Pythagorean Fuzzy Level Subgroup Cut Set Structures

Authors

M. Teresa Nirmala

Research scholar, Reg.No.22123272092004, Department of Mathematics, Vivekananda college, Agasteeswaram, Kanyakumari-629 701, Tamilnadu (India)

D. Jayalakshmi

Associate Professor, Department of Mathematics, Vivekananda college, Agasteeswaram, Kanyakumari-629 701, Tamilnadu (India)

G. Subbiah

Associate Professor, Department of Mathematics, Sri K.G.S Arts college, Srivaikuntam-628 619, Tamilnadu (India)

Article Information

DOI: 10.51584/IJRIAS.2026.110200071

Subject Category: Mathematics

Volume/Issue: 11/2 | Page No: 829-839

Publication Timeline

Submitted: 2026-02-22

Accepted: 2026-02-28

Published: 2026-03-11

Abstract

In this paper, we study a new concept, (α,β)-level of pythagorean fuzzy subgroup which different from fuzzy groups, intuitionistic fuzzy group, (2,1)-fuzzy subgroups. Also we define a new kind of pythagorean fuzzy subgroup and its level cut sets. Finally, some properties of pythagorean fuzzy subgroups are studied.

Keywords

fuzzy set, intuitionistic fuzzy set, pythagorean fuzzy set

Downloads

References

1. Abbas. H.H, On Essential fuzzy sub modules and uniform fuzzy module, the first scientific conference the collage of education for pore sciences, 1(2012), 213-222. [Google Scholar] [Crossref]

2. Ali. S.M and Nada. K.A, Semi-Essential sub modules and semi-uniform modules , J.Kirkuk.U.Sci.Stu.,4(1)(2009), 48-57. [Google Scholar] [Crossref]

3. Ali. M.M, Prime fuzzy sub modules and primary fuzzy sub modules, Int.J. Com.Sci.Tech, 6(2)(2015), 212-216. [Google Scholar] [Crossref]

4. K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Set. Syst., 20(1)(1986), 87-96. [Google Scholar] [Crossref]

5. K. Balamurugan and R. Nagarajan, Fermatean fuzzy implicative P-ideal structure in KU-algebra’s, Neuro Quantology, Aug-2022, Vol.20, No. 10, 2587-2597. [Google Scholar] [Crossref]

6. S. Bhunia, G. Ghorai and Q. Xin, On the characterization of pythagorean fuzzy subgroups, AIMS Mathematics, 6 (2020), 962-978. [Google Scholar] [Crossref]

7. Hadi. I.M, On some special fuzzy ideal of fuzzy ring, Accepted in J. Soc. of Phy-Math(2000). [Google Scholar] [Crossref]

8. Hamil. M.A, Semi prime fuzzy modules, Ibn. Al-Haitham J. pure and applied science, 25(1) (2012), 1-10. [Google Scholar] [Crossref]

9. Ibrahim, Tareq M. Al-shami and O.G. Elbarbary, (3,2)-Fuzzy Sets and Their applications to topology and Optimal Choices, Computational Intelligence and Neuroscience, Volume 2021, Article ID 1272266, 14 pages. [Google Scholar] [Crossref]

10. Mashinichi. M.M and Zahedi. M, On L-fuzzy primary sub module, fuzzy sets and systems, 49(2)(1992). [Google Scholar] [Crossref]

11. N.P.Mukherjee and P.Bhattacharya, Fuzzy groups: some Group Theoretic Analogs. Information Sciences, vol.39 (1984). [Google Scholar] [Crossref]

12. N.P.Mukherjee and Bhattacharya, Fuzzy normal subgroups and fuzzy cosets, Information Sciences, vol.34 (1984). [Google Scholar] [Crossref]

13. Nagotia. X.V and Ralescu.D, Application of fuzzy sets and system analysis, Birkhauser, Basel, 1975. [Google Scholar] [Crossref]

14. T. Senapati and R.R. Yager, Fermatean fuzzy sets, Journal of Ambient Intelligence and Humanized computing, 11(2)(2020), 663-674. [Google Scholar] [Crossref]

15. I. Silambarasan, New operators for Fermatean fuzzy sets, Annals of Communications in Mathematics, 3(2)(2020), 116-131. [Google Scholar] [Crossref]

16. Z.S. Xu and R.R. Yager, “Some geometric aggregation operators based on intuitionistic fuzzy sets,” Int. J. Gen. syst., Vol.65, 2006, pp.417-433. [Google Scholar] [Crossref]

17. Z.S.Xu and R.R.Yager, Dynamic intuitionistic fuzzy multi-attributes decision making, Int. J. Approx. Reason, Vol.48, 2008, pp.246-262. [Google Scholar] [Crossref]

18. R.R.Yager, Pythagorean fuzzy subsets. In:2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013, 36286152. [Google Scholar] [Crossref]

19. R.R.Yager, Properties and applications of Pythagorean fuzzy sets, In: Angelov P., Sotirov S.(eds) Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing, (vol-332, pp.119-136), Springer, Cham. 2016, https://doi.org/10.1007/978-3-319-26302-1-9. [Google Scholar] [Crossref]

20. L.A. Zadeh, Fuzzy sets, Inform. Contr., 8(3) (1965), 338-353. [Google Scholar] [Crossref]

21. J. Zhan and Z. Tan, Intuitionistic M-fuzzy groups, Soochow J. Math.,0(1) (2004), 85-90. [Google Scholar] [Crossref]

Metrics

Views & Downloads

Similar Articles