Join-meet preserving maps and Alexandrov fuzzy topologies

Yong Chan Kim · Journal of Intelligent & Fuzzy Systems · 2015

In this paper, we investigate the properties of join-meet preserving maps in complete residuated lattices. We define join-meet approximation operators as a generalization of fuzzy rough sets in complete residuated lattices. Moreover, we investigate the relations between join-meet preserving maps and Alexandrov fuzzy topologies. We give their examples.

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