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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
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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.
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)
关键词 模糊关系方程 max—rain模糊关系方程 Tsukamoto法 fuzzy relation equation max-rain fuzzy relation equation Tsukamoto method
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