On 1-Absorbing Fuzzy Ideals of Commutative Semirings

Authors : Doç. Dr. Erdoğan Mehmet Özkan, Serkan Onar, Ayten Ozkan, Ilayda Kaplan

Pages : 131-141

Doi:10.30931/jetas.1302897

View : 126 | Download : 123

Publication Date : 2023-12-31

Article Type : Research Paper

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