An interval-based approach for working with fuzzy numbers

  • Antonio Gonzalez
  • Maria-Amparo Vila
3. Fuzzy Sets
Part of the Lecture Notes in Computer Science book series (LNCS, volume 521)


An interval-based approach for working with fuzzy numbers is presented. This approach is based on the use of a ranking function calling the average value. This ranking function can be used in different processes associated to fuzzy numbers. Processes as ranking methods, indifference relations, operations on fuzzy numbers and distance measures, has been considered. An interpretation for each one of these processes, as an equivalent process on real intervals representing the mean value of the fuzzy numbers involved, has been obtained. Moreover, from this interpretation the above processes may be visualized through an useful graphic representation.


Fuzzy Numbers expectation interval analysis ranking function 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Antonio Gonzalez
    • 1
  • Maria-Amparo Vila
    • 1
  1. 1.Dpto. de Ciencias de la Computacion e I.A. Facultad de CienciasUniversidad de GranadaGranadaSpain

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