Volume 26 • Issue 1 • PP: 117-126 • 2025
On fuzzy completely γ-irresolute and weakly completely γ-irresolute functions
Open Access & Copyright
© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
View PDF 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
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
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.