| V a g u e集的F u z z y集分解 |
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| 引用本文： | 彭,祖,明.V a g u e集的F u z z y集分解[J].西南农业大学学报,2012,34(4):118-122. |
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| 作者姓名： | 彭 祖 明 |
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| 作者单位： | 长江师范学院数学与计算机学院 |
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| 摘 要： | Vague集作为Fuzzy集的扩展,将其分解成Fuzzy集是一个值得探讨的问题.定义了Vague集的Fuzzy截集和数与Vague集的运算,在探讨了相应性质的基础上,给出了Vague集的Fuzzy集分解定理并进行了证明.
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| 关 键 词： | Vague集 Fuzzy集 截集 分解定理 |
T h eD e c o m p o s i t i o no fF u z z yS e t s f o rV a g u eS e t s |
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| PENG Zu-ming.T h eD e c o m p o s i t i o no fF u z z yS e t s f o rV a g u eS e t s[J].Journal of Southwest Agricultural University,2012,34(4):118-122. |
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| Authors: | PENG Zu-ming |
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| Institution: | PENG Zu-ming College of Mathematics and Computer Science,Yangtze Normal University,Fuling Chongqing 408100,China |
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| Abstract: | As vague sets are extension of fuzzy sets,the decomposition of a vague set into fuzzy sets is a problem worth exploring.In this paper,a new fuzzy cut-set of vague sets and an arithmetic about the number of vague sets are defined and,based on a discussion of their properties,the decomposition theorem of fuzzy sets of vague sets is given and proved. |
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| Keywords: | vague set fuzzy set cut-set decomposition theorem |
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