| Fuzzy映射与扩张定理 |
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| 引用本文： | 何家儒.Fuzzy映射与扩张定理[J].四川师范大学学报(自然科学版),1991(4). |
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| 作者姓名： | 何家儒 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文讨论(点式)Fuzzy映射以及它的扩张问题.为此,首先引入(点式)Fuzzy映射的定义并讨论其构造和性质.然后证明在此框架下Fuzzy映射与Fuzzy复合映射的扩张定理.在此情况下,Zadeh的Fuzzy映射概念及其扩张原理就成为简单的特例.
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| 关 键 词： | 基本Fuzzy点 Fuzzy集 从属函数 截集 Fuzzy映射 扩张定理 |
THE FUZZY MAPPING AND EXTENSION THEOREMS |
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| He Jiaru.THE FUZZY MAPPING AND EXTENSION THEOREMS[J].Journal of Sichuan Normal University(Natural Science),1991(4). |
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| Authors: | He Jiaru |
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| Institution: | Department of mathenatics |
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| Abstract: | In this paper, the (pointwise) fuzzy mapping and its extension question are discussed. In order this, the definition of the (pointwise) fuzzy mapping is introduced, and its structure and properties are discussed. Moreover, extension principles for the fuzzy mapping and the fuzzy compound mapping under this frame are provided. In this case the concept of fuzzy mapping and its extension principle developed by Zaeh are simple and particular examples. |
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| Keywords: | elementry fuzzy point fuzzy set membership function cut set fuzzy mapping extension theorem |
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