| 广义模糊数值Choquet积分的伪自连续及其遗传性 |
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| 引用本文： | 王贵君,李晓萍.广义模糊数值Choquet积分的伪自连续及其遗传性[J].系统科学与数学,2006,26(4):426-432. |
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| 作者姓名： | 王贵君 李晓萍 |
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| 作者单位： | 1. 天津师范大学数学科学学院,天津,300387
2. 天津师范大学管理学院,天津,300387 |
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| 基金项目： | 国家自然科学基金项目(70571056)，天津师范大学引进人才科研启动基金(5RL016)资助课题 |
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| 摘 要： | 在广义模糊测度空间上,针对已经给出的广义模糊数值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,研究当模糊测度满足伪自连续、伪一致自连续性时,这种模糊数值Choquet积分所保持的一些遗传性．
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| 关 键 词： | 伪上(下)自连续 伪一致上(下)自连续 广义模糊数值Choquet积分 |
| 修稿时间： | 2004年5月24日 |
Pseudo-autocontinuity and Heredity of Generalized Fuzzy Number-valued Choquet Integrals |
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| Wang Guijun,Li Xiaoping.Pseudo-autocontinuity and Heredity of Generalized Fuzzy Number-valued Choquet Integrals[J].Journal of Systems Science and Mathematical Sciences,2006,26(4):426-432. |
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| Authors: | Wang Guijun Li Xiaoping |
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| Institution: | (1)School of Mathematics Science, Tianjin Normal University, Tianjin 300384;(2)School of Management, Tianjin Normal University,Tianjin 300384 |
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| Abstract: | In this paper, on the generalized fuzzy measure space, for the given generalized fuzzy number-valued Choquet integrals, we regard wholly this kind of integrals as a set function taking the value of fuzzy numbers on the measurable spaces, and study some of its heredity kept by this kind of fuzzy number-valued integrals when the fuzzy measure satisfies pseudo-autocontinuity and pseudo-uniform autocontinuity. |
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| Keywords: | Pseudo-autocontinuity(from above and from below) pseudo-uniform autocontinuity(from above and from below) generalized fuzzy number-valued Choquet integrals |
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