International Journal of Neutrosophic Science

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Volume 26 , Issue 1 , PP: 117-126, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

On fuzzy completely γ-irresolute and weakly completely γ-irresolute functions

Wadei Faris AL-Omeri 1 *

  • 1 Department of Mathematics, Faculty of Science,Jadara University, Irbid, Jordan - (wadeimoon1@hotmail.com)
  • Doi: https://doi.org/10.54216/IJNS.260110

    Received: November 10, 2024 Revised: January 03, 2025 Accepted: January 31, 2025
    Abstract

    In this paper, fuzzy γ-open sets, and fuzzy γ-irresolute functions are used to define and investigate a new class of functions called fuzzy completely γ-irresolute functions, fuzzy completely weakly γ-irresolute between fuzzy topological spaces. We obtain their characterizations and their basic properties.

    Keywords :

    Fuzzy topology , Fuzzy &gamma , -open sets , Fuzzy &gamma , -irresolute functions , Fuzzy &gamma , -open set , Fuzzy completely &gamma , -irresolute , Fuzzy completely weakly &gamma , -irresolute , Fuzzy &gamma , -continuous , Fuzzy &gamma , -connected

    References

    [1] K.K. Azad, On fuzzy semi-continuity, Fuzzy Slmost continuity and Fuzzy weakly continuity, J. Math. Snal. Sppl, 82, 14-32 (1981).

    [2] G. Balasubramanian, On some generalization of fuzzy continuous functions, Fuzzy Sets and Systems, 86 (1993), 93-100.

    [3] R.N. Bhaumik and AnjanMukerjee, Fuzzy Completely continuous mappings, Fuzzy Sets and systems, vol. 56(1993), 243-246.

    [4] S.S.Benchalli and Jenifer Karnel, On Fuzzy b-open sets in Fuzzy Topological Spaces, J.Computer and Mathematical Sciences, 1(2010), 127-134 .

    [5] S. S. Benchalli and Jenifer J. Karnel, On Fuzzy γ-Neighbourhoods and Fuzzy γ-Mappings in Fuzzy Topological Spaces, J. Comp. Math. Sci, Vol. 1 (6)(2010), 696-701.

    [6] Al-Omeri,W., Noiri, T.On almost e-I-continuous functions. Demonstratio Mathematica, 2021, 54(1), pp. 168–177

    [7] C.L. Chang, Fuzzy topological spaces, J. Math. Anal, Appl. 24(1968), 182-190.

    [8] Krsteska. Biljana, Fuzzy γ-open sets and fuzzy γ-separation axioms, Filomat,(1999), 115-128.

    [9] C. Jia Li and Ji-Shu Chang Fuzzy Almost Regular and Fuzzy Strong Hausdorff separation properties, Machine learning and Cybermetics, (2004), 1177-1181.

    [10] Al-Omeri, W.F.,Khalil, O.H.,Ghareeb, A.Degree of (L, M)-fuzzy semi-precontinuous and (L, M)-fuzzy semi-preirresolute functions,Demonstr. Math. 51 (1), 182–197. Science

    [11] A.S. Mashhour, M. E.Abd, El-Monsef and S.N. El-Deeb, On precontinuous and weak precontinuous mappings Proc, Math. Phys. Soc. Egypt 53, (1982), 47-53.

    [12] Pao-Ming Pu and Ying- Ming Liu, Fuzzy Topology-I Neighborhood structure of fuzzy point and Mooresmith convergence, J. Math. Anal. Appl, 6(1980), 571-599.

    [13] S. S. Thakur, Surendra Singh, On fuzzy semi-preopen sets and fuzzy semi-semi-Precontinuity, Fuzzy sets and systems, 98(1998), 383-391.

    [14] Es A Haydor, Almost compactness and nearly compactness in fuzzy topological spaces, Fuzzy Sets and Systems 22(1987), 189-202.

    [15] Hanan Ali Hussein, ON Compactly fuzzy b-k-closed sets, Journal of Rabylon University, Pure and Applied Sciences, No.(7), Mol.(22)(2014), 1-12.

    [16] M. T. Hmod, M. A. Al-khafajiand T. H. Majeed, Some types of fuzzy open sets in fuzzy topological groups, Int. J. of Advanced Math. Sci, 3 (2)(2015), 103-107.

    [17] A. N. Mukherjee, Fuzzy totally continuous and totally semi-continuous functions, Fuzzy sets and systems, 107(1999), 227-230.

    [18] O. Njastad, On some classes of nearly open sets, Pacific J. Math, 51(1965), 961-970.

    [19] G. Navalagi and R. K. Saraf, On fuzzy contra semicontinuous functions and fuzzy strongly semi S-closed spaces, (preprint).

    [20] S. Nanda, Strongly conpact fuzzy topological spaces, Fuzzy sets and systems, 42(1991), 259-262.

    [21] B. R. Patel and A. T. Khan, ”Exploring b-fuzzy topological spaces and their properties,”Journal of Mathematical Analysis and Applications”, vol. 19, no. 1, pp. 101-110, 2021.

    [22] WC. L. Zhang and D. Y. Liu, ”Fuzzy continuous mappings and their applications in topological spaces,” in *International Journal of Fuzzy Systems*, vol. 22, no. 3, pp. 245-256, 2022.

    [23] M. Vijaya and M. Rajesh, Study On Fuzzy γ˚-fuzzy semi open sets and Fuzzy γ˚- semi closed set in fuzzy topological spaces, Inte. J. of P. and Applied Math, Volume 117 No. 5 (2017), 99-107.

    [24] S. P. Sinha, Fuzzy normality and some of its weaker forms, Rull. Korean Math. Soc. 28, No. 1(1991), 89-97.

    [25] A.B.Saeid, Fuzzy topological B-algebras, International.J. of fuzzy systems, 8(3)(2006), 160-164.

    [26] C. K. Wong, Fuzzy topology, Product and quotient spaces, J. Math. Anal. Sppl, 45(1974), 512-521.

    [27] L.A. Zadeh, Fuzzy sets, Information and Computation, vol. 8(1965), 338-353.

     

    Cite This Article As :
    Faris, Wadei. On fuzzy completely γ-irresolute and weakly completely γ-irresolute functions. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 117-126. DOI: https://doi.org/10.54216/IJNS.260110
    Faris, W. (2025). On fuzzy completely γ-irresolute and weakly completely γ-irresolute functions. International Journal of Neutrosophic Science, (), 117-126. DOI: https://doi.org/10.54216/IJNS.260110
    Faris, Wadei. On fuzzy completely γ-irresolute and weakly completely γ-irresolute functions. International Journal of Neutrosophic Science , no. (2025): 117-126. DOI: https://doi.org/10.54216/IJNS.260110
    Faris, W. (2025) . On fuzzy completely γ-irresolute and weakly completely γ-irresolute functions. International Journal of Neutrosophic Science , () , 117-126 . DOI: https://doi.org/10.54216/IJNS.260110
    Faris W. [2025]. On fuzzy completely γ-irresolute and weakly completely γ-irresolute functions. International Journal of Neutrosophic Science. (): 117-126. DOI: https://doi.org/10.54216/IJNS.260110
    Faris, W. "On fuzzy completely γ-irresolute and weakly completely γ-irresolute functions," International Journal of Neutrosophic Science, vol. , no. , pp. 117-126, 2025. DOI: https://doi.org/10.54216/IJNS.260110