The Characterization of Fuzzy and Anti Fuzzy Ideals in AG-groupoid

Nasreen Kausar, Muhammad Munir, Praveen Agarwal, Kalaichelvan Kalaiarasi

Abstract

Fuzzy and anti fuzzy ideals in ordered AG-groupoid are the modern tool for handling uncer-tainty in many decisions making problems. The purpose of this paper is to investigate, the character-izations of different classes of non-associative ordered semigroups by using anti fuzzy left (resp. right)interior, weakly regular, (2; 2)-regular ideals. The algebraic properties of ideals in AG-groupoid are ex-amined for the newly introduced fuzzy algebra. The results presented are justified by providing examplesof well-defined and well-established AG-groupoid.