Soft sets and soft topology on nearness approximation spaces

TAŞBOZAN H., İÇEN İ., Bagirmaz N., ÖZCAN A. F.

Filomat, vol.31, no.13, pp.4117-4125, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 13
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1713117t
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4117-4125
  • Keywords: Near sets, Near soft closure, Near soft interior, Near soft sets, Near soft topological space, Soft sets, Soft topological space
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

Near set theory presents a fundamental basis for observation, comparison and classification of perceptual granules. Soft set theory is proposed as a general framework to model vagueness. The purpose of this paper is to combine these two theories in what are known near soft sets in defining near soft topology based on a nearness approximation space.