| 凸模糊映射的共轭映射 |
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| 引用本文： | 张成,袁学海.凸模糊映射的共轭映射[J].数学研究及应用,2007,27(4):839-844. |
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| 作者姓名： | 张成 袁学海 |
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| 作者单位： | 1. 大连大学信息工程学院,辽宁,大连,116622
2. 大连理工大学电子与信息工程学院,辽宁,大连,116024 |
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| 基金项目： | 辽宁省科技计划;大连大学博士基金 |
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| 摘 要： | 本文在Goetschel和Voxman所建立的拓扑向量空间中引入了反模糊数的概念,并建立了反模糊数空间,讨论了有关的基本性质.在此基础上,引入了凸模糊映射的共轭映射的定义,并证明了凸模糊映射的共轭集合和共轭映射都是凸的.
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| 关 键 词： | 模糊数 反模糊数 凸模糊映射 共轭映射. |
| 文章编号： | 1000-341X（2007）04-0839-06 |
| 收稿时间： | 3/7/2005 12:00:00 AM |
| 修稿时间： | 2005-03-07 |
Conjugate Mapping of Convex Fuzzy Mapping |
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| ZHANG Cheng and YUAN Xue-hai.Conjugate Mapping of Convex Fuzzy Mapping[J].Journal of Mathematical Research with Applications,2007,27(4):839-844. |
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| Authors: | ZHANG Cheng and YUAN Xue-hai |
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| Institution: | College of Information Engineering, Dalian University, Liaoning 116622, China;School of Electr. \& Inf. Eng., Dalian University of Technology, Liaoning 116024, China |
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| Abstract: | In this paper,the notion of anti-fuzzy number is introduced in the topological vector space constructed by Goetschel and Voxman,anti-fuzzy number space is established,and some basic properties are discussed.Based on the above discussion,the definition of conjugate mapping of convex fuzzy mapping,and the convexities of conjugate set and conjugate mapping of convex fuzzy mapping are investigated. |
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| Keywords: | fuzzy numbers anti-fuzzy number convex fuzzy mappings conjugate mapping |
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