• Title, Summary, Keyword: IVF

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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
    • 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 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 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 STRONG SEMI-OPENNESS AND INTERVAL-VALUED FUZZY STRONG SEMI-CONTINUITY

  • JUN, YOUNG BAE;BAE, JI HYE;CHO, SO HUI;KIM, CHANG SU
    • Honam Mathematical Journal
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    • v.28 no.3
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    • pp.417-431
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    • 2006
  • The notions of IVF strongly semiopen (semiclosed) mappings and IVF strongly semicontinuous mappings are introduced, and several examples are provided. Related properties are investigated. In particular, characterizations of an IVF strongly semiopen mapping and an IVF strongly semicontinuous mapping 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 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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