A new approach of describing L-fuzzy convexity

Article type: Research Article

Authors: Zhong, Yu^a | Chen, Fan-Hong^{b; c; *} | Shi, Fu-Gui^b

Affiliations: [a] College of Science, North China University of Technology, Beijing, P.R. China | [b] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China | [c] School of Civil Engineering and Architecture, Yanching Institute of Technology, Hebei, China

Correspondence: [*] Corresponding author. Fan-Hong Chen, E-mail: [email protected]

Abstract: In this paper, the notions of L-fuzzy convex subgroup and L-fuzzy convex subgroup degree are introduced and their characterizations are given. A new method for describing L-fuzzy convexity is obtained. Also, L-fuzzy convexity preserving mappings and L-fuzzy convex-to-convex mappings are analyzed. Besides, we provide a counter example to illustrate one of the conclusions.

Keywords: L-fuzzy convex subgroup, L-fuzzy convex subgroup degree, L-fuzzy convexity

DOI: 10.3233/JIFS-182568

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2253-2264, 2019