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International Journal of Neutrosophic Science
Volume 23 , Issue 1, PP: 112-116 , 2024 | Cite this article as | XML | Html |PDF

Title

Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces

  Hassan A. Al-Hadi Ahmed 1 *

1  Department of Mathematics, College of Science, University of Diyala, Diyala, Iraq
    (Hassanabdelhadi@uodiyala.edu.iq)


Doi   :   https://doi.org/10.54216/IJNS.230109

Received: May 22, 2023 Revised: August 17, 2023 Accepted: November 10, 2023

Abstract :

The idea of fuzzy “semi-open sets” within the framework of fuzzy fields was proposed in the theory of fuzzy topology. This investigation delves deeper into the concept, specifically examining fuzzy “semi-open sets” concerning ω̃1 (ω̃2) with respect to ω̃2 (ω̃1). Additionally, we explore pairs of fuzzy “semi-open sets” in the context of a fuzzy bi-space and analyse their implications on results applicable in bi-topological spaces.

Keywords :

Fuzzy poin; fuzzy set; fuzzy semi-open set; fuzzy bi-space

References :

[1] Alexandroff A.D., Additive set functions in abstract spaces, (a) Mat.Sb. (N.S), 8:50(1940), 307- 348. (English, Russian Summary). (b) ibid, 9:51(1941), 563-628, (English, Russian Summary)

[2] Biswas N., On Semi Open Mapping in topological spaces, Bull. Cal. Math. Soc. (1969).

[3] Bose S., Semi open sets, Semi continuity and Semi Open mapping in bitopological spaces. Bull. Cal. Math. Soc. 73. 237-246 (1981).

[4] Riad K. Al-Hamido,Luai Salha,Taleb Gharibah, Pre Separation Axioms In Neutrosophic Crisp Topological Spaces, International Journal of Neutrosophic Science, Vol. 8 , No. 2 , (2020) : 72-79 (Doi   :  https://doi.org/10.54216/IJNS.080201)

[5] Das P. and Rashid M.A., Semi g*-closed sets and a new separation axiom in the spaces, Bul- letine of the Allahabad Mathematical Society, Vol. 19, (2004), 87-98.

[6] Hasan Dadas,Sibel Demiralp, Introduction to Neutrosophic Soft Bitopological Spaces, International Journal of Neutrosophic Science, Vol. 14 , No. 2 , (2021) : 72-81 (Doi   :  https://doi.org/10.54216/IJNS.140201)

[7] Lahiri B.K. and Das P., Semi Open set in a space, Sains malaysiana 24(4) 1-11(1995).

[8] Lahiri B.K. and Das P., Certain bitopological concept in a Bispace, Soochow J.of Math. Vol.27.No. 2, pp.175-185 (2001).

[9] Levine N., Semi Open sets and Semi Continuity in topological spaces, Amer. Math.Monthly 70,36(1963).

[10] Noiri Takashi, Remarks on Semi Open Mapping, Bull. Cal. Math. Soc.65,197(1973).

[11] Pervin W.J., Connectedness in Bitopological spaces, Ind.Math.29,369(1967).

[12] Reilly I.L., On Bitopological separation Properties, Nanta Math.5,14-25(1972).

[13] Sikorski R., Closure Homomorphism and Interior Mapping, Fund. Math 41,12-20(1995).


Cite this Article as :
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MLA Hassan A. Al-Hadi Ahmed. "Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces." International Journal of Neutrosophic Science, Vol. 23, No. 1, 2024 ,PP. 112-116 (Doi   :  https://doi.org/10.54216/IJNS.230109)
APA Hassan A. Al-Hadi Ahmed. (2024). Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 112-116 (Doi   :  https://doi.org/10.54216/IJNS.230109)
Chicago Hassan A. Al-Hadi Ahmed. "Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces." Journal of International Journal of Neutrosophic Science, 23 no. 1 (2024): 112-116 (Doi   :  https://doi.org/10.54216/IJNS.230109)
Harvard Hassan A. Al-Hadi Ahmed. (2024). Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 112-116 (Doi   :  https://doi.org/10.54216/IJNS.230109)
Vancouver Hassan A. Al-Hadi Ahmed. Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 1 ): 112-116 (Doi   :  https://doi.org/10.54216/IJNS.230109)
IEEE Hassan A. Al-Hadi Ahmed, Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 1 , (2024) : 112-116 (Doi   :  https://doi.org/10.54216/IJNS.230109)