Combination of Fuzzy TOPSIS and Fuzzy Ranking for Multi Attribute Decision Making

  • Mohammad Reza Mehregan
  • Hossein Safari
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4029)


TOPSIS is a multiple criteria method to identify solutions from a finite set of alternatives based upon simultaneous minimization of distance from an ideal positive point and maximization of distance from a negative point. Owing to vague concepts frequently represented in decision data, the crisp value is inadequate to model real-life situations. In this paper, the scoring of each alternative and the weight of each criterion are described by linguistic terms which can be expressed in triangular fuzzy numbers. Then, the ratings and weights assigned by decision makers are averaged and normalized into a comparable scale. A coefficient of variation is defined to determine the ranking order of alternatives by calculating the mean value and standard deviation. A numerical example demonstrates the feasibility of the proposed method.


Fuzzy Number Triangular Fuzzy Number Fuzzy Decision Matrix Fuzzy Ranking Multi Attribute Decision 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Mohammad Reza Mehregan
    • 1
  • Hossein Safari
    • 1
  1. 1.Department of Industrial Management, Faculty of ManagementUniversity of TehranTehranIran

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