Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets
arXiv:2008.03690
Abstract
In 2004 Anna Maria Radzikowska et al \cite{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 as the set of truth values. -fuzzy rough sets are defined using the residuation operators provided by residuated multilattice . Depending on classes of binary fuzzy relations, we define several classes of -fuzzy rough sets and investigate some properties of these classes.
21 pages