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Article type: Research Article
Authors: Li, Qing-Huaa; * | Li, Hong-Yanb
Affiliations: [a] School of Mathematics and Information Sciences, Yantai University, Yantai, China | [b] School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai, China
Correspondence: [*] Corresponding author. Qing-Hua Li, School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China. E-mail: [email protected].
Abstract: Based on fuzzy inclusion order between L-subsets, stratified L-ordered uniform convergence spaces and stratified L-ordered limit spaces are introduced. It is shown that the resulting categories are all Cartesian closed topological categories. Also, the relationship among stratified L-ordered limit spaces, stratified L-ordered Cauchy spaces and stratified L-ordered uniform convergence spaces are investigated.
Keywords: (Stratified) L-ordered uniform convergence space, (Stratified) L-ordered limit space, (Stratified) L-ordered Cauchy space, Bireflective subcategory, Cartesian closed category
DOI: 10.3233/JIFS-182808
Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2587-2596, 2019
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