On 1-Absorbing Fuzzy Ideals of Commutative Semirings

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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