Fuzzy generalized convex spaces

Article type: Research Article

Authors: Wu, Xiu-Yun^{; *}

Affiliations: [a] School of Mathematicsand Statistics, Anhui Normal University, Wuhu, China | [b] School of Science, HunanUniversity of Science and Engineering, Yongzhou, China

Correspondence: [*] Corresponding author. X.Y. Wu. E-mail: wuxiuyun2000@126.com.

Abstract: On completely distributive lattice, the notion of fuzzy generalized convex space is introduced. It can be characterized by many means including fuzzy generalized hull space, fuzzy generalized restricted hull space, fuzzy generalized convexly enclosed relation space and fuzzy generalized derived hull space.

Keywords: Fuzzy generalized convex space, fuzzy generalized hull space, fuzzy generalized restricted hull space, fuzzy generalized convexly enclosed relation space

DOI: 10.3233/JIFS-200026

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3907-3919, 2020