Soft Sets and Soft Topology on Nearness Approximation Spaces


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

FILOMAT, cilt.31, sa.13, ss.4117-4125, 2017 (SCI-Expanded) identifier 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: Soft sets, near sets, soft topological space, near soft sets, near soft topological space, near soft interior, near soft closure
  • İnönü 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.