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

  • JUN, YOUNG BAE (Department of Mathematics Education(and RINS) Gyeongsang National University) ;
  • KANG, GI CHUL (Department of Mathematics Education(and RINS) Gyeongsang National University) ;
  • OZTURK, MEHMET ALI (Department of Mathematics Faculty of Arts and Sciences Cumhuriyte University)
  • Received : 2006.04.23
  • Published : 2006.06.30

Abstract

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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