Some notes on soft topological spaces

AYGÜNOĞLU A., AYGÜN H.

NEURAL COMPUTING & APPLICATIONS, vol.21, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21
  • Publication Date: 2012
  • Doi Number: 10.1007/s00521-011-0722-3
  • Journal Name: NEURAL COMPUTING & APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Soft set, Soft mapping, Soft topology, Soft continuity, Soft compactness, Fuzzy set, DECISION-MAKING, SET-THEORY, BCK/BCI-ALGEBRAS
  • Kocaeli University Affiliated: Yes

Abstract

The first aim of this study is to define soft topological spaces and to define soft continuity of soft mappings. Second is to introduce soft product topology and study properties of soft projection mappings. Third is to define soft compactness and generalize Alexander subbase theorem and Tychonoff theorem to the soft topological spaces.