SOME GOOD DILUTIONS OF FUZZY COMPACTNESS

BULBUL A., WARNER M.

FUZZY SETS AND SYSTEMS, vol.51, no.1, pp.111-115, 1992 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 1
  • Publication Date: 1992
  • Doi Number: 10.1016/0165-0114(92)90082-f
  • Journal Name: FUZZY SETS AND SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.111-115
  • Karadeniz Technical University Affiliated: No

Abstract

The 'obvious' generalisation of compactness to fuzzy topology is known not to be a good extension in the sense of Lowen. Following Lowen's approach to defining a good fuzzy compactness, definitions are suggested for fuzzy almost, nearly and weak compactness which are proved to satisfy goodness. Fuzzy S-closedness and RS-compactness are treated to a similar approach.