L-concave bases and L-topological-concave spaces

Article type: Research Article

Authors: Wu, Xiu-Yun^{a; b; *} | Shi, Fu-Gui^a

Affiliations: [a] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China | [b] School of Science, Hunan Institute of Science and Engineering, Yongzhou, China

Correspondence: [*] Corresponding author. Xiu-Yun Wu. E-mail: [email protected].

Abstract: In this paper, L-concave structures are characterized by L-concave internal relations and L-convex enclosed relations. Then L-concave bases are introduced and their relations with L-concave structure are discussed. As an application of L-concave bases, L-topological-concave spaces are introduced and some characterizations of them are obtained.

Keywords: L-concave space, L-concave base spaces, L-topological-concave space, L-topological-concave internal relation space

DOI: 10.3233/JIFS-181286

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 4, pp. 4731-4743, 2018