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Article type: Research Article
Authors: Su, Shuhuaa; * | Li, Qingguob
Affiliations: [a] Fuzhou Teachers’ College, East China University of Technology, Fuzhou, Jiangxi, P.R. China | [b] College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, P.R. China
Correspondence: [*] Corresponding author. Shuhua Su, Fuzhou Teachers’ College, East China University of Technology, Fuzhou, Jiangxi 344000, P.R. China. Tel./Fax: +86 0794 7062506; E-mail: sushuhua913@163.com.
Abstract: In this paper, the concepts of algebraic L-closure system and algebraic L-closure operators are introduced from the fuzzy point of view. It is shown that the category of algebraic L-closure spaces is isomorphic to the category of algebraic L-closure system spaces. It is also proved that the category of algebraic L-closure system spaces is dual to the category algebraic L-lattices.
Keywords: Fuzzy set, algebraic L-closure system, algebraic L-closure operator, category
DOI: 10.3233/JIFS-16452
Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 2199-2210, 2017
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