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On Transitivity of Fuzzy Preference Relations in Ranking Fuzzy Numbers

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Fuzzy Set Theory and Advanced Mathematical Applications

Part of the book series: International Series in Intelligent Technologies ((ISIT,volume 4))

Abstract

In this paper, we first carry out further investigations into relations between several existing transitivity-related notions in ranking alternatives or fuzzy numbers. Then we pay attention to the discussion of transitivity properties of some practical fuzzy preference relations introduced by Dubois and Prade. Finally, we develop an ordering procedure of alternatives under the assumption of some certain weak transitivity.

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Author information

Authors and Affiliations

  1. Fuel Research Unit, Nuclear Research Centre (SCK·CEN), Boeretang 200, B-2400, Mol, Belgium

    Xuzhu Wang & Da Ruan

Authors
  1. Xuzhu Wang
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  2. Da Ruan
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Editor information

Editors and Affiliations

  1. Belgian Nuclear Research Centre (SCK · CEN), Mol, Belgium

    Da Ruan

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© 1995 Springer Science+Business Media New York

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Wang, X., Ruan, D. (1995). On Transitivity of Fuzzy Preference Relations in Ranking Fuzzy Numbers. In: Ruan, D. (eds) Fuzzy Set Theory and Advanced Mathematical Applications. International Series in Intelligent Technologies, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2357-4_6

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  • DOI: https://doi.org/10.1007/978-1-4615-2357-4_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6000-1

  • Online ISBN: 978-1-4615-2357-4

  • eBook Packages: Springer Book Archive

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