On a new generalization of ditopological texture spaces

Korkma E., ERTÜRK R.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, vol.35, no.5, pp.5529-5539, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.3233/jifs-18180
  • Journal Name: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5529-5539
  • Hacettepe University Affiliated: Yes

Abstract

Texture spaces were introduced by L.M. Brown as a means of representing fuzzy sets in a point-based setting. The concept of ditopological texture space was defined on a texture as a generalization of topological, bitopological and fuzzy topological spaces. This paper provides an introduction to the concept of diframe. In particular, we describe the morphisms of the category of diframes and establish a connection between texture spaces and frame theory.