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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 22 , Issue 4 , PP: 106-110, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

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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    [2] N. P. Mukherjee and P. Bhattacharya: Fuzzy groups: some group theoretic analogs, Inform. Sci. 39 (1986), 247 ¡ 268:

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    [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 :
    C., Walter. , Lenín, Jorge. , M., Silvio. , L., Tania. On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 106-110. DOI: https://doi.org/10.54216/IJNS.220409
    C., W. Lenín, J. M., S. L., T. (2023). On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. International Journal of Neutrosophic Science, (), 106-110. DOI: https://doi.org/10.54216/IJNS.220409
    C., Walter. Lenín, Jorge. M., Silvio. L., Tania. On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. International Journal of Neutrosophic Science , no. (2023): 106-110. DOI: https://doi.org/10.54216/IJNS.220409
    C., W. , Lenín, J. , M., S. , L., T. (2023) . On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. International Journal of Neutrosophic Science , () , 106-110 . DOI: https://doi.org/10.54216/IJNS.220409
    C. W. , Lenín J. , M. S. , L. T. [2023]. On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups. International Journal of Neutrosophic Science. (): 106-110. DOI: https://doi.org/10.54216/IJNS.220409
    C., W. Lenín, J. M., S. L., T. "On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups," International Journal of Neutrosophic Science, vol. , no. , pp. 106-110, 2023. DOI: https://doi.org/10.54216/IJNS.220409

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