Розв`язання систем нечітких логічних рівнянь у задачах оберненого виведення

Abstract

In this paper the problem of inverse logical inference based on multivariable fuzzy relations is considered. The method for solving systems of fuzzy logical equations with the extended max-min composition and equivalent systems with the hierarchical max-min/minmax composition is proposed. The properties of the solution set for such systems are also proven. The problem of the solution set finding is formulated in the form of the optimization problem which is solved using the genetic algorithm. The proposed approach is illustrated by the example of technical diagnosis.