Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (12): 2514-2519.doi: 10.3969/j.issn.1001-506X.2012.12.19

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Multi-objective grey situation decision making method based on prospect theory

LIU Yong1, Jeffrey Forrest1,2, ZHAO Huan-huan1, LIU Si-feng1, LIU Jia-shu1   

  1. 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210006, China; 
    2. Mathematics Department, Slippery Rock University of USA, Slippery Rock PA16057, USA
  • Online:2012-12-25 Published:2010-01-03

Abstract:

Aiming at the influence of decisioner’s attitude towards the multiobjective decision, the multi-objective grey situation decision making method based on prospect theory is proposed. Firstly, the “rewarding good and punishing bad” linear transformation operator is used to standardize the original decision making information, and then the positive and negative ideal schemes are determined. According to the prospect theory and grey situation, the prospect value function is defined, and an optimization model is built. Then the optimum weight vector is solved, therefore the comprehensive effect measure matrix is obtained, so that the possibility of interval number is used to sort the situations for each. Finally, an investment decision making example validates the feasibility and effectiveness of the model.

CLC Number: 

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