Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets
Abstract
In 2004 Anna Maria Radzikowska et al RK2004 investigated the fuzzy rough sets where the set of truth values is an arbitrary residuated lattice. In this paper, we extend their work by considering a residuated multilattice M as the set of truth values. M-fuzzy rough sets are defined using the residuation operators provided by residuated multilattice M. Depending on classes of binary fuzzy relations, we define several classes of M-fuzzy rough sets and investigate some properties of these classes.
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