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

ONAR S. , ÖZKAN E. M. , ERSOY B. A. , Hila K.

New Mathematics and Natural Computation, 2022 (Refereed Journals of Other Institutions) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1142/s1793005723500011
  • Title of Journal : New Mathematics and Natural Computation
  • Keywords: 2-absorbing ? -primary intuitionistic fuzzy ideals, 2-absorbing intuitionistic fuzzy ideals

Abstract

© 2023 World Scientific Publishing Company.In this paper, we study the primary intuitionistic fuzzy ideal, the intuitionistic fuzzy ideal expansion and ?-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 ?-primary intuitionistic fuzzy ideal and ?-primary ideal of a commutative ring R. Moreover, we give a fundamental result about correspondence theorem for ?-primary intuitionistic fuzzy ideals. Further, we introduce 2-absorbing ?-primary intuitionistic fuzzy ideals which are the generalization of 2-absorbing intuitionistic fuzzy ideals and 2-absorbing primary intuitionistic fuzzy ideals. Some properties of them are obtained.