对求解max-min模糊关系方程Tsukamoto法的简化  

Simplified Tsukamoto Method of Solving Max-min Fuzzy Relation Equation

作　　者：吴小瑞[1] 宋振明[2] 

机构地区：[1]西南交通大学数学学院,四川成都610031 [2]西南交通大学智能开发中心,四川成都610031

出　　处：《洛阳理工学院学报（自然科学版）》2017年第2期79-82,93,共5页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金项目(61175055)

摘　　要：在求解max-min模糊关系方程Tsukamoto方法的基础上,首先对Y矩阵的每列元素进行集合的交运算,缩小解集的范围,再对W矩阵的每列元素进行集合的交运算,使W矩阵从m×n维转化为n×1维,减少一些无用的计算量,避免解集出现空集,或出现重复解,使计算更加简洁。Based on the Tsukamoto method of solving the fuzzy relation equations, firstly, the conjunctive operation for the each element of column of Y matrix is calculated, and the smaller scope of the solution set is obtained. Then, the Conjunctive operation for the each element of column of W matrix as well, m n dimension is transformed into n 1 dimension in W matrix to reduce the useless calculation and avoid appearing empty set, or duplicate solution. Thus, the solution of max-min fuzzy relation equation is simplified.

关 键 词：模糊关系方程 max—rain模糊关系方程 Tsukamoto法 

分 类 号：O29[理学—应用数学]