The Alexandrov L-fuzzy nearness is a new addition to the L-fuzzy systems that is the base for intelligent systems and its wide applications in various fields. This paper represents the connections among L-fuzzy nearness and various L-fuzzy systems such as: L-fuzzy rough sets, L-fuzzy semi-topogenous orders and L-fuzzy uniformities in complete residuated lattices. Moreover, we show that there is a Galois correspondence between the categories of those mentioned systems.
机构:
Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Zhong, Yu
Yan, Cong-Hua
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Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, 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