NEARNESS STRUCTURE ON TEXTURE SPACES

DOST Ş.

MATEMATICKI VESNIK, vol.74, no.1, pp.26-34, 2022 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 1
  • Publication Date: 2022
  • Journal Name: MATEMATICKI VESNIK
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.26-34
  • Keywords: nearness, symmetric topological space, cover, texture, fuzzy sets, FUZZY TOPOLOGY, SEPARATION
  • Hacettepe University Affiliated: Yes

Abstract

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.