Mathematica Eterna
Open Access

Abstract

Fuzzy relation equations and Galois connections

Yong Chan Kim

In this paper, we study solutions of two types of fuzzy relation equations Ai → R = Bi and R → Ai = Bi in residuated lattices. We investigate the relations between Galois connections and solutions of fuzzy relation equations. Moreover, we give approximation solutions of two types of fuzzy relation equations.