NEARNESS STRUCTURE ON TEXTURE SPACES

DOST Ş.

MATEMATICKI VESNIK, cilt.74, sa.1, ss.26-34, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 1
  • Basım Tarihi: 2022
  • Dergi Adı: MATEMATICKI VESNIK
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.26-34
  • Anahtar Kelimeler: nearness, symmetric topological space, cover, texture, fuzzy sets, FUZZY TOPOLOGY, SEPARATION
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Textures are point-set setting for fuzzy sets, and they provide a framework for the complement-free mathematical concepts. This paper is the first of a series of two papers on the theory of nearness spaces. This paper aims to give a new perspective for nearness structure from the textural point of view. It is proved that nearness spaces are embeddable into texture space which is connected with nearness structure.