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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 22 • Issue 4 • PP: 106-110 • 2023

On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups

Walter C. Toapanta 1*
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,
Jorge Lenín A. Espinoza 2
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,
Silvio M. Vivar 2
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,
Tania L. Vizcaíno Cárdenas 2
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1Universidad Regional Autónoma de los Andes (UNIANDES), Ecuador
2Docente de la Universidad Técnica de Cotopaxi, Extensión Pujilí. Ecuador
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.220409
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: June 19, 2023 Revised: August 24, 2023 Accepted: October 25, 2023
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Abstract

In this paper, we have studied for the first time the concept of n-potent fuzzy groups and n-potent anti-fuzzy groups. Many related properties will be proved such as the intersection of n-potent fuzzy groups, the product of n-potent anti-fuzzy groups, and the factor groups formed by these structures.

Keywords

n-potent fuzzy group n-potent anti-fuzzy group intersection factor fuzzy subgroup

References

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[3] A. Rosenfeld: Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512 ¡ 517:

[4] W. M. Wu: Normal fuzzy subgroups, Fuzzy Math. 1 (1981), 21 ¡ 30:

[5] N. N. Morsi and S. E. B. Yehia: Fuzzy-quotient groups, Inform. Sci. 81 (1994), 177 ¡ 191:

[6] Gupta K.c and Sarma B.K., (1999), “nilpotent fuzzy groups” ,fuzzy set and systems , vol.101, pp.167-176

[7] Mohammad F. Marashdeh and Abdul Razak Salleh, The intuitionistic fuzzy normal subgroup, International Journal of Fuzzy Logic and Intelligent Systems 10 (2010), no. 1, 82-88.

[8] Hatip, A., "An Introduction To Weak Fuzzy Complex Numbers ", Galoitica Journal Of Mathematical Structures and Applications, Vol.3, 2023.

[9] Ali, R., " On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex

Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

[10] Von Shtawzen, O., " On A Novel Group Derived From A Generalization Of Integer Exponents and Open Problems", Galoitica journal Of Mathematical Structures and Applications, Vol 1, 2022.

[11] Hatip, A., " On Intuitionistic Fuzzy Subgroups of (M-N) Type and Their Algebraic Properties", Galoitica Journal Of Mathematical Structures and Applications, Vol.4, 2023.

[12] Aswad, M., Dalla, R., " Neutrosophic Divisor Point of A Straight Line Segment With A Given Ratio", Pure Mathematics For Computer Science, Vol. 2, 2023.

[13] Sankari, H., and Abobala, M., " On A New Criterion For The Solvability of Non-Simple Finite Groups and m-Abelian Solvability", Journal of Mathematics, Hindawi, 2021.

[14] Abobala, M., and Celik, M., "Under Solvable Groups as A Novel Generalization of Solvable Groups ", Galoitica Journal of Mathematical Structures and Applications, 2022.

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Toapanta, Walter C., Espinoza, Jorge Lenín A., Vivar, Silvio M., Cárdenas, Tania L. Vizcaíno. "On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups." International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 4, 2023, pp. 106-110. DOI: https://doi.org/10.54216/IJNS.220409
Toapanta, W., Espinoza, J., Vivar, S., Cárdenas, T. (2023). On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. International Journal of Neutrosophic Science, Volume 22(Issue 4), 106-110. DOI: https://doi.org/10.54216/IJNS.220409
Toapanta, Walter C., Espinoza, Jorge Lenín A., Vivar, Silvio M., Cárdenas, Tania L. Vizcaíno. "On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups." International Journal of Neutrosophic Science Volume 22, no. Issue 4 (2023): 106-110. DOI: https://doi.org/10.54216/IJNS.220409
Toapanta, W., Espinoza, J., Vivar, S., Cárdenas, T. (2023) 'On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups', International Journal of Neutrosophic Science, Volume 22(Issue 4), pp. 106-110. DOI: https://doi.org/10.54216/IJNS.220409
Toapanta W, Espinoza J, Vivar S, Cárdenas T. On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. International Journal of Neutrosophic Science. 2023;Volume 22(Issue 4):106-110. DOI: https://doi.org/10.54216/IJNS.220409
W. Toapanta, J. Espinoza, S. Vivar, T. Cárdenas, "On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups," International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 4, pp. 106-110, 2023. DOI: https://doi.org/10.54216/IJNS.220409
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