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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Serkan Onar & Erdogan Mehmet Özkan & Bayram Ali Ersoy & Kostaq Hila, 2023. "2-Absorbing δ-Primary Intuitionistic Fuzzy Ideals of Commutative Rings," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 87-104, March.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:01:n:s1793005723500011
    DOI: 10.1142/S1793005723500011
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