Multi-dimensional Aggregation of Fuzzy Numbers Through the Extension Principle

  • Gaspar Mayor
  • Adolfo R. de Soto
  • Jaume Suñer
  • Enric Trillas
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 95)


In this paper we propose the problem of obtaining a procedure to aggregate fuzzy numbers in such a way that the output is also a fuzzy number. To do this, we use the Zadeh’s Extension Principle applied to multi-dimensional numerical functions which satisfy certain conditions, obtaining multi-dimensional aggregation functions on the lattice of fuzzy numbers. Special attention is given to the case of trapezoidal fuzzy numbers.


Fuzzy Number Aggregation Function Product Order Trapezoidal Fuzzy Number Extension Principle 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Gaspar Mayor
    • 1
  • Adolfo R. de Soto
    • 2
  • Jaume Suñer
    • 1
  • Enric Trillas
    • 3
  1. 1.Dept. Matemàtiques i InformàticaUniversitat de les Illes BalearsPalma de MallorcaSpain
  2. 2.Area de Lenguajes y Sistemas InformáticosUniversidad de LeónLeónSpain
  3. 3.Dpto. Inteligencia ArtificialUniversidad Politécnica de Madrid Campus de MontegancedoBoadilla del Monte, MadridSpain

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