| 广义模糊值Choquet积分的双零渐近可加性 |
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| 引用本文： | 郝娜,王贵君.广义模糊值Choquet积分的双零渐近可加性[J].四川师范大学学报(自然科学版),2007,30(1):62-65. |
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| 作者姓名： | 郝娜 王贵君 |
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| 作者单位： | 天津师范大学,数学科学学院,天津,300384 |
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| 摘 要： | 在一般模糊测度空间的任一子集上,对给定的μ-可积模糊值函数,建立所谓的广义模糊值Cho-quet积分,并将这种积分整体看成可测度空间上取值于模糊数(值)的集函数,进而讨论当模糊测度满足上(下)自连续性时,这种积分所对应的模糊值集函数将分别具有双零渐近、伪双零渐近可加性.
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| 关 键 词： | 模糊测度 上(下)自连续性 双零渐近可加 伪双零渐近可加 |
| 文章编号： | 1001-8395（2007）01-0062-04 |
| 收稿时间： | 2006-03-17 |
| 修稿时间： | 2006年3月17日 |
Double-null Asymptotic Additivity of Generalized Fuzzy Valued Choquet Integrals |
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| HAO Na,WANG Gui-jun.Double-null Asymptotic Additivity of Generalized Fuzzy Valued Choquet Integrals[J].Journal of Sichuan Normal University(Natural Science),2007,30(1):62-65. |
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| Authors: | HAO Na WANG Gui-jun |
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| Institution: | College of Mathematics Science, Tianjin Normal University, Tianfin 300384 |
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| Abstract: | On an arbitrary subset in a general fuzzy measure space, we establish the generalized fuzzy valued Choque integral for a given integrable fuzzy valued function. Regarding in global the integral of this kind as a set function taken fuzzy numbers on the measurable spaces. And then, we obtain that this kind of fuzzy valued set functions have double-null asymptotic additivity, pseudo-double-null asymptotic additivity when the fuzzy measures satisfy autocontinuity from above(below). |
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| Keywords: | Fuzzy measures Autocontinuity from above(below) Double-null asymptotic additivity Pseudo-double-null asymptotic additivity |
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