Skip to main content
SpringerLink
Log in

Fuzzy Implications: Novel Generation Process and the Consequent Algebras

  • Conference paper
Advances in Computational Intelligence (IPMU 2012)

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

Abstract

In this work we present novel methods of generating fuzzy implications from the given ones. We show that these methods lead to various and much richer algebraic structures on the set of all fuzzy implications than obtained in the literature so far.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baczyński, M., Drewniak, J., Sobera, J.: Semigroups of fuzzy implications. Tatra Mt. Math. Publ. 21, 61–71 (2001)

    MathSciNet  MATH  Google Scholar 

  2. Baczyński, M., Jayaram, B.: Fuzzy implications. STUDFUZZ, vol. 231. Springer, Berlin (2008)

    MATH  Google Scholar 

  3. Drewniak, J.: Invariant fuzzy implications. Soft Comput 10, 506–513 (2006)

    Article  MATH  Google Scholar 

  4. Fodor, J.C., Roubens, M.: Fuzzy preference modelling and multicriteria decision support. Kluwer Academic Publishers, Dordrecht (1994)

    MATH  Google Scholar 

  5. Hungerford, T.: Algebra. Springer Science (1973)

    Google Scholar 

  6. Klement, E.P., Mesiar, R., Pap, E.: Triangular norms. Kluwer Academic Publishers, Dordrecht (2000)

    MATH  Google Scholar 

  7. Yager, R.R.: On some new classes of implication operators and their role in approximate reasoning. Inf. Sci. 167, 193–216 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  8. Zadeh, L.A.: Outline of a new approach to the analysis of complex systems and decision process. IEEE Trans. on Syst. Man and Cyber. 3, 28–44 (1973)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Hyderabad, Yeddumailaram, 502 205, India

    Nageswara Rao Vemuri & Balasubramaniam Jayaram

Authors
  1. Nageswara Rao Vemuri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Balasubramaniam Jayaram
    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

Vemuri, N.R., Jayaram, B. (2012). Fuzzy Implications: Novel Generation Process and the Consequent Algebras. 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_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31715-6_39

  • 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