Separation axioms in fuzzy convex spaces

Article type: Research Article

Authors: Yang, Hui^{a; b; *}

Affiliations: [a] Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, P.R. China | [b] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China

Correspondence: [*] Corresponding author. Hui Yang. E-mail: [email protected].

Abstract: In fuzzy set theory, fuzzy convex structures are important mathematical structures. In this paper, we focus on separation axioms in fuzzy convex spaces. Concretely, we introduce S0, S1 and S2 separation axioms in fuzzy convex spaces and establish their relationships. Furthermore, we investigate their hereditary and productive properties.

Keywords: Fuzzy convex structures, separation axioms, S₀, S₁, S₂

DOI: 10.3233/JIFS-192076

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 439-447, 2021