A method of multi-attribute decision making under risk based on interval probability

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.