Affiliations: [a] Key Lab. of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding, China
| [b] Hebei Branch of China Meteorological Administration Training Centre, China Meteorological Administration, Baoding, China
Correspondence:
[*]
Corresponding author. Junhai Zhai, Key Lab. of Machine Learning and Computational Intelligence, College of
Mathematics and Information Science, Hebei University, Baoding 071002, China. E-mail: [email protected] and Sufang Zhang, Hebei Branch of China Meteorological Administration Training Centre, China Meteorological Administration, Baoding 071000, China. E-mail: [email protected].
Note: [1] The two authors make equal contribution to this paper.
Abstract: Three-way decisions model proposed by Yao gives a semantic interpretation of positive region, negative region and boundary region. This model was developed in the framework of classical rough set, the approached target concept is a crisp set, the employed knowledge is a equivalence relation. In this paper, we extend the three-way decisions model to rough fuzzy set. Specifically, the target concept is extended to a fuzzy set, while the used knowledge is also a equivalence relation. An example is given to illustrate the computation processes of the proposed three-way decisions model. The extended model can deal with the problems described by fuzzy decision tables with symbolic-valued conditional attributes and fuzzy decision attributes.
Keywords: Three-way decisions, rough set, rough fuzzy set, fuzzy set
