• Title/Summary/Keyword: supra topological space

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A NOTE ON BIPOLAR SOFT SUPRA TOPOLOGICAL SPACES

  • Cigdem Gunduz Aras ;Sadi Bayramov;Arzu Erdem Coskun
    • The Pure and Applied Mathematics
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    • v.30 no.4
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    • pp.357-375
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    • 2023
  • In this paper, we introduce the concept of bipolar soft supra topological space and provide a characterization of the related concepts of bipolar soft supra closure and bipolar soft supra interior. We also establish a connection between bipolar soft supra topology and bipolar soft topology. Additionally, we present the concept of bipolar soft supra continuous mapping and examine the concept of bipolar soft supra compact topological space. A related result concerning the image of the bipolar soft supra compact space is proved. Finally, we identify the concepts of disconnected (connected) and strongly disconnected (strongly connected) space and derive several results linking them together. Relationships among these concepts are clarified with the aid of examples.

ON FUZZY S-CONTINUOUS FUNCTIONS

  • Min, Won Keun
    • Korean Journal of Mathematics
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    • v.4 no.1
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    • pp.77-82
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    • 1996
  • We introduce the concepts of fuzzy $s$-continuous functions. And we investigate several properties of the fuzzy $s$-continuous function. In particular, we study the relation between fuzzy continuous functions and fuzzy $s$-continuous functions.

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ON FUZZY BITOPOLOGICAL SPACES IN ŠOSTAK'S SENSE

  • Ramadan, A.A.;Abbas, S.E.;El-Latif, A.A. Abd
    • Communications of the Korean Mathematical Society
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    • v.21 no.3
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    • pp.497-514
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    • 2006
  • In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spaces.