标题：Method of hybrid multi-attribute decision-making with risk of interval probability under attribute weight unknown
作者：Liu, Pei-De ;Wang, Ya-Zi
作者机构：[Liu, Pei-De ;Wang, Ya-Zi ] School of Management Science and Engineering, Shandong University of Finance Economic, Ji'nan 250014, China
来源：Kongzhi yu Juece/Control and Decision
摘要：Aiming at hybrid multiple attribute decision-making under the risk of interval probability with weight unknown, a decision approach based on entropy weight and projection theory is presented. Firstly, the transformation from the linguistic variables and uncertain linguistic variables to the trapezoidal fuzzy numbers is established, and the mixed decision data is changed into a single trapezoidal fuzzy number. Then, the risk decision matrix is transformed into certain decision matrix by expectation value, and entropy weight method is used to determine the weights of attributes. On the basis of the attribute weights, the weighted decision matrix is calculated and the alternatives are ranked by relative closeness degree of the projection value from each alternative to the ideal solution and to negative ideal solution. Finally, an application case is given to demonstrate effectiveness of the proposed approach.