Some Results of the Fuzzy Relation Inequalities With Addition–Min Composition

In this paper, some results of the fuzzy relation inequalities with addition-min composition are given. First, the uniqueness of minimal solutions of this system is discussed. Then, the relation between this system and the corresponding equations' system is introduced. The definition of the critical set is presented, and an algorithm of the critical system is obtained. Finally, an algorithm for the fuzzy relation inequalities is presented.