Pythagorean fuzzy nil radical of Pythagorean fuzzy ideal
DOI:
https://doi.org/10.5269/bspm.65957Resumen
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.Referencias
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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
6. K. C Gupta, M.K. Kantroo ; The nil radical of a fuzzy ideal, Fuzzy Sets Syst. 59 (1993) 87-93.
7. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971) 512-517.
8. Wang-jin Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems 8 (1982) 133-139.
9. R. Yager, Pythagorean fuzzy subsets. In Proceedings of the 2013 Joint IFSA World Congress and NAFIPSAnnual Meeting (IFSA/NAFIPS), Edmonton, AB, Canada, 24–28 June 2013; pp. 57–61
10. R. Yager, A. M. Abbasov, Pythagorean membership grades, complex numbers and decision-making. Int. J. Intell. Syst. 28, 436–452 (2013)
11. L. A. Zadeh, Fuzzy sets, Information and control, Vol.8, 338-353 (1965).
12. X. Zhang, Z. Xu, Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets.Int. J. Intell. Syst. 2014,29, 1061–1078
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2024-05-21
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