L-valued covering-based rough sets and corresponding decision-making applications

Abstract

Considering L to be a complete residuated lattice, by introducing the notion of L-valued covering on an L-set (as a universe), and then an L-valued neighborhood based on it, we present the concept of L-valued covering-based rough sets. We mainly address the following issues in this paper: Firstly, we present four types of L-valued neighborhood operators and study some of their respective properties. Secondly, we construct L-valued lower (resp., upper) approximation operators and then discuss some of their properties. Finally, we try to propose a kind of MADM problem based on an L-valued covering-based rough set model (for L=[0,1]).