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On concretely both reflective and coreflective subconstructs of Chang fuzzy topological spaces

On concretely both reflective and coreflective subconstructs of Chang fuzzy topological spaces
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摘要 In this paper, the concretely both reflective and coreflective subconstructs of the construct CFTSof Chang fuzzy topological spaces are characterized and their relationship to such subconstructs of stratifiedfuzzy topological spaces is investigated. Properties of a particular such subconstruct of CFTS, the constructof weak fuzzy neighborhood spaces, are discussed in detail. And it is proved that there exists exactly c suchsubconstructs between the subconstruct of weakly induced spaces and CFTS. In this paper, the concretely both reflective and coreflective subconstructs of the construct CFTS of Chang fuzzy topological spaces are characterized and their relationship to such subconstructs of stratified fuzzy topological spaces is investigated. Properties of a particular such subconstruct of CFTS, the construct of weak fuzzy neighborhood spaces, are discussed in detail. And it is proved that there exists exactly c such subconstructs between the subconstruct of weakly induced spaces and CFTS.
作者 张德学
出处 《Science China Mathematics》 SCIE 2003年第1期107-117,共11页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China,Fok Ying Tung Education foundation and the Science Technology Foundation of Sichuan Province for Young Scholars.
关键词 FUZZY TOPOLOGICAL space TOPOLOGICAL constructs REFLECTIVE and coreflective subcon-structs total FUZZY topology. fuzzy topological space topological constructs reflective and coreflective subconstructs total fuzzy topology
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参考文献5

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