Semi-compactness in ditopological texture spaces and soft fuzzy topological spaces

Article type: Research Article

Authors: Dost, Şenol

Affiliations: Department of Secondary Science and Mathematics Education, Hacettepe University, Beytepe, Ankara, Turkey

Correspondence: [*] Corresponding author. Şenol Dost, Department of Secondary Science and Mathematics Education, Hacettepe University, 06800 Beytepe, Ankara, Turkey. Tel.: +90 312 297 61 04; Fax: +90 312 297 86 00; E-mail: [email protected]

Abstract: The basic motivation of the theory of textures is to find a convenient point-set based setting for fuzzy sets. In some recent works on textures show that they also provide a fruitful model for soft fuzzy sets. Further the category of soft fuzzy topological texture spaces is isomorphic to the category of ditopological texture spaces. The first aim of this paper is to introduce and study the notions of semi-compactness and semi-stability in ditopological texture spaces. Secondly, it is given a natural link for these concepts in soft fuzzy topological spaces by using the mentioned isomorphism.

Keywords: Texture, ditopology, semi-compactness, semi-stable, soft fuzzy topology

DOI: 10.3233/JIFS-16140

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 925-936, 2017