More on the Vague Complex Subhypergroups

Year 2024, Volume: 5 Issue: 2, 94 - 122, 31.07.2024

Sanem Yavuz , Serkan Onar , Bayram Ali Ersoy

https://doi.org/10.54974/fcmathsci.1373528

Abstract

The concept of a vague complex set provides a more comprehensive perspective than that of a vague set. This article aims to investigate vague complex and anti-vague complex subhypergroups (Hv−subgroups), supported by various examples with the help of vague complex sets and hyperstructures. Moreover, we explore their properties and relationships with vague and anti-vague subhypergroups.

Keywords

Vague Complex Set, Vague Complex Subhypergroup, Anti-vague Complex Subhypergroup

References

• Al-Tahan M., Davvaz B., Complex fuzzy Hv−subgroups of an Hv−group, Iranian Journal of Fuzzy Systems, 17(3), 177-186, 2020.
• Corsini P., Leorenau V., Applications of Hyperstructures Theory, Advances in Mathematics, Kluwer Academic Publisher, 2003.
• Davvaz B., Polygroup Theory and Related Systems, World Scientific Publishing Company Pte. Ltd., 2013.
• Davvaz B., Fuzzy Hv−groups, Fuzzy Sets and Systems, 101(1), 191-195, 1999.
• Davvaz B., Cristea I., Fuzzy Algebraic Hyperstructures: An Introduction, Studies in Fuzziness and Soft Computing, 321, Springer, 2015.
• Gau W.L., Buehrer D.J., Vague sets, IEEE Transaction on Systems, 23(2), 610-614, 1993.
• Husban R.A., Salleh A.R., Complex vague relation, AIP Conference Proceedings, 1691(1), 040010, 2015
• Marty F., Sur une generalization de la notion de group, In 8th Congress Math. Scandenaves, 45-49, 1934.
• Rossenfeld A., Fuzzy groups, Journal of Mathematical Analysis and Applications, 35(3), 512-517, 1971.
• Ramot D., Friedman M., Langholz G., Kandel A., Complex fuzzy sets, IEEE Transaction of Fuzzy Systems, 11(4), 450-461, 2003.
• Ramot D., Milo R., Friedman M., Kandel A., Complex fuzzy logic, IEEE Transaction of Fuzzy Systems, 10(2), 171-186, 2002.
• Singh P.K., Complex vague set based concept lattice, Chaos, Solitons and Fractal, 96, 145-153, 2017.
• Vougiouklis T., The fundamental relation in hyperrings. The general hyperfield, Proceedings of the Fourth International Congress on Algebraic Hyperstructures and Applications, Greece, 203-211, 1991.
• Vougiouklis T., Hyperstructures and Their Representations, Aviani Editor, Hadronic Press, 1994.
• Vougiouklis T., A new class of hyperstructures, Journal of Combinatorial Information Sciences, 20, 229-235, 1995.
• Zadeh L.A., Fuzzy sets, Information and Control, 8(3), 338-353, 1965.