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

Kausar N.

THAI JOURNAL OF MATHEMATICS, vol.20, no.2, pp.653-667, 2022 (ESCI)

  • Publication Type: Article / Article
  • Volume: 20 Issue: 2
  • Publication Date: 2022
  • Journal Name: THAI JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.653-667
  • Yıldız Technical University Affiliated: Yes

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.