A Modified D Numbers’ Integration for Multiple Attributes Decision Making

Abstract

For multiple attributes decision making, D numbers theory has been widely used to deal with uncertain and incomplete information. However, the incomplete information is abandoned in the D numbers’ integration representation. This results in unreasonable conclusions in some real-world applications. To overcome this drawback, this paper proposes an improved D numbers’ integration representation method, by effectively allocating the incomplete information into decision making according to the original value of D numbers. The proposed method is applied to assess the performance of different types of motorcycles. The results show that the proposed method can effectively increase both the accuracy and efficiency of assessment when compared with the original D numbers theory. Keywords: Uncertainty, Incompleteness, MADM, D numbers theory, D numbers’ integration representation