An Algorithm for Solving Linear Optimization Problems Subject to a System of Fuzzy Relational Inequalities with the Max-Einstein Composition

Two algorithms for solving linear optimization problems subject to a system of fuzzy relational inequalities (FRI) with the max-Einstein composition was proposed by Abbasi Molai [1]. However, it is too expensive to obtain the optimal solution by verifying a lot of quasi-minimal solutions. In this paper, some rules are proposed for reducing the size of problem and obtaining the optimal solution without verifying any quasi-minimal solutions to some problems. Numerical examples are presented to illustrate the efficiency of the proposed algorithm.