Generalized closed sets in ditopological texture spaces with application in rough set theory

In this paper, the counterparts of generalized open (g-open) and generalized closed (g-closed) sets for ditopological texture spaces are introduced and some of their characterizations are obtained. Some characterizations are presented for generalized bicontinuous difunctions. Also, we introduce new notions of compactness and stability in ditopological texture spaces based on the notion of g-open and g-closed sets. Finally, as an application of g-open and g-closed sets, we generalize the subsystem based denition of rough set theory by using new subsystem, called generalized open sets to dene new types of lower and upper approximation operators, called g-lower and g-upper approximations. These decrease the upper approximation and increase the lower approximation and hence increase the accuracy. Properties of these approximations are studied. An example of multi-valued information systems are given

Soft Fuzzy Syntopogenous Spaces

In this paper , we introduce the conceptes of semi-topogenous ( resp. topogenous )soft fuzzy order and the syntopogenous soft fuzzy structure and study many of their properties and show that there is a one-one corresponds between perfect topogenous soft fuzzy structures and soft fuzzy topological structure

Soft Fuzzy Syntopogenous Spaces

Abstract: In this paper , we introduce the conceptes of semi-topogenous ( resp. topogenous )soft fuzzy order and the syntopogenous soft fuzzy structure and study many of their properties and show that there is a one-one corresponds between perfect topogenous soft fuzzy structures and soft fuzzy topological structures Keywords: soft set -soft fuzzy set -soft fuzzy topological space -soft fuzzy topogenous order -soft fuzzy syntopogenous structure

Soft Generalized Closed Sets with Respect to an Ideal in Soft Topological Spaces

Abstract: A soft ideal on a non empty setX is a non empty collection of soft subsets ofX with heredity property which is also closed under finite unions. The concept of soft generalized closed sets in soft topological spaces was introduced by Kannan [1]. In this paper, we introduce and study the concept of soft generalized closed sets with respect to a soft ideal, which is the extension of the concept of soft generalized closed sets

On Interval-Valued Supra-Fuzzy Syntopogenous Structure

A new definition of interval-valued supra-fuzzy syntopogenous (resp., supra-fuzzy proximity) space is given. We show that for any interval-valued fuzzy syntopogenous structure , there is another interval-valued fuzzy syntopogenous structure called the conjugate of . This leads to introducing the concept of interval-valued bifuzzy syntopogenous space. Finally, we show every interval-valued bifuzzy syntopogenous space induces an interval-valued fuzzy supra-syntopogenous space. Throughout this paper, the family of all fuzzy sets on nonempty set will be denoted by and the family of all interval-valued fuzzy sets on a nonempty set will be denoted by