| 凸模糊映射的复合及线性性质 |
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| 引用本文： | 王丽媛,王海燕,高敬华.凸模糊映射的复合及线性性质[J].大连铁道学院学报,2004,25(4):11-13. |
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| 作者姓名： | 王丽媛 王海燕 高敬华 |
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| 作者单位： | 大连交通大学数理系，大连交通大学数理系，大连交通大学数理系 辽宁 大连 116028，辽宁 大连 116028，辽宁 大连 116028 |
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| 摘 要： | 利用了模糊数的定义、序关系和运算．将实数转化为模糊数后，建立了从模糊数全体到自身的凸模糊映射，并且给出了凸模糊映射单调性的概念；之后运用模糊数的性质结合凸分析的理论，探讨了此类映射的特点，得到凸模糊映射的复合及线性性质．
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| 关 键 词： | 模糊映射 模糊数 线性性质 序关系 实数 单调性 凸分析 凸模 复合 |
Monotonicity and Composition of Convex Fuzzy Mapping |
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| WANG Li-yuan,WANG Hai-yan,GAO Jing-hua.Monotonicity and Composition of Convex Fuzzy Mapping[J].Journal of Dalian Railway Institute,2004,25(4):11-13. |
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| Authors: | WANG Li-yuan WANG Hai-yan GAO Jing-hua |
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| Abstract: | Based on the concept of fuzzy numbers and some relative conclusions,a convex fuzzy mapping from all fuzzy numbers to themselves is established. The concept of the monotonous convex fuzzy mapping is define after converting real numbers into fuzzy numbers.Upon corresponding concepts and lemmas,the basic properties of the convex fuzzy mapping is discuss,and monotonicity and composition of the mapping corresponding to convex mapping of convex analysis are obtainedy. |
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