• Title/Summary/Keyword: IVF semiopen (semiclosed) sets

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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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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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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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