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

Serkan Onar (), Erdogan Mehmet Özkan (), Bayram Ali Ersoy () and Kostaq Hila
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Serkan Onar: Department of Mathematical Engineering, Yildiz Technical University, DavutpaÅŸa-Istanbul, Turkey
Erdogan Mehmet Özkan: Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, 34220 Istanbul, Turkey
Bayram Ali Ersoy: Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, 34220 Istanbul, Turkey
Kostaq Hila: Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana, Albania

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 01, 87-104

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

Keywords: 2-absorbing intuitionistic fuzzy ideals; 2-absorbing δ-primary intuitionistic fuzzy ideals (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500011

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