Abstract
In this work, we introduce the Pythagorean fuzzy nil radical of a Pythagorean fuzzy ideal of a commutative ring, we further provide the notion of Pythagorean fuzzy semiprime ideal, and we study some related properties. Finally, we give the relation between Pythagorean fuzzy semiprime ideals and the Pythagorean fuzzy nil radical of a commutative ring.
Publisher
Sociedade Paranaense de Matemática
Reference12 articles.
1. K. Atanassov. Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20 (1986) 87-96.
2. I. Bakhadach, S. Melliani, M. Oukessou and L.S. Chadli ; Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring. Notes on Intuitionistic Fuzzy SetsPrint ISSN 1310–4926, Online ISSN 2367–8283Vol. 22, 2016, No. 2, 59–63.
3. S. Bhunia, G. Ghorai, Q. XIN, and M. GULZAR, On the Algebraic Attributes of (, )− Pythagorean Fuzzy Subrings and (, )−Pythagorean Fuzzy Ideals of Rings. IEEEAccess, 2022, VOLUME 10.
4. S. Bhunia, G. Ghorai. On the characterization of Pythagorean fuzzy subgroups.AIMS Mathematics, 2021, Volume 6, Issue 1: 962-978.
5. H. Garg, A novel correlation coefficients between Pythagorean fuzzy sets and its applications to decision-making processes. Int. J. Intell. Syst. 2016,31, 1234–1252