L-fuzzy convexity induced by L-convex fuzzy ideal degree

Article type: Research Article

Authors: Han, Yuan-Liang^{a; b; *} | Shi, Fu-Gui^a

Affiliations: [a] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China | [b] College of Science, North China Institute of Science and Technology, Langfang, P.R. China

Correspondence: [*] Corresponding author. Yuan-Liang Han. E-mail: 200900924hyl@ncist.edu.cn.

Abstract: In this paper, the degree of which an L-subset is an L-convex fuzzy ideal is proposed and its some characterizations are given. Besides, an L-fuzzy convexity on a lattice is naturally proposed and its some properties are studied.

Keywords: L-convex fuzzy ideal, Implication operator, L-fuzzy ideal degree, L-fuzzy convexity

DOI: 10.3233/JIFS-18764

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 2, pp. 1705-1714, 2019