A Novel Approach to Decision-Making Based on a-Rough Fuzzy Sets

Rough fuzzy sets as fuzzy sets under the rough environment can be formed in Pawlak approximation space. a-rough fuzzy sets as the generalization of rough fuzzy sets can be constructed in an information system (IS). This paper studies a-rough fuzzy sets in ISs and gives a novel approach to decision-making based on them. Firstly, a-rough fuzzy sets in an expert information system (EIS) are studied. Then, the preference index of a decision problem based on a-rough fuzzy sets is proposed. Next, a decision-making method based on the preference degree function and the preference index is presented. Moreover, a decision-making algorithm to determine the optimal choice based on ISs is put forward. Finally, a numerical example to show the feasibility of the proposed method is given, and the validity test for this method is carried out. [GRAPHICS]

Automated summary

This paper studies a-rough fuzzy sets in information systems and proposes a novel decision-making method based on them. Firstly, the a-rough fuzzy sets in an expert information system are examined, and a preference index for decision problems based on a-rough fuzzy sets is proposed. Next, a decision-making method based on the preference degree function and the preference index is presented. Additionally, a decision-making algorithm based on information systems is introduced to determine the optimal choice. Finally, a numerical example is provided to demonstrate the feasibility of the proposed method, and a validity test is conducted.