• 제목/요약/키워드: fuzzy continuity

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On Fuzzy α-Weakly r-Continuous Mappings

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권3호
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    • pp.228-231
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    • 2009
  • In this paper, we introduce the concept of fuzzy $\alpha$-weakly r-continuous mapping on a fuzzy topological space and investigate some properties of such a mapping and the relationships among fuzzy $\alpha$-weakly r-continuity, fuzzy r-continuity and fuzzy weakly r-continuity.

CONTINUITY OF FUZZY PROPER FUNCTIONS ON SOSTAK'S I-FUZZY TOPOLOGICAL SPACES

  • Roopkumar, Rajakumar;Kalaivani, Chandran
    • Communications of the Korean Mathematical Society
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    • 제26권2호
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    • pp.305-320
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    • 2011
  • The relations among various types of continuity of fuzzy proper function on a fuzzy set and at fuzzy point belonging to the fuzzy set in the context of $\v{S}$ostak's I-fuzzy topological spaces are discussed. The projection maps are defined as fuzzy proper functions and their properties are proved.

Fuzzy c-Continuous Mappings

  • Hur, K.;Ryon, J.H.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제1권1호
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    • pp.50-55
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    • 2001
  • We generalize mainly the concept of c-continuity of a mapping due to Gentry and Hoyle III in fuzzy setting. And we investigate some properties of fuzzy c-continuous mappings.

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On Fuzzy M-Sets and Fuzzy M-Continuity

  • Min, Won-Keun;Park, Chun-Kee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권1호
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    • pp.59-63
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    • 2005
  • In this paper, we introduce the concept of fuzzy m-sets induced by a given fuzzy supratopology and investigate general properties of the new class consisted of fuzzy m-sets. We also introduce notions of fuzzy m-continuity, fuzzy m-open(closed) maps and study some properties of them.

γ-Connectedness in fuzzy topological spaces

  • Hanafy, I.M.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제3권2호
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    • pp.258-261
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    • 2003
  • The aim of this paper is to introduce the concept $\gamma$-connectedness in fuzzy topological spaces. We also investigate some interre lations between this types of fuzzy connectedness together with the preservation properties under some types of fuzzy continuity. A comparison between some types of connectedness in fuzzy topological spaces is of interest.

QUASI-FUZZY CONTINUITY AND QUASI-FUZZY SEPARATION AXIOMS

  • Park, Jin-Han;Park, Jin-Keun;Shin, Su-Young
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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    • pp.70-76
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    • 1998
  • The aim of this paper is to study and find characterizations of quasi-fuzzy continuous and quasi-fuzzy closed mappings between fuzzy bitopological spaces. The notion of quasi-fuzzy open sets is used to defined quasi-fuzzy Ti (i=0, 1, 2) and quasi-fuzzy regular spaces and these spaces are investigated under quasi-fuzzy continuity. Finally, quasi-fuzzy connectednss is introduced and studied to some extent.

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Fuzzy Generalized Topological Spaces (퍼지 일반위상 공간에 관한 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • 제19권3호
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    • pp.404-407
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    • 2009
  • In this paper, we introduce the concept of fuzzy generalized topologies which are generalizations of smooth topologies and Chang's fuzzy topologies and obtain some basic properties of their structure. Also we introduce and study the concepts of fuzzy generalized continuity and weakly fuzzy generalized continuity.