Skip to main content
SpringerLink
Log in
Book cover

International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems

IPMU 1990: Uncertainty in Knowledge Bases pp 193–202Cite as

An interval-based approach for working with fuzzy numbers

  • 3. Fuzzy Sets
  • Conference paper
  • First Online:

  • 142 Accesses

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

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.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bortolan, G. and Degani, R. (1985) A review of some methods for ranking fuzzy subsets, Fuzzy Sets and Systems 15, 1–19.

    Article  Google Scholar 

  2. Campos, L.M. and Gonzalez A. (1989) A subjective approach for ranking fuzzy numbers, Fuzzy Sets and Systems 29, 145–153.

    Article  Google Scholar 

  3. Campos, L. and Gonzalez, A. Further contributions to the study of the average value for ranking fuzzy numbers, to appear in International Journal of Approximate Reasoning.

    Google Scholar 

  4. Choquet, G. (1953) Theory of capacities, Ann. Inst. Fourier 5, 263–272.

    Google Scholar 

  5. Dubois D. and Prade H. (1987) The mean value of a fuzzy number, Fuzzy Sets and Systems 24, 279–300.

    Article  Google Scholar 

  6. Gonzalez, A. (1990) A study of the ranking function approach through mean values, Fuzzy Sets and Systems 35, 29–41.

    Article  Google Scholar 

  7. Moore, R. (1966) Interval analysis, Prentice Hall, Englewood Cliffs, N.J.

    Google Scholar 

Download references

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
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Maria-Amparo Vila
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

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

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54346-6

  • Online ISBN: 978-3-540-47580-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation