Volume 23 • Issue 1 • PP: 112-116 • 2024
Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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.
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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).
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