The aim of this paper is to investigate the relations among the L-fuzzy pre-proximities, L-fuzzy closure operators and L-fuzzy co-topologies in complete residuated lattices. We show that there is a Galois correspondence between the category of separated L-fuzzy closure spaces and that of separated L-fuzzy pre-proximity spaces and we give their examples.
机构:
Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410006, Hunan, Peoples R ChinaHunan Normal Univ, Coll Math & Comp Sci, Changsha 410006, Hunan, Peoples R China
Guo, Lankun
Li, Qingguo
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Hunan Univ, Coll Math & Econometr, Changsha 410082, Peoples R ChinaHunan Normal Univ, Coll Math & Comp Sci, Changsha 410006, Hunan, Peoples R China
Li, Qingguo
Zhang, Guo-Qiang
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Univ Kentucky, Inst Biomed Informat, Lexington, KY 40536 USAHunan Normal Univ, Coll Math & Comp Sci, Changsha 410006, Hunan, Peoples R China
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Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Pang, Bin
Mi, Ju-Sheng
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Mi, Ju-Sheng
Yao, Wei
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Hebei Univ Sci & Technol, Sch Sci, Shijiazhuang 050018, Hebei, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
机构:
Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
Ili Normal Univ, Sch Math & Stat, Yining 835000, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
Zhou, Xin
Chen, Liangyun
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Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
Chen, Liangyun
Chang, Yuan
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Dongbei Univ Finance & Econ, Sch Math, Dalian 116025, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China