| 用模糊矩阵刻划模糊关系的方法研究 |
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| 引用本文： | 王志龙,王晓燕.用模糊矩阵刻划模糊关系的方法研究[J].兰州工业高等专科学校学报,2008,15(2):4-6. |
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| 作者姓名： | 王志龙 王晓燕 |
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| 作者单位： | 兰州工业高等专科学校,基础学科部,甘肃,兰州,730050 |
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| 摘 要： | 首先介绍了模糊矩阵的概念及其运算法则，分析了模糊矩阵运算与模糊关系运算之间的关系，得出它们的代数结构空间是同构的．接着给出了模糊逆矩阵的定义，研究了模糊逆矩阵的存在性定理及其计算方法，该方法将对求解模糊关系方程有帮助．
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| 关 键 词： | 模糊关系 模糊矩阵 模糊逆矩阵 同构 |
Method Study of Characterized Fuzzy Relation with Fuzzy Matrix |
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| WANG Zhi-long,WANG Xiao-yan.Method Study of Characterized Fuzzy Relation with Fuzzy Matrix[J].Journal of Lanzhou Higher Polytechnical College,2008,15(2):4-6. |
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| Authors: | WANG Zhi-long WANG Xiao-yan |
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| Affiliation: | WANG Zhi - long, WANG Xiao - yan (The Basic Courses Department of Lanzhou Polytechnic College, Lanzhou 730050, China) |
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| Abstract: | In this paper, the concept of the fuzzy matrix and algorithm of fuzzy matrix are introduced firstly. The relations between an operation of fuzzy matrix and an operation of fuzzy relation are analyzed. Then the conclusion is made that their space of the algebraic structure is isomorphic. The concept of the fuzzy inverse matrix is defined. Finally, the existence theorem for the fuzzy inverse matrix and their computational method are researched. And it is proved that the method is helpful to solve the fuzzy relation equation. |
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| Keywords: | the fuzzy relation the fuzzy matrix the inverse fuzzy matrix the graph isomorphism |
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