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arXiv · 2008.03690

Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets

G. Nguepy Dongmo·B. B. KOGUEP NJIONOU·L. Kwuida·M. Onabid
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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 $M$ 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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BibTeXRIS

G. Nguepy Dongmo, B. B. KOGUEP NJIONOU, L. Kwuida, M. Onabid. 2020-08-09. Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets. https://arxiv.org/abs/2008.03690

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