CATS of soft topological spaces

Article type: Research Article

Authors: Çetkin, Vildan^* | Aygünoğlu, Abdülkadir | Aygün, Halis

Affiliations: Department of Mathematics, Kocaeli University, Umuttepe Campus, Kocaeli, Turkey

Correspondence: [*] Corresponding author. Vildan Çetkin, Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380 Kocaeli, Turkey. Tel.: +9 0262 303 2122; Fax: +9 0262 303 2003; E-mail: vcetkin@gmail.com.

Abstract: The goal of this study is to consider the natural interrelations between all of the (fuzzy) soft topological spaces in the categorical viewpoint. For this reason, the categories of (fuzzy) soft topological spaces are constructed and then the relations between these categories are observed by using the defined functors.

Keywords: (Fuzzy) Soft set, topology, (fuzzy) soft topology, functor, category

DOI: 10.3233/IFS-151901

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 1903-1913, 2016