| 一种完备完全分配格上矩阵方程的求解方法 |
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| 引用本文： | 王忠山,陈贻源,刘正林. 一种完备完全分配格上矩阵方程的求解方法[J]. 模糊系统与数学, 1996, 0(2) |
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| 作者姓名： | 王忠山 陈贻源 刘正林 |
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| 作者单位： | 华中理工大学 |
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| 摘 要： | 模糊理论已经在决策、模式识别、故障诊断、过程控制等许多方面得到了广泛应用，在这些应用问题求解中往往要遇到求解模糊关系方程。本文从完备完全分配格的角度给出了一种求解模糊关系方程极小解的完备解法，并用计算机实现了提出的算法，为实际问题求解计算机化打下了基础。
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| 关 键 词： | 完备完全分配格；模糊关系方程；极小解；极小覆盖；去重 |
Resolution of Matrix Equation in a Class of Complete and Completely Distributive Lattices |
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| Wang Zhongshan. Resolution of Matrix Equation in a Class of Complete and Completely Distributive Lattices[J]. Fuzzy Systems and Mathematics, 1996, 0(2) |
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| Authors: | Wang Zhongshan |
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| Affiliation: | Wang Zhongshan (Department of Automatic Control Engineering)Chen Yiyuan (Department of Mathematics)Liu Zhenglin(Department of Automatic Control Engineering Huazhong University of Science and Technology) |
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| Abstract: | Fuzzy sets theory has been widely used in decisionmaking, patlern recognition, failure diagnosis and processing control. it's always essential to solve the fuzzy inverse equation in the application of fuzzy set theory. A method to get the complete least resolutions of the fuzzy inverse equation has been presented from the angle of complete and completely distributine lattices and the algorithm has been realized with language C on computer. |
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| Keywords: | Complete and completely distributive Latlices Fuzzy relation equation Least resolution Least cover Deoverlap |
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