Neighborhood structures of fuzzy soft topological spaces

Article type: Research Article

Authors: Varol, Banu Pazar | Aygünoğlu, Abdülkadir | Aygün, Halis

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

Note: [] Corresponding author. Banu Pazar Varol, Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380 Kocaeli, Turkey. Tel.: +90 505 387 0815; E-mail: banupazar@kocaeli.edu.tr.

Abstract: The aim of this study is to introduce the concept of fuzzy soft point and then define the notions of neighborhood and Q-neighborhood of a fuzzy soft point in fuzzy soft topological spaces and also investigate the necessary conditions for a family of fuzzy soft sets to generate a fuzzy soft topology.

Keywords: Fuzzy soft set, fuzzy soft point, fuzzy soft topology, fuzzy soft neighborhood, fuzzy soft Q-neighborhood

DOI: 10.3233/IFS-141177

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 2127-2135, 2014