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Consensual Processes pp 263–287Cite as

On Consensus in Group Decision Making Based on Fuzzy Preference Relations

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 267))

Abstract

In the process of decision making, the decision makers usually provide inconsistent fuzzy preference relations, and it is unreasonable to get the priority from an inconsistent preference relation. In this paper, we propose a method to derive the multiplicative consistent fuzzy preference relation from an inconsistent fuzzy preference relation. The fundamental characteristic of the method is that it can get a consistent fuzzy preference relation considering all the original preference values without translation. Then, we develop an algorithm to repair a fuzzy preference relation into the one with weak transitivity by using the original fuzzy preference relation and the constructed consistent one. After that, we propose an algorithm to help the decision makers reach an acceptable consensus in group decision making. It is worth pointing out that group fuzzy preference relation derived by using our method is also multiplicative consistent if all individual fuzzy preference relations are multiplicative consistent. Some examples are also given to illustrate our results.

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Author information

Authors and Affiliations

  1. School of Economics and Management, Southeast University, Nanjing, Jiangsu, 211189, China

    Meimei Xia & Zeshui Xu

Authors
  1. Meimei Xia
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  2. Zeshui Xu
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Editor information

Editors and Affiliations

  1. Depto. Ciencias de la Computación e Inteligencia Artificial, Universidad Granada, C/ Periodista Daniel Saucedo Aranda s/n, 18071, Granada, Spain

    Enrique Herrera-Viedma

  2. Departamento de Economía Aplicada, Universidad de Valladolid, Avenida Valle Esgueva 6, 47011, Valladolid, Spain

    José Luis García-Lapresta

  3. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447, Warsaw, Poland

    Janusz Kacprzyk

  4. Fac. Economia Dipto. Informatica e Studi Aziendali, Università di Trento, Via Inama 5, 38100, Trento, Trento, Italy

    Mario Fedrizzi

  5. Department of Political Science and Contemporary History, University of Turku, Turku, Finland

    Hannu Nurmi

  6. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Sławomir Zadrożny

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© 2011 Springer-Verlag Berlin Heidelberg

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Xia, M., Xu, Z. (2011). On Consensus in Group Decision Making Based on Fuzzy Preference Relations. In: Herrera-Viedma, E., García-Lapresta, J.L., Kacprzyk, J., Fedrizzi, M., Nurmi, H., Zadrożny, S. (eds) Consensual Processes. Studies in Fuzziness and Soft Computing, vol 267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20533-0_15

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  • DOI: https://doi.org/10.1007/978-3-642-20533-0_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20532-3

  • Online ISBN: 978-3-642-20533-0

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