On Alexandrov

Enas H. Elkordy,Ahmed A. Ramadan,Reham M. Ahmed

Soft Computing - A Fusion of Foundations, Methodologies and Applications（2022）

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摘要

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.

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关键词

Complete residuated lattice,L-fuzzy rough set,L-fuzzy uniformity,L-fuzzy semi-topogenous order,Alexandrov L-fuzzy nearness,Galois correspondence

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