A Fuzzy LMS Neural Network Method for Evaluation of Importance of Indices in MADM

  • Feng Kong
  • Hongyan Liu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4234)


A fuzzy LMS (least-mean-square algorithm) neural network evaluation model, with fuzzy triangular numbers as inputs, is set up to compare the importance of different indices. The model can determine attribute or index weights (importance) automatically so that they are more objectively and accurately distributed. The model also has a strong self-learning ability so that calculations are greatly reduced and simplified. Further, decision maker’s specific preferences for uncertainty, i.e., risk-averse, risk-loving or risk-neutral, are considered in the evaluation model. Hence, our method can give objective results while taking into decision maker’s subjective intensions. Meanwhile, it is simple. A numerical example is given to illustrate the method.


Triangular Fuzzy Number Fuzzy Neural Network Relatively Good Negative Ideal Solution Very Good 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Feng Kong
    • 1
  • Hongyan Liu
    • 1
  1. 1.School of Business AdministrationNorth China Electric Power UniversityBaodingP.R. China

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