Fuzzy soft topological spaces

Article type: Research Article

Authors: Mahanta, J.^* | Das, P.K.

Affiliations: Department of Mathematics, NERIST, Nirjuli, Arunachal Pradesh, India

Correspondence: [*] Corresponding author. J. Mahanta, Department of Mathematics, NERIST, Nirjuli, Arunachal Pradesh, India. Tel.: +91 97071 52046; E-mail: [email protected].

Abstract: Fuzzy soft topological space was introduced and studied by B. Tanay et al. [8]. This paper introduces fuzzy soft point and study the concept of neighborhood of a fuzzy soft point in a fuzzy soft topological space alongwith the study of fuzzy soft closure and fuzzy soft interior. Further, separation axioms and connectedness are introduced and investigated for fuzzy soft topological spaces.

Keywords: Fuzzy soft point, fuzzy soft topological space, fuzzy soft closure, fuzzy soft connectedness, fuzzy soft separation

DOI: 10.3233/JIFS-152165

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 443-450, 2017