This paper introduces the relations between covering and dicovering in the framework of
rough sets. The natural counterpart of a covering in textures is given by a family of pairs of …

Departing from a suitable categorical description of closure operators, this paper dualizes
this notion and introduces some basic properties of dual closure operators. Usually these …

We study cowellpoweredness in the category QUnif QUnif of quasi-uniform spaces and
uniformly continuous maps. A full subcategory AA of QUnif QUnif is cowellpowered when the …

The basic motivation of the theory of textures is to find a convenient point-set based setting
for fuzzy sets. Recent works on textures show that they also provide a useful model for rough …

It is known that approximation operator and definability are two main tools in rough set
theory. These tools are also key concepts for texture spaces. The aim of this chapter is to …

In this paper, we consider quotient structure and quotient difunctions in the context of interior
and closure operators on textures in the sense of Dikranjan-Giuli. The generalizations of …

The aim of this paper is to introduce some separation notions of graded ditopological texture
spaces by means of spectrum idea and investigate some of their properties. Also, the …