Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets

2020/08/09 by G. Nguepy Dongmo, Dongmo, G. Nguepy, Blaise B. Koguep Njionou +5
Computer Science · #03E72 #05B35 #06B75 #06D72 #Advanced Algebra and Logic #FOS: Mathematics #Logic (math.LO) #Natural Language Processing Techniques #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.2008.03690

openalex publication_date 2020/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 2004 Anna Maria Radzikowska et al \citeRK2004 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.

Citations

• L-fuzzy sets

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