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Article type: Research Article
Authors: Wu, Xiu-Yuna; * | Liao, Chun-Yanb | Zhao, Yan-Huib
Affiliations: [a] School of Mathematics and Statistics, Anhui Normal University, Wuhu, China | [b] School of Science, Hunan University of Science and Engineering, Yongzhou, China
Correspondence: [*] Corresponding author. Xiu-Yun Wu, School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, China. E-mail: wxy2019076@ahnu.edu.cn.
Abstract: In this paper, the notion of (L, M)- fuzzy convex derived hull spaces is introduced. It is proved that the category of (L, M)- fuzzy convex derived hull spaces is isomorphic to the category of (L, M)- fuzzy convex spaces and the category of (L, M)- fuzzy convex enclosed relation spaces. Based on this, the notion of (L, M)- fuzzy restricted convex derived hull spaces is introduced. It is further proved that the category of (L, M)- fuzzy restricted convex derived hull spaces is isomorphic to the category of (L, M)- fuzzy restricted convex hull spaces.
Keywords: (L, M)- fuzzy convex space, (L, M)- fuzzy convex enclosed relation space, (L, M)- fuzzy convex derived hull space, (L, M)- fuzzy restricted convex hull space
DOI: 10.3233/JIFS-211115
Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 1, pp. 2305-2317, 2021
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