Skip to main content
SpringerLink
Log in

Fuzzy Setting: Fuzziness of General Information

  • Conference paper
Book cover Advances in Computational Intelligence (IPMU 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 298))

  • 824 Accesses

Abstract

The aim of this paper is to give, on the fuzzy setting, a definition of fuzziness for the information without probability or fuzzy measure (general information).

Moreover, we present a class of measures of fuzziness, solving a system of functional conditions coming from the properties of fuzziness.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Aczél J.: Functional equations and their applications. Academic Press (1966)

    Google Scholar 

  2. Ebanks, B.R.: On measures of fuzziness and Their representations. J. Math. An. Appl. 94, 24–37 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  3. Benvenuti, P., Vivona, D., Divari, M.: A General Information for Fuzzy Sets. In: Bouchon-Meunier, B., Zadeh, L.A., Yager, R.R. (eds.) IPMU 1990. LNCS, vol. 521, pp. 307–316. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  4. Couso, I., Gil, P., Montes, S.: Measures of fuzziness and Information Theory. In: Proc. IPMU 1996, pp. 501–505 (1996)

    Google Scholar 

  5. DeLuca, A., Termini, S.: A definition of non probabilistic entropy in the setting of fuzzy sets theory. Inform. and Control 20, 301–312 (1972)

    Article  MathSciNet  Google Scholar 

  6. Klir, G.J., Folger, T.A.: Fuzzy sets, Uncertainty, and Information. Prentice-Hall International editions (1988)

    Google Scholar 

  7. Kosko, B.: Fuzzy Thinking: The New Science of Fuzzy Logic, Hyperion Eds. (1993)

    Google Scholar 

  8. Zadeh, L.A.: Fuzzy sets. Inf. and Control 8, 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dip. SBAI, Sapienza Universitá di Roma, v.A. Scarpa n.16, 00161, Roma, Italy

    Doretta Vivona

  2. Sapienza Universitá di Roma, v.Borgorose n.15, 00189, Roma, Italy

    Maria Divari

Authors
  1. Doretta Vivona
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Maria Divari
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco  & Benedetto Matarazzo  & 

  2. Université Pierre et Marie Curie - Paris6, CNRS UMR 7606, DAPA, LIP6 8, rue du Capitaine Scott, F-75015, Paris, France

    Bernadette Bouchon-Meunier

  3. Dip. Matematica e Informatica, Università di Perugia, 06123, Perugia, Italy

    Giulianella Coletti

  4. Department of Computer and Management Science, University of Trento, Via Inama 5, 38122, Trento, Italy

    Mario Fedrizzi

  5. Machine Intelligence Institute, IONA College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Vivona, D., Divari, M. (2012). Fuzzy Setting: Fuzziness of General Information. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31715-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31714-9

  • Online ISBN: 978-3-642-31715-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation