An Improved Tsukamoto Method to Solve The Max-Min Fuzzy Relation Equations

摘要

In this paper we studied the max-min fuzzy relation equation A'X = B aiming at solving solution set faster than tsukamoto method. By the Tsukamoto method, we made some improvements-Firstly, matrix B satisfies the following inequalities: 1 ≥ b_1, ≥ b_2 ≥ ...≥ b_m ≥ 0 ; Secondly, if it exists a_(ij) < b_i in A, then we get a_(ij) = 0, so that we reduce the number of nonzero elements and also simplify the matrix A. In the process of transformation, we avoid the solutions as empty sets or repeat solutions, and reduce useless calculations and time, so it makes calculation simpler and faster than Tsukamoto method.