求解具有max-t-norm合成算子的模糊关系不等式

An Algorithm for Solving Fuzzy Relation Inequality Systems with max-t-norm Composition

研究一类具有max-t-norm合成算子的模糊关系不等式,该问题是模糊关系方程以及区间值模糊关系方程的推广。通过分析其解集的特点,提出一个基于筛选原则求解该类问题的算法,并给出数值算例说明该算法的有效性。

This paper studies a class of fuzzy relation inequality systems with max-t-norm composition which is the generalization of fuzzy relation equations.According to the characterization of the solution set,an algorithm for solving the problems is given based on the deleting principles proposed in the paper.Some numerical examples are presented in the last section for illustrating the efficiency of the algorithm.