We prove that the category L-FC is a topological category over Set. From this fact, we can define subspaces and products of L-fuzzy closure spaces. In particular, an initial structure of L-fuzzy topological spaces can be obtained by the initial structure of L-fuzzy closure spaces induced by those. (C) 2002 Elsevier Science B.V. All rights reserved.
机构:
Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
Yang, W. H.
Li, S. G.
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Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
Li, S. G.
Zhao, H.
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Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
机构:
School of Mathematics and Information Science, Shandong Institute of Business and TechnologySchool of Mathematics and Information Science, Shandong Institute of Business and Technology
Li Hong-yan
Cui Wei
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Department of Modern Science and Technology, Shenyang Municipal Party Committee Party SchoolSchool of Mathematics and Information Science, Shandong Institute of Business and Technology
Cui Wei
Lei Feng-chun
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机构:School of Mathematics and Information Science, Shandong Institute of Business and Technology
机构:
Shandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R ChinaShandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China
Li, Hong-Yan
Shi, Fu-Gui
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Beijing Inst Technol, Dept Math, Sch Sci, Beijing 100081, Peoples R ChinaShandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China
机构:
Shandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R ChinaShandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China
Li, Hong-Yan
Shi, Fu-Gui
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Beijing Inst Technol, Dept Math, Sch Sci, Beijing 100081, Peoples R ChinaShandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China