Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets
| Autor: | Dongmo, G. Nguepy, NJIONOU, B. B. KOGUEP, Kwuida, L., Onabid, M. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 21 pages |
| Databáze: | arXiv |
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