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

Kausar N., Munir M., Agarwal P., Kalaiarasi K.

THAI JOURNAL OF MATHEMATICS, cilt.20, sa.2, ss.653-667, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2022
  • Dergi Adı: THAI JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.653-667
  • Anahtar Kelimeler: Fuzzy sets, anti fuzzy AG-subgroupoids, anti fuzzy left (resp. right) interior ideals, left (resp. right) weakly, intra-(2, 2) regular ordered AG-groupoids
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Fuzzy and anti fuzzy ideals in ordered AG-groupoid are the modern tool for handling uncertainty in many decisions making problems. The purpose of this paper is to investigate, the characterizations 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 examined for the newly introduced fuzzy algebra. The results presented are justified by providing examples of well-defined and well-established AG-groupoid.