| 凹凸模糊集在R^n上的性质 |
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| 引用本文： | 王丽媛,王海燕.凹凸模糊集在R^n上的性质[J].大连铁道学院学报,2010(2):89-90,103. |
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| 作者姓名： | 王丽媛 王海燕 |
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| 作者单位： | 大连交通大学理学院; |
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| 摘 要： | 利用凹凸模糊集的概念及凹凸模糊集在一维空间上的性质,定义了凹凸模糊集在n维空间上的单调性,运用分析学的方法将凹凸模糊集在R1上特征函数的性质推广到Rn上.
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| 关 键 词： | 凹凸模糊集 n维空间 单调函数 |
Property of Concavo-Convex Fuzzy Set in R~n |
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| WANG Li-yuan,WANG Hai-yan.Property of Concavo-Convex Fuzzy Set in R~n[J].Journal of Dalian Railway Institute,2010(2):89-90,103. |
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| Authors: | WANG Li-yuan WANG Hai-yan |
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| Institution: | WANG Li-yuan,WANG Hai-yan(School of Mathematics , Physics,Dalian Jiaotong University,Dalian 116028,China) |
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| Abstract: | Concavo-convex fuzzy set is conceived by combining the concepts of convex and concave fuzzy sets.Based on the concept of concavo-convex fuzzy set and its properties in one dimensional space,the monotonicity of the concavo-convex fuzzy set is defined.Upon corresponding concepts and lemmas,the already obtained properties are generalized in R1to Rn by analysis method. |
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| Keywords: | concavo-convex fuzzy set monotonically function n-dimensional space |
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