On 1-Absorbing Fuzzy Ideals of Commutative Semirings

Doç. Dr. Erdoğan Mehmet Özkan; Serkan Onar; Ayten Ozkan; İlayda Kaplan

doi:10.30931/jetas.1302897

Research Article

On 1-Absorbing Fuzzy Ideals of Commutative Semirings

Year 2023, Volume: 8 Issue: 3, 131 - 141, 31.12.2023

Doç. Dr. Erdoğan Mehmet Özkan Serkan Onar Ayten Ozkan İlayda Kaplan

https://doi.org/10.30931/jetas.1302897

Abstract

In this study, the algebraic structure of 1-absorbing ideals is first examined and applied to fuzzy sets, along with an investigation into the relationships and algebraic properties between them. The contribution to this work's literature involves examining 1-absorbing fuzzy primary ideals. Features of 1-absorbing fuzzy primary ideals are explored, and it is demonstrated, for instance, that I is deemed a 1-absorbing fuzzy primary ideal of P if I is a fuzzy primary ideal of P. Additionally, I is considered a 2-absorbing fuzzy primary ideal of P if I is a 1-absorbing fuzzy primary ideal of P. Furthermore, these theorems are elucidated through specific examples.

Keywords

Fuzzy sets, Fuzzy ideals, 1-absorbing ideals, 1-absorbing fuzzy ideals, 1-absorbing fuzzy primary ideals

Supporting Institution

Research Fund of the Yildiz Technical University

Project Number

FYL-2022-5038

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