• 제목/요약/키워드: IVF $\alpha$-open mappings

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

  • JUN, YOUNG BAE;KANG, GI CHUL;OZTURK, MEHMET ALI
    • 호남수학학술지
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    • 제28권2호
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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 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.