Abstract

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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