| 闭模糊集构成凸模糊集的充要条件 |
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| 引用本文： | 王贵君 李晓萍. 闭模糊集构成凸模糊集的充要条件[J]. 模糊系统与数学, 1998, 12(4): 85-88 |
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| 作者姓名： | 王贵君 李晓萍 |
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| 作者单位： | 通化师范学院数学系!通化，134002 |
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| 基金项目： | 吉林省教委高校青年科研基金!9784 |
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| 摘 要： | 本文通过引入弱拟凸模糊集的概念，针对欧几里空间上的闭模糊集，给出了它构成凸模糊集的一个充要条件，从而丰富了凸模糊集的理论及其应用。
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| 关 键 词： | 凸模糊集 闭模糊集 弱拟凸模糊集 充要条件 |
A Sufficient and Necessary Condition of the Close Fuzzy Sets Constituting the convex Fuzzy Sets |
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| Wang Guijun, Li Xiaoping. A Sufficient and Necessary Condition of the Close Fuzzy Sets Constituting the convex Fuzzy Sets[J]. Fuzzy Systems and Mathematics, 1998, 12(4): 85-88 |
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| Authors: | Wang Guijun Li Xiaoping |
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| Abstract: | In this paper,a sufficient and necessary condition of the close fuzzy sets on Euclideanspace Rn constituting the convex fuzzy sets is given by introducing the concept of the weaklyquasi-convex fuzzy set. Consequently,the theory and applications of the convex fuzzy setsare enriched. |
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| Keywords: | Inner straight line Convex fuzzy set Close fuzzy set Weakly quasi-convexfuzzy set |
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