A characterization of novel rough fuzzy sets of information systems and their application in decision making

A novel concept of alpha-rough fuzzy sets is proposed as a generalization of rough fuzzy sets in information systems. A pair of rough fuzzy approximation operators is presented based on one type of correlation between attributes, namely, alpha-correlative relation. In addition, the properties of alpha-rough fuzzy sets are investigated. Finally, we develop an approach for decision-making problems based on lower and upper alpha-approximations and provide an actual example. (C) 2019 Elsevier Ltd. All rights reserved.