Skip to main content
SpringerLink
Log in

On a Reinforced Fuzzy Inclusion and Its Application to Database Querying

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

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 297))

Abstract

This paper introduces a fuzzy inclusion indicator derived from a connective aimed at modulating a fuzzy criterion according to the satisfaction of another one. The idea is to express that one is all the more demanding as to the degree attached to an element x in a set B as this element has a high degree of membership degree to a set A. The use of this reinforced inclusion indicator is illustrated in the context of database querying.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Bosc, P., Pivert, O.: About approximate inclusion and its axiomatization. Fuzzy Sets and Systems 157(11), 1438–1454 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bosc, P., Pivert, O.: On two qualitative approaches to tolerant inclusion operators. Fuzzy Sets and Systems 159(21), 2786–2805 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  3. Bosc, P., Pivert, O.: On a strengthening connective for flexible database querying. In: Proc. of the 20th IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011), Taiwan (2011)

    Google Scholar 

  4. Bosc, P., Pivert, O.: SQLf: a relational database language for fuzzy querying. IEEE Transactions on Fuzzy Systems 3, 1–17 (1995)

    Article  Google Scholar 

  5. Bosc, P., Buckles, B., Petry, F., Pivert, O.: Fuzzy databases. In: Bezdek, J., Dubois, D., Prade, H. (eds.) Fuzzy Sets in Approximate Reasoning and Information Systems, The Handbook of Fuzzy Sets Series, pp. 403–468. Kluwer Academic Publishers, Dordrecht (1999)

    Chapter  Google Scholar 

  6. Bosc, P., Pivert, O.: On four noncommutative fuzzy connectives and their axiomatization. Fuzzy Sets and Systems (2012)

    Google Scholar 

  7. Bouchon-Meunier, B., Laurent, A., Lesot, M.-J., Rifqi, M.: Strengthening fuzzy gradual rules through ”all the more” clauses. In: Proc. of FUZZ-IEEE 2010, pp. 1–7. IEEE (2010)

    Google Scholar 

  8. MacVicar-Whelan, P.J.: Fuzzy sets, the concept of height and the hedge very. IEEE Transactions on Systems, Man, and Cybernetics 8, 507–511 (1978)

    Article  Google Scholar 

  9. Bouchon-Meunier, B., Yao, J.: Linguistic modifiers and imprecise categories. International Journal of Intelligent Systems 7, 25–36 (1992)

    Article  MATH  Google Scholar 

  10. Bosc, P., Dubois, D., HadjAli, A., Pivert, O., Prade, H.: Adjusting the core and/or the support of a fuzzy set - a new approach to fuzzy modifiers. In: FUZZ-IEEE, pp. 1–6. IEEE (2007)

    Google Scholar 

  11. Bouchon-Meunier, B., Dubois, D., Godo, L., Prade, H.: Fuzzy sets and possibility theory in approximate and plausible reasoning. In: Bezdek, J.C., Dubois, D., Prade, H. (eds.) Fuzzy Sets in Approximate Reasoning and Information Systems, pp. 15–190. Kluwer Academic Publishers (1999)

    Google Scholar 

  12. Fodor, J., Yager, R.R.: Fuzzy-set theoretic operators and quantifiers. In: Dubois, D., Prade, H. (eds.) The Handbooks of Fuzzy Sets Series, vol. 1: Fundamentals of Fuzzy Sets, pp. 125–193. Kluwer Academic Publishers, Dordrecht (2000)

    Google Scholar 

  13. Yager, R.R.: An approach to inference in approximate reasoning. International Journal of Man-Machine Studies 13(3), 323–338 (1980)

    Article  MathSciNet  Google Scholar 

  14. Bandler, W., Kohout, L.: Fuzzy power sets and fuzzy implication operators. Fuzzy Sets and Systems 4, 13–30 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  15. Sinha, D., Dougherty, E.R.: Fuzzification of set inclusion: theory and applications. Fuzzy Sets and Systems 55, 15–42 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  16. Kitainik, L.: Fuzzy implication and fuzzy inclusion: a comparative axiomatic study. In: Lowen, R., Roubens, M. (eds.) Fuzzy Logic — State of the Art, pp. 441–451. Kluwer Academic Publishers, Dordrecht (1993)

    Google Scholar 

  17. Türksen, I.B., Kreinovich, V., Yager, R.R.: A new class of fuzzy implications. Axioms of fuzzy implication revisited. Fuzzy Sets and Systems 100, 267–272 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  18. Cornelis, C., van der Donck, C., Kerre, E.: Sinha-Dougherty approach to the fuzzification of set inclusion revisited. Fuzzy Sets and Systems 134, 283–296 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  19. Bosc, P., Legrand, C., Pivert, O.: About fuzzy query processing — the example of the division. In: Proc. of the 8th IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 1999), Seoul, Korea, pp. 592–597 (1999)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Technopole Anticipa, Irisa – Enssat, University of Rennes 1, 22305, Lannion Cedex, France

    Patrick Bosc & Olivier Pivert

Authors
  1. Patrick Bosc
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Olivier Pivert
    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

Bosc, P., Pivert, O. (2012). On a Reinforced Fuzzy Inclusion and Its Application to Database Querying. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances on Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 297. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31709-5_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31709-5_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31708-8

  • Online ISBN: 978-3-642-31709-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation