Fuzzy coverings are a natural extension of the coverings by replacing crisp sets with fuzzy
sets. Recently, an excellent introduction to the definition of a fuzzy β-covering is due to Ma …

In this paper, we study a new type of fuzzy covering-based rough set model by introducing
the notion of fuzzy β-minimal description. We mainly address the following issues in this …

Generalized neighborhood system-based rough sets (GNSs) play a key part in rough set
theory. In this paper, we introduce a new approach to GNSs from the aspects of convex …

Rough sets provide an efficient tool for attribute reduction and rule extraction. However,
many important problems in rough set theory, including attribute reduction, are NP-hard and …

This paper studies rough sets via matroidal approaches from a lattice-theoretic viewpoint.
We firstly give a new interpretation of definable sets of Pawlak rough set model, ie, the set of …

Three-way decision theory is an extension of the commonly used binary-decision model with
an added third option. It is originally introduced to explain the three regions of probabilistic …

Covering-based rough sets provide an efficient means of dealing with covering data, which
occur widely in practical applications. Boolean matrix decomposition has frequently been …

Recently, the transformer has exhibited remarkable performance across various
applications, primarily owing to its exceptional capability in capturing global information …

Rough sets were proposed to deal with vagueness and incompleteness of knowledge in
information systems. In this field, there are many optimization issues such as attribute …

The definable set is a core concept in rough set theory. It plays an important role in the
characterizations of rough sets. In this paper, we study the lattice and matroid …