A fuzzy set can be represented by a family of crisp sets using its α-level sets, whereas a
rough set can be represented by three crisp sets. Based on such representations, this paper …

In the research spectrum of rough set, the task of attribute reduction is obtaining a minimal
attribute subset that preserves certain properties of the original data. Cost-sensitive attribute …

In the sequential three-way decisions (S3WD) model, classification accuracy is an important
issue. Based on the idea of minimum misclassification, loss functions have been used to …

Failure mode and effect analysis (FMEA), as a powerful and effective risk assessment tool in
reliability and safety analysis, has been extensively applied in different fields to enhance the …

This paper summarizes various formulations of the standard rough set theory. It
demonstrates how those formulations can be adopted to develop different generalized …

Since introduction of the theory of rough set in early eighties, considerable work has been
done on the development and application of this new theory. The paper provides a review of …

Abstract Three-way decision (3WD) theory has been widely used in solving multi-attribute
decision-making (MADM) problems, however the calculation method for semantic …

The goal of three-way decisions is to divide a universe into three pair-wise disjoint regions
and to act on some or all of these regions using appropriate strategies. The decision …

Multi-attribute group decision making (MAGDM) is a common activity for multi-variable
complicated decision making situations by integrating collective wisdom. Aiming at fusing …

The decision-theoretic rough set (DTRS) can be regarded as a type of cost-sensitive
learning method that incorporates cost functions. Three-way decisions for an object are …