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An interval-based approach for working with fuzzy numbers

  • 3. Fuzzy Sets
  • Conference paper
  • First Online:
Uncertainty in Knowledge Bases (IPMU 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 521))

  • 142 Accesses

Abstract

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.

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References

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Author information

Authors and Affiliations

  1. Dpto. de Ciencias de la Computacion e I.A. Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain

    Antonio Gonzalez & Maria-Amparo Vila

Authors
  1. Antonio Gonzalez
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  2. Maria-Amparo Vila
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Editor information

Bernadette Bouchon-Meunier Ronald R. Yager Lotfi A. Zadeh

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© 1991 Springer-Verlag Berlin Heidelberg

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Gonzalez, A., Vila, MA. (1991). An interval-based approach for working with fuzzy numbers. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Uncertainty in Knowledge Bases. IPMU 1990. Lecture Notes in Computer Science, vol 521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028104

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  • DOI: https://doi.org/10.1007/BFb0028104

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54346-6

  • Online ISBN: 978-3-540-47580-4

  • eBook Packages: Springer Book Archive

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