Intuitionistic fuzzy weakly prime ideals

Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JHSMS-6-0_007

تاریخ نمایه سازی: 16 بهمن 1402

Abstract:

In this study, the fundamental definitions and theorems regarding intuitionistic fuzzy sets and intuitionistic fuzzy ideals of commutative ring R with identity have been given as preliminaries. After the preliminaries, we introduce the notions of intuitionistic fuzzy weakly prime ideals, intuitionistic fuzzy partial weakly prime ideals, intuitionistic fuzzy weakly semiprime ideals of R. Also, we give some relations between intuitionistic fuzzy weakly prime ideals and weakly prime ideals of R.

Keywords:

Intuitionistic fuzzy weakly prime ideal , Intuitionistic fuzzy partial weakly prime ideal , Intuitionistic fuzzy weakly semiprime ideal

Authors

Tu˘gba Arkan

Department of Mathematics, Yildiz Technical University, P.O.Box ۳۴۲۲۰, Istanbul, Turkey

Serkan Onar

Department of Mathematics, Yildiz Technical University, P.O.Box ۳۴۲۲۰, Istanbul, Turkey

Deniz S¨onmez

Department of Mathematics, Yildiz Technical University, P.O.Box ۳۴۲۲۰, Istanbul, Turkey

Bayram Ersoy

Department of Mathematics, Yildiz Technical University, ۸۱۲۷۰ Istanbul, Turkey