Method and Applications for Multiple Attribute Decision-Making Based on Converting Triangular Fuzzy Numbers into Connection Numbers

  • Qing Shen
  • Yunliang JiangEmail author
  • Xiongtao Zhang
  • Jing Fan
  • Yong Liu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10092)


When assessment information and preference information about alternatives are expressed through triangular fuzzy numbers, those numbers can be converted into identity-discrepancy-contrary connection numbers. Furthermore, multiple attribute decision-making is conducted using connection mathematics theory. The method is simple when attribute weights are unknown and it can both take full advantage of the valuator’s fuzzy information and satisfy the decision-maker’s preferences. Objective and reasonable fuzzy decision-making is accomplished under the precondition of avoiding the complex process of computing weights and identifying false decision-making caused by using the linear weighted sum model. The decision-making result using this method to solve a partner selection problem in virtual enterprises is similar to that of an established method based on expected values.


Fuzzy multiple attribute decision-making Triangular fuzzy number Identity-Discrepancy-Contrary (IDC) connection number Weight Virtual enterprise 



This work was partly supported by National Natural Science Foundation of China (61370173, U1509210).


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Qing Shen
    • 1
  • Yunliang Jiang
    • 1
    Email author
  • Xiongtao Zhang
    • 1
    • 2
  • Jing Fan
    • 1
    • 3
  • Yong Liu
    • 3
  1. 1.School of Information EngineeringHuzhou UniversityHuzhouChina
  2. 2.School of Digital MediaJiangnan UniversityWuxiChina
  3. 3.National Laboratory of Industrial Control TechnologyZhejiang UniversityHangzhouChina

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