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

  • Vincenzo Cutello
  • Javier Montero
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 51)


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.


Preference Relation Binary Relation Utility Theory Intelligent Agent Strict Preference 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Vincenzo Cutello
    • 1
  • Javier Montero
    • 2
  1. 1.Dept. of Math. and C.S.University of CataniaCataniaItaly
  2. 2.Dept. of Statistics and O.R.Complutense UniversityMadridSpain

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