Double-Level Multi-attribute Group Decision-making Method Based on Intuitionistic Fuzzy Theory and Evidence Reasoning

Intuitionistic fuzzy (IF) theory and evidence reasoning (ER) are two commonly used tools in the decision-making process. They have their own advantages and disadvantages in information expression and information aggregation. How to use these two methods' strengths to make up for each other's shortcomings in the decision-making process is a very interesting topic. We refine IF expressions of decision attributes and develop a conversion formula about membership degree and belief degree, which unifies IF theory and ER. Then, we propose a double-level multi-attribute group decision-making method based on IF theory and ER. In the new method, we study the setting and aggregation of weights under double-level attributes, and optimize the process of information aggregation. The proposed method is verified by a detailed case study, which shows its validity and stability. It is expected that this method, which combines IF theory and ER, will become a useful tool for multi-attribute group decision-making.

Automated summary

This study combines intuitionistic fuzzy theory and evidence reasoning method, improves their advantages and disadvantages in information expression and aggregation, proposes a double-level multi-attribute group decision-making method based on intuitionistic fuzzy theory and evidence reasoning, and verifies its effectiveness and stability through a detailed case study. It is expected to become a useful tool for multi-attribute group decision-making.