• 제목/요약/키워드: interval-valued fuzzy minimal spaces

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Interval- Valued Fuzzy Minimal Structures and Interval-Valued Fuzzy Minimal Spaces

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제8권3호
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    • pp.202-206
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    • 2008
  • We introduce the concept of interval-valued minimal structure which is an extension of the interval-valued fuzzy topology. And we introduce and study the concepts of IVF m-continuous and several types of compactness on the interval-valued fuzzy m-spaces.

REMARKS ON INTERVAL-VALUED FUZZY MINIMAL PRECONTINUOUS MAPPINGS AND INTERVAL-VALUED FUZZY MINIMAL PREOPEN MAPPINGS

  • Min, Won Keun;Kim, Myeong Hwan
    • Korean Journal of Mathematics
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    • 제17권3호
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    • pp.249-255
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    • 2009
  • In [5], we introduced the concepts of IVF m-preopen sets and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. In this paper, we introduce the concept of IVF m-preopen mapping and investigate characterizations for IVF mprecontinuous mappings and IVF m-preopen mappings.

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INTERVAL-VALUED FUZZY m-SEMIOPEN SETS AND INTERVAL-VALUED FUZZY m-PREOPEN SETS ON INTERVAL-VALUED FUZZY MINIMAL SPACES

  • Min, Won-Keun;Kim, Myeong-Hwan;Kim, Jung-Il
    • 호남수학학술지
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    • 제31권1호
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    • pp.31-43
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    • 2009
  • We introduce the concepts of IVF m-semiopen sets, IVF m-preopen sets, IVF m-semicontinuous mappings and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. We investigate characterizations of IVF m-semicontinuous mappings and IVF m-precontinuous mappings and study properties of IVF m-semiopen sets and IVF m-preopen sets.

Interval-Valued Fuzzy Almost M-Continuous Mapping On Interval-Valued Fuzzy Topological Spaces

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권2호
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    • pp.142-145
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    • 2010
  • We introduce the concept of IVF almost M-continuity and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces. We study the relationships between IVF almost M-continuous mapping and IVF compactness.

On Interval-Valued Fuzzy Weakly m*-continuous Mappings on Interval-Valued Fuzzy Minimal Spaces

  • Min, Won-Keun;Kim, Myeong-Hwan
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권2호
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    • pp.133-136
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    • 2009
  • In this paper, we introduce the concept of IVF weakly $m^*$-continuous mappings on between IVF minimal spaces and investigate some characterizations for such mappings. Also we study the relationships IVF weakly $m^*$-continuous mappings and IVF M-compactness.