• Title/Summary/Keyword: IVF

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INTERVAL-VALUED FUZZY SEMIOPEN, PREOPEN AND α-OPEN MAPPINGS

  • JUN, YOUNG BAE;KANG, GI CHUL;OZTURK, MEHMET ALI
    • Honam Mathematical Journal
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    • v.28 no.2
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    • pp.241-259
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    • 2006
  • Using the concept of interval-valued fuzzy (IVF) sets, the notions of IVF semiopen (semiclosed) sets, IVF preopen (preclosed) sets and IVF $\alpha$-open ($\alpha$-closed) sets are introduced, and interrelations are investigated. Also, the concepts of IVF open mappings, IVF preopen mappings, IVF semiopen mappings and IVF $\alpha$-open mappings are introduced, and interrelations are discussed.

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HAUSDORFF INTERVAL VALUED FUZZY FILTERS

  • Ramakrishinan, P.V.;V. Lakshmana Gomathi Nayagam
    • Journal of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.137-148
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    • 2002
  • The notion of Interval Valued Fuzzy Sets (IVF sets) was introduced by T. K. Mondal. In this paper a notion of IVF filter is introduced and studied. A new notion of Hausdorffness, which can not be defined in crisp theory of filters, is defined on IVF filters and their properties are studied.

Interval-Valued Fuzzy Almost α-Continuous Mappings (Interval-Valued Fuzzy Almost α-연속 함수의 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.4
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    • pp.525-529
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    • 2011
  • We introduce the concept of IVF almost ${\alpha}$-continuity and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces. We study the relationships between IVF almost ${\alpha}$-continuous mappings and another types of IVF continuous mappings.

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
    • Honam Mathematical Journal
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    • v.31 no.1
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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 STRONG SEMI-OPEN SETS

  • Jun, Young-Bae;Bae, Ji-Hye;Cho, So-Hui;Kim, Chang-Su
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.45-58
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    • 2007
  • The notions of IVF strongly semiopen (semiclosed) sets and IVF (strong) semi-interior (IVF (strong) semi-closure) are introduced, and several examples are provided. Related properties are investigated. In particular, characterizations of an IVF strongly semiopen set are discussed.

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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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    • v.9 no.2
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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.

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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    • v.10 no.2
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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.