Pythagorean fuzzy Multigroups
Abstract
This study is motivated by the concepts of Pythagorean fuzzy groups and intuitionistic fuzzy multigroups.In this paper, the notion of Pythagorean fuzzy multigroups is presented,
and its many properties are examined to study the various algebraic structures of Pythagorean fuzzy multisets.
Then, we explore the intersection and union of Pythagorean fuzzy multigroups.
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References
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2. Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20(1), 87–96, (1986).
3. Bakhadach, I., Fakhraoui, M., Achik, S., Melliani, S., Pythagorean fuzzy sublattices and ideals, J. Fuzzy Extens. Appl.
5(3), 365–373, (2024).
4. Ejegwa, P. A., Pythagorean fuzzy multiset and its application to course placements, Open J. Discrete Appl. Math. 3(1),
55–74, (2020).
5. Ejegwa, P. A., Mathematical techniques to transform intuitionistic fuzzy multisets to fuzzy sets, J. Inform. Comput.
Sci. 10(2), 169–172, (2015).
6. Ejegwa, P. A., Some operations on intuitionistic fuzzy multisets, J. Fuzzy Math. 24(4), 761–768, (2016).
7. Miyamoto, S., Basic operations of fuzzy multisets, J. Japan Soc. Fuzzy Theory Syst. 8(4), 639–645, (1996).
8. Nazmul, S., Majumdar, P., Samanta, S. K., On multisets and multigroups, Ann. Fuzzy Math. Inform. 6(3), 643–656,
(2013).
9. Rosenfeld, A., Fuzzy groups, J. Math. Anal. Appl. 35, 512–517, (1971).
10. Shinoj, T. K., John, S. J., Intuitionistic fuzzy multigroups, Ann. Pure Appl. Math. 9(1), 133–143, (2015).
11. Shinoj, T. K., John, S. J., Intuitionistic fuzzy multisets and its application in medical diagnosis, World Acad. Sci. Eng.
Technol. 6(1), 1418–1421, (2012).
12. Shinoj, T. K., Baby, A., Sunil, J. J., On some algebraic structures of fuzzy multisets, Ann. Fuzzy Math. Inform. 9(1),
77–90, (2015).
13. Syropoulos, A., Mathematics of multisets, Springer-Verlag, Berlin Heidelberg, 347–358, (2001).
14. Talhaoui, A., Melliani, S., Bakhadach, I., Achik, S., Pythagorean fuzzy nil radical of Pythagorean fuzzy ideal, Bol. Soc.
Paran. Mat. 42, (2024).
15. Yager, R. R., Pythagorean fuzzy subsets, in Proc. 2013 Joint IFSA World Congr. NAFIPS Annu. Meet., 57–61, (2013).
16. Yager, R. R., On the theory of bags, Int. J. Gen. Syst. 13, 23–37, (1986).
17. Yager, R. R., Pythagorean membership grades in multicriteria decision making, Tech. Rep. MII 3301, Mach. Intell.
Inst., Iona Coll., New Rochelle, NY, (2013).
18. Zadeh, L. A., Fuzzy sets, Inform. Control 8, 338–353, (1965)
Published
2025-09-18
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