Soft sets and soft topology on nearness approximation spaces

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

Filomat, cilt.31, sa.13, ss.4117-4125, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 13
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1713117t
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4117-4125
  • Anahtar Kelimeler: Near sets, Near soft closure, Near soft interior, Near soft sets, Near soft topological space, Soft sets, Soft topological space
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

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.