A multiple attribute decision making method with interval rough numbers based on the possibility degree

Aiming at the interval rough numbers of multiple attribute decision making (MADM) problems, a method of ranking interval rough numbers based on possibility degree is proposed. First, the deviation degree for interval rough numbers is given, and then an optimal model with maximum deviation to solve the attribute weights is set up. Second, a possibility degree formula of interval rough numbers is proposed and then we do some research on it to find out the desirable properties. Simultaneously, an algorithm to rank the interval rough numbers based on possibility degree matrix is presented. Finally, an example is provided to illustrate the application of the proposed models.