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Chinese Journal of Management Science ›› 2013, Vol. 21 ›› Issue (6): 145-151.

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TOPSIS Decision-Making Method with Three-Parameter Interval Number Based on Entropy Measure

YAN Shu-li1,2, LIU Si-feng1, ZHU Jian-jun1, FANG Zhi-geng1, LIU Jian3   

  1. 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
    2. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China;
    3. School of Ecnomics & Management, Nanjing University of Science and Technology, Nanjing 210094, China
  • Received:2012-02-19 Revised:2012-10-10 Online:2013-12-29 Published:2013-12-23

Abstract: Ordering method of three-parameter interval numbers and decision-making model are studied in this paper. Firstly, a new method of the possibility ranking based on gravity center, midpoint, and the length of three-parameter interval numbers is proposed. Then, the distance formula of three -parameter numbers is established according to the most likely appearing characteristic of gravity center. Furthermore, a new attributes' weight model based on entropy measure of the three-parameter interval numbers is established. Based on the new distance formula and ordering method of three-parameter interval numbers, an uncertain decision making structure is introduced according to the TOPSIS. Finally, numeral example shows the practicality and effectiveness of the proposed method.

Key words: uncertain decision making, three-parameter interval numbers, entropy measure, TOPSIS

CLC Number: