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

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Artificial Intelligence and Soft Computing – ICAISC 2006 (ICAISC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4029))

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Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Industrial Management, Faculty of Management, University of Tehran, Nasr Bridge, North Kargar St., Tehran, Iran

    Mohammad Reza Mehregan & Hossein Safari

Authors
  1. Mohammad Reza Mehregan
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  2. Hossein Safari
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Editor information

Editors and Affiliations

  1. Department of Artificial Intelligence, Academy of Humanities and Economics, Poland

    Leszek Rutkowski

  2. Institute of Automatics, AGH University of Science and Technology, Al. Mickiewicza 30, PL-30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  3. Department of Electrical Engineering and Computer Sciences, Berkeley Initiative in Soft Computing (BISC), University of California, 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

  4. Department of Electrical Engineering, University of Louisville, 40292, Louisville, KY, U.S.A

    Jacek M. Żurada

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© 2006 Springer-Verlag Berlin Heidelberg

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Mehregan, M.R., Safari, H. (2006). Combination of Fuzzy TOPSIS and Fuzzy Ranking for Multi Attribute Decision Making. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_28

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  • DOI: https://doi.org/10.1007/11785231_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35748-3

  • Online ISBN: 978-3-540-35750-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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