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New method for hybrid multiple attribute decision-making problems with decision maker’s aspiration level

Bengang Gong1,2, Dandan Guo2, and Wenqi Jiang3,*   

  1. 1. School of Management, Fudan University, Shanghai 200433, China;
    2. School of Management Engineering, Anhui Polytechnic University, Wuhu 241000, China;
    3. School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China
  • Online:2017-02-24 Published:2010-01-03


How can we account for decision maker’s aspiration level in multiple attribute decision-making problems? This is a question that has recently gained much scholarly attention. This study draws on the prospect theory and the Dempster–Shafer theory to propose a method that can resolve this issue. First, the precise and interval numbers and linguistic labels are compared, and then, the decision matrix is transformed into a prospect decision matrix on the basis of decision maker’s aspiration level. Second, the Dempster–Shafer theory is applied to aggregate the prospect values of all alternatives on each attribute using their prospect belief intervals. Third, the orders of alternatives are obtained for all decision methods by comparing prospect belief intervals. Final, the effectiveness and feasibility of the proposed method are demonstrated by using an illustrative example.