A topological view on application of L-fuzzy soft sets: Compactness

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 3032122; Fax: +9 0262 3032003; E-mail: vcetkin@gmail.com.

Abstract: It is known that compactness occupies a very important place in general topology and also in fuzzy topology. In this paper, a stronger form of a fuzzy soft topology which is called a parameterized L-fuzzy soft topology is presented and compactness of a L-fuzzy soft set is established in the described topological space, where L is a complete DeMorgan algebra. Then the fundamental properties and characterizations of compactness are observed.

Keywords: Fuzzy soft set, fuzzy soft topology, continuity, compactness

DOI: 10.3233/JIFS-16043

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 781-790, 2017