ANTI FUZZY BI-IDEALS ON ORDERED AG-GROUPOIDS

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KAUSAR N., Munir M., Gulzar M., Addis G. M., Anjum R.

Journal of the Indonesian Mathematical Society, vol.26, no.3, pp.299-318, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.22342/jims.26.3.862.299-318
  • Journal Name: Journal of the Indonesian Mathematical Society
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.299-318
  • Keywords: Anti fuzzy AG-subgroupoids, anti fuzzy left (resp. right, bi-, generalized bi-, (1,2)-) ideals
  • Yıldız Technical University Affiliated: No

Abstract

The purpose of this study is to initiate the concept of anti fuzzy left (resp. right, bi-, generalized bi-, (1,2)-) ideals in ordered AG-groupoids. We characterize the different classes of ordered AG-groupoids in terms of such ideals. Particularl, we prove that in regular (resp. left weakly regular) ordered AG-groupoids, the concept of anti fuzzy (right, two-sided) ideals coincides.