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On the Transitivity of Fuzzy Indifference Relations

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Fuzzy Sets and Systems — IFSA 2003 (IFSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2715))

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Abstract

Transitivity is an essential property in preference modelling. In this work we study this property in the framework of fuzzy preference structures. In particular, we discuss the relationship between the transitivity of a fuzzy large preference relation R and the transitivity of the fuzzy indifference relation I obtained from R by some of the most important generators employed in the literature. We consider different types of transitivity for the fuzzy large preference relation R and identify the strongest type of transitivity of the corresponding fuzzy indifference relation I.

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Author information

Authors and Affiliations

  1. Department of Statistics and O.R., Faculty of Geology, University of Oviedo, Calvo Sotelo s/n, 33071, Oviedo, Spain

    Susana Díaz

  2. Department of Applied Mathematics, Biometrics and Process Control Ghent University, Coupure links 653, B-9000, Gent, Belgium

    Bernard De Baets

  3. Department of Statistics and O.R., University of Oviedo, Nautical School, 33271, Gijón, Spain

    Susana Montes

Authors
  1. Susana Díaz
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  2. Bernard De Baets
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  3. Susana Montes
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Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Taner Bilgiç

  2. Dept. of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, 9000, Gent, Belgium

    Bernard De Baets

  3. Department of Electrical and Electronics Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Okyay Kaynak

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© 2003 Springer-Verlag Berlin Heidelberg

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Díaz, S., De Baets, B., Montes, S. (2003). On the Transitivity of Fuzzy Indifference Relations. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_9

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  • DOI: https://doi.org/10.1007/3-540-44967-1_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40383-8

  • Online ISBN: 978-3-540-44967-6

  • eBook Packages: Springer Book Archive

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