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Preferences and Decisions under Incomplete Knowledge pp 33–50Cite as

An Extension of the Axioms of Utility Theory Based on Fuzzy Rationality Measures

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 51))

Summary

We present here a (better yet, the problems involved with a) generalization of classical utility theory when basic preferences are stated by means of “rational” fuzzy preference relations. Rationality of fuzzy preference relations will be measured according to general fuzzy rationality measures. A utility function is proposed and introduced by using a “boosting” procedure on the fuzzy preference relations which may assure a linearization of the alternatives, still maintaining or improving rationality.

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Author information

Authors and Affiliations

  1. Dept. of Math. and C.S., University of Catania, V.le A. Doria 6, 95125, Catania, Italy

    Vincenzo Cutello

  2. Dept. of Statistics and O.R., Complutense University, Madrid, Spain

    Javier Montero

Authors
  1. Vincenzo Cutello
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  2. Javier Montero
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Editor information

Editors and Affiliations

  1. Department of Biomathematics and Informatics, Faculty of Veterinary Science, Szent István University, István u. 2, 1078, Budapest, Hungary

    János Fodor

  2. Department of Applied Mathematics, Biometrics and Process Control, University of Gent, Coupure Links 653, 9000, Gent, Belgium

    Bernard De Baets

  3. Case 169, LIP 6 (Paris 6 University), 4 Place Jussieu, 75252, Paris Cedex 05, France

    Patrice Perny

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© 2000 Springer-Verlag Berlin Heidelberg

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Cutello, V., Montero, J. (2000). An Extension of the Axioms of Utility Theory Based on Fuzzy Rationality Measures. In: Fodor, J., De Baets, B., Perny, P. (eds) Preferences and Decisions under Incomplete Knowledge. Studies in Fuzziness and Soft Computing, vol 51. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1848-2_3

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  • DOI: https://doi.org/10.1007/978-3-7908-1848-2_3

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2474-2

  • Online ISBN: 978-3-7908-1848-2

  • eBook Packages: Springer Book Archive

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