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Article type: Research Article
Authors: He, Penga | Wang, Xue-Pingb; *
Affiliations: [a] College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan, People’s Republic of China | [b] School of Mathematical Sciences, Sichuan Normal University Chengdu, Sichuan, People’s Republic of China
Correspondence: [*] Corresponding author. Xue-ping Wang, School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066, People’s Republic of China. E-mail: xpwang1@hotmail.com.
Abstract: This paper deals with L-fuzzy up-sets by using terminologies of closure operators. It first gives a condition that a family of some subsets of a nonempty set can be represented by L-fuzzy up-sets, and it finally discusses the L-fuzzy sets on quotient sets under closure operators.
Keywords: Complete lattice, L-fuzzy up-set, closure operator
Keywords: 03B52, 03E72, 06A15
DOI: 10.3233/JIFS-191388
Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4667-4673, 2020
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