Algorithm and software for solving fuzzy relational equations in some BL-algebras

Abstract

We study fuzzy linear systems of equations when the composition is infrarr. Algebraic-logical approach and procedures for inverse problem resolution are proposed. They provide algorithm for solving fuzzy linear system of equations in Godel algebra, product (Goguen) algebra and Lukasiewicz algebra: when the system is consistent, its complete solution set is calculated. In case of inconsistency, the equations that can not be satisfied by the minimal solution are obtained.