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International Journal of Neutrosophic Science
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Title

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

  Walter C. Toapanta 1 * ,   Jorge Lenín A. Espinoza 2 ,   Silvio M. Vivar 3 ,   Tania L. Vizcaíno Cárdenas 4

1  Universidad Regional Autónoma de los Andes (UNIANDES), Ecuador
    (ua.walterculque@uniandes.edu.ec)

2  Docente de la Universidad Técnica de Cotopaxi, Extensión Pujilí. Ecuador
    (ui.jorgeacosta@uniandes.edu.ec)

3  Docente de la Universidad Técnica de Cotopaxi, Extensión Pujilí. Ecuador
    (c.investigacionstd@uniandes.edu.ec)

4  Docente de la Universidad Técnica de Cotopaxi, Extensión Pujilí. Ecuador
    (tania.vizcaino@utc.edu.ec)


Doi   :   https://doi.org/10.54216/IJNS.220409

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

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.


Cite this Article as :
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MLA Walter C. Toapanta, Jorge Lenín A. Espinoza, Silvio M. Vivar, Tania L. Vizcaíno Cárdenas. "On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups." International Journal of Neutrosophic Science, Vol. 22, No. 4, 2023 ,PP. 106-110 (Doi   :  https://doi.org/10.54216/IJNS.220409)
APA Walter C. Toapanta, Jorge Lenín A. Espinoza, Silvio M. Vivar, Tania L. Vizcaíno Cárdenas. (2023). On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. Journal of International Journal of Neutrosophic Science, 22 ( 4 ), 106-110 (Doi   :  https://doi.org/10.54216/IJNS.220409)
Chicago Walter C. Toapanta, Jorge Lenín A. Espinoza, Silvio M. Vivar, Tania L. Vizcaíno Cárdenas. "On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups." Journal of International Journal of Neutrosophic Science, 22 no. 4 (2023): 106-110 (Doi   :  https://doi.org/10.54216/IJNS.220409)
Harvard Walter C. Toapanta, Jorge Lenín A. Espinoza, Silvio M. Vivar, Tania L. Vizcaíno Cárdenas. (2023). On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. Journal of International Journal of Neutrosophic Science, 22 ( 4 ), 106-110 (Doi   :  https://doi.org/10.54216/IJNS.220409)
Vancouver Walter C. Toapanta, Jorge Lenín A. Espinoza, Silvio M. Vivar, Tania L. Vizcaíno Cárdenas. On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 4 ): 106-110 (Doi   :  https://doi.org/10.54216/IJNS.220409)
IEEE Walter C. Toapanta, Jorge Lenín A. Espinoza, Silvio M. Vivar, Tania L. Vizcaíno Cárdenas, On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 4 , (2023) : 106-110 (Doi   :  https://doi.org/10.54216/IJNS.220409)