2-Absorbing delta-Primary Intuitionistic Fuzzy Ideals of Commutative Rings


Onar S., Özkan E. M. , Ersoy B. A. , Hila K.

NEW MATHEMATICS AND NATURAL COMPUTATION, 2022 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1142/s1793005723500011
  • Journal Name: NEW MATHEMATICS AND NATURAL COMPUTATION
  • Journal Indexes: Emerging Sources Citation Index, Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: 2-absorbing intuitionistic fuzzy ideals, 2-absorbing delta-primary intuitionistic fuzzy ideals, OPERATIONS

Abstract

In this paper, we study the primary intuitionistic fuzzy ideal, the intuitionistic fuzzy ideal expansion and delta-primary intuitionistic fuzzy ideal which assemble prime intuitionistic fuzzy ideals and primary intuitionistic fuzzy ideals. Some properties of them are investigated. Also, we scrutinize the relationships of delta-primary intuitionistic fuzzy ideal and delta-primary ideal of a commutative ring R. Moreover, we give a fundamental result about correspondence theorem for delta-primary intuitionistic fuzzy ideals. Further, we introduce 2-absorbing delta-primary intuitionistic fuzzy ideals which are the generalization of 2absorbing intuitionistic fuzzy ideals and 2-absorbing primary intuitionistic fuzzy ideals. Some properties of them are obtained.