An Approach to Linguistic Multiple Attribute Decision Making Based on Superiority Possibility

This paper focuses on the multiple attribute decision making problems with the attribute values being linguistic variables. The decision matrix is normalized by calculating the superiority possibility of the linguistic attribute values to their corresponding positive ideal ones. Furthermore, a mathematical programming model is set up to figure out the attribute weights with the overall values of the alternative being the goals. In addition, the overall values of the alternatives are obtained, based on which the alternatives are ranked. An example is used to illustrate the proposed approach, which is suitable for extensive applications in the end.