SOLVABILITY OF A SYSTEM OF FUZZY RELATION EQUATIONS: EASY-TO-CHECK CONDITIONS

摘要

The problem of solvability of a system of fuzzy relation equations with respect to unknown fuzzy relation is considered. A number of new criteria of the so called Mamdani relation to be a solution to the system is suggested. At the same time those criteria are sufficient conditions of a solvability of the system in general. A new, easy-to-check criterion of a solvability of the system with special fuzzy parameters is found.