2-Absorbing δ-Primary Intuitionistic Fuzzy Ideals of Commutative Rings-Reference-Cited by-同舟云学术

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

Published:2022-03-01 Issue:01 Volume:19 Page:87-104
ISSN:1793-0057
Container-title:New Mathematics and Natural Computation
language:en
Short-container-title:New Math. and Nat. Computation

Author:

Onar Serkan¹,Özkan Erdogan Mehmet²,Ersoy Bayram Ali²,Hila Kostaq³

Affiliation:

1. Department of Mathematical Engineering, Yildiz Technical University, Davutpaşa-Istanbul, Turkey

2. Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, 34220 Istanbul, Turkey

3. Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana, Albania

Abstract

In this paper, we study the primary intuitionistic fuzzy ideal, the intuitionistic fuzzy ideal expansion and [Formula: see text]-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 [Formula: see text]-primary intuitionistic fuzzy ideal and [Formula: see text]-primary ideal of a commutative ring [Formula: see text]. Moreover, we give a fundamental result about correspondence theorem for [Formula: see text]-primary intuitionistic fuzzy ideals. Further, we introduce 2-absorbing [Formula: see text]-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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793005723500011

Reference29 articles.

1. On 2-absorbing ideals of commutative rings

2. Generalizations of 2-absorbing primaryideals of commutative rings