Fuzzy Algebraic Structures of Universal Algebras PDF

Keywords

fuzzy logic, sub algebras, universal algebra

Abstract

The aim of this paper is to give a systematic study of fuzzy sub algebras of a universal algebra. We introduce the notions of fuzzy subalgebra generated by a fuzzy set. and fuzzy congruences on an algebra. We also introduce a fuzzy congruence class and fuzzy quotient algebra and prove that fuzzy quotient algebras are isomorphic to a certain ordinary quotient algebra in a natural way