Skip to main content
Springer Nature Link
Log in

A New Model of a Fuzzy Associative Memory

  • Conference paper
  • First Online:
Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9376))

Abstract

We propose a new theory of implicative fuzzy associative memory. This memory is modeled by a fuzzy preorder relation. We give a necessary and sufficient condition on input data that guarantees an effective composition of a fuzzy associative memory, which is moreover, insensitivity to a certain type of noise.

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Cheng, Q., Fan, Z.-T.: The stability problem for fuzzy bidirectional associative memories. Fuzzy Sets Syst. 132, 83–90 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  2. Chung, F.-L., Lee, T.: On fuzzy associative memory with multiple-rule storage capacity. IEEE Trans. Fuzzy Syst. 4, 375–384 (1996)

    Article  Google Scholar 

  3. Junbo, F., Fan, J., Yan, S.: A learning rule for fuzzy associative memories. In: Proc. IEEE Int. Conf. Neural Networks, IEEE World Congr. Computational Intelligence, vol. 7, pp. 4273–4277 (1994)

    Google Scholar 

  4. Kosko, B.: Neural Networks and Fuzzy Systems: A Dynamical Systems Approach to Machine Intelligence. Prentice-Hall (1992)

    Google Scholar 

  5. Lai, H., Zhang, D.: Fuzzy preorder and fuzzy topology. Fuzzy Sets and Syst. 157, 1865–1885 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Perfilieva, I.: Fuzzy relation equations in semilinear spaces. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. CCIS, vol. 80, pp. 545–552. Springer, Heidelberg (2010)

    Google Scholar 

  7. Perfilieva, I.: Systems of fuzzy relation equations in a space with fuzzy preorder. In: Proc. of IFSA-EUSFLAT 2009 Joint Conf., Lisbon, pp. 1601–1605 (2009)

    Google Scholar 

  8. Perfilieva, I.: Finitary solvability conditions for systems of fuzzy relation equations. Inf. Sci. 234, 29–43 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  9. Ruspini, E.H.: A new approach to clustering. Inf. and Cont. 15, 22–32 (1969)

    Article  MATH  Google Scholar 

  10. Sanchez, E.: Resolution of Eigen fuzzy sets equations. Fuzzy Sets and Syst. 1, 69–74 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  11. Steinbuch, K.: Die lernmatrix. Kybernetik 1, 36–45 (1961)

    Article  MATH  Google Scholar 

  12. Sussner, P., Valle, M.-E.: Implicative Fuzzy Associative Memories. IEEE Trans. Fuzzy Systems 14, 793–807 (2006)

    Article  Google Scholar 

  13. Taylor, W.: Eletrical simulation on some nervous system functional activities. Inf. Theory 15, 166–177 (2004)

    Google Scholar 

  14. Valverde, L.: On the structure of F-indistinguishability operators. Fuzzy Sets and Syst. 17, 313–328 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning I, II, III. Inf. Sci. 8–9, 199–257, 301–357, 43–80 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre of Excellence IT4Innovations, Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03, Ostrava 1, Czech Republic

    Irina Perfilieva

Authors
  1. Irina Perfilieva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Irina Perfilieva .

Editor information

Editors and Affiliations

  1. Science and Technology, Japan Advanced Institute of, Nomi, Japan

    Van-Nam Huynh

  2. Science, Dept of Systems Innovation, Osaka University,Graduate School of, Osaka, Japan

    Masahiro Inuiguchi

  3. Université de Technologie de Compiègne, Compiègne, France

    Thierry Demoeux

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Perfilieva, I. (2015). A New Model of a Fuzzy Associative Memory. In: Huynh, VN., Inuiguchi, M., Demoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2015. Lecture Notes in Computer Science(), vol 9376. Springer, Cham. https://doi.org/10.1007/978-3-319-25135-6_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-25135-6_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25134-9

  • Online ISBN: 978-3-319-25135-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation