Affiliations: Soft Science Research Base of Private Higher Education in Shandong province, Shandong Yingcai University, Jinan, Shandong Province, China | School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong Province, China
Abstract: This paper investigates the multi-attribute decision making (MADM) problems under risk based on the interval probability in which the attribute values take the form of uncertain linguistic variables and the attribute weights are crisp numbers. Based on the probability theory and the projection theory, a decision making method is proposed. Firstly, based on the projection method, the optimization model is constructed, and the optimal closeness degree is calculated. Then, based on the optimal closeness degree, the order of the alternatives can be ranked. Finally, an illustrative example is provided to demonstrate the steps and verify the effectiveness of this method.
Keywords: Interval probability, uncertain linguistic variables, projection method, the optimization closeness degree, multi-attribute decision making (MADM) under risk
