| 集值映射在模糊序下的弱自连续性 |
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| 引用本文： | 潘文武,马勇.集值映射在模糊序下的弱自连续性[J].甘肃科学学报,2009,21(4):114-116. |
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| 作者姓名： | 潘文武 马勇 |
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| 作者单位： | 1. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070;四川理工学院,数学系,四川,自贡,643000
2. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 在m维正欧式空间的子集类上利用模糊序结构建立了序收敛的情况下,定义了集值模糊测度的弱自连续,讨论了它与集值模糊测度一致自连续的关系,得到了一些有趣的结果.
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| 关 键 词： | 弱自连续性 一致自连续 集值模糊测度 |
Weak Autocontinuity of Set-valued Mapping under a Fuzzy Order |
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| PAN Wen-wu,MA Yong.Weak Autocontinuity of Set-valued Mapping under a Fuzzy Order[J].Journal of Gansu Sciences,2009,21(4):114-116. |
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| Authors: | PAN Wen-wu MA Yong |
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| Institution: | PAN Wen-wu1,2,MA Yong1(1.College of Mathematics and Informational Science,Northwest Normal University,Lanzhou 730070,China,2.Department of Mathematics,Sichuan University of Science and Technology,Zigong 643000,China) |
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| Abstract: | By the concept of convergence with respect to the fuzzy order of set sequences in m dimensional positive Euclid space,the weak autocontinuity of set-valued mapping is defined,and weak autocontinuity and uniform autocontinuity for the set-valued fuzzy measure are discussed,and the relationships between them are studied.Then we have obtained some interesting conclusions. |
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| Keywords: | weak autocontinuity uniform autocontinuity set-valued fuzzy measure |
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