |
| 文章编号： | 1671-9352(2008)04-0076-05 |
| 修稿时间： | 2008年3月13日 |
Strongly order continuity and pseudo-S-property of generalized fuzzy valued Choquet integrals |
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| LI Yan-hong,WANG Gui-jun.Strongly order continuity and pseudo-S-property of generalized fuzzy valued Choquet integrals[J].Journal of Shandong University,2008,43(4):76-80. |
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| Authors: | LI Yan-hong WANG Gui-jun |
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| Institution: | 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 |
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| 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. |
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| Keywords: | fuzzy measures generalized fuzzy valued Choquet integrals μ-integrable strongly order continuity pseudo-S-property |
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