Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets
Logic
2020-08-11 v1
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.
Keywords
Cite
@article{arxiv.2008.03690,
title = {Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets},
author = {G. Nguepy Dongmo and B. B. KOGUEP NJIONOU and L. Kwuida and M. Onabid},
journal= {arXiv preprint arXiv:2008.03690},
year = {2020}
}
Comments
21 pages