Skip to main content
SpringerLink
Log in

L-Fuzzy Context Sequences on Complete Lattices

  • Conference paper
Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 444))

Abstract

This work studies the L-fuzzy context sequences when L is a complete lattice extending the results obtained in previous works with L = [0,1]. To do this, we will use n-ary OWA operators on complete lattices. With the aid of these operators, we will study the different contexts values of the sequence using some new relations. As a particular case, we have the study when \(L=\mathcal{J}([0,1])\). Finally, we illustrate all the results by means of an example.

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. Alcalde, C., Burusco, A., Fuentes-González, R.: A constructive method for the definition of interval-valued fuzzy implication operators. Fuzzy Sets and Systems 153, 211–227 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  2. Alcalde, C., Burusco, A., Fuentes-González, R., Zubia, I.: Treatment of L-fuzzy contexts with absent values. Information Sciences 179(1-2), 1–15 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  3. Alcalde, C., Burusco, A., Fuentes-González, R., Zubia, I.: The use of linguistic variables and fuzzy propositions in the L-Fuzzy Concept Theory. Computers and Mathematics with Applications 62, 3111–3122 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  4. Alcalde, C., Burusco, A., Fuentes-González, R.: The study of fuzzy context sequences. International Journal of Computational Intelligence Systems 6(3), 518–529 (2013)

    Article  Google Scholar 

  5. Alcalde, C., Burusco, A., Fuentes-González, R.: Application of OWA Operators in the L-Fuzzy Concept Analysis. In: Bustince, H., Fernandez, J., Mesiar, R., Calvo, T. (eds.) Aggregation Functions in Theory and in Practise. AISC, vol. 228, pp. 133–146. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  6. Bělohlávek, R.: Fuzzy Galois Connections. Math. Logic Quarterly 45(4), 497–504 (1999)

    Article  MATH  Google Scholar 

  7. Belohlavek, R.: What is a fuzzy concept lattice? II. In: Kuznetsov, S.O., Ślęzak, D., Hepting, D.H., Mirkin, B.G. (eds.) RSFDGrC 2011. LNCS, vol. 6743, pp. 19–26. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  8. Burusco, A., Fuentes-González, R.: The Study of the L-fuzzy Concept Lattice. Mathware and Soft Computing 1(3), 209–218 (1994)

    MATH  MathSciNet  Google Scholar 

  9. Burusco, A., Fuentes-González, R.: Construction of the L-fuzzy Concept Lattice. Fuzzy Sets and Systems 97(1), 109–114 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  10. Burusco, A., Fuentes-González, R.: Concept lattices defined from implication operators. Fuzzy Sets and Systems 114(1), 431–436 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  11. Burusco, A., Fuentes-González, R.: The study of the interval-valued contexts. Fuzzy Sets and Systems 121, 69–82 (2001)

    Article  Google Scholar 

  12. Burusco, A., Fuentes-González, R.: Contexts with multiple weighted values. The International Journal of Uncertainty, Fuzziness and Knowledge-based Systems 9(3), 355–368 (2001)

    Article  MATH  Google Scholar 

  13. Calvo, T., Mesiar, R.: Weighted triangular norms-based aggregation operators. Fuzzy Sets and Systems 137, 3–10 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  14. Calvo, T., Mesiar, R.: Aggregation operators: ordering and bounds. Fuzzy Sets and Systems 139, 685–697 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  15. Djouadi, Y., Prade, H.: Interval-Valued Fuzzy Galois Connections: Algebraic Requirements and Concept Lattice Construction. Fundamenta Informaticae 99(2), 169–186 (2010)

    MATH  MathSciNet  Google Scholar 

  16. Djouadi, Y., Prade, H.: Possibility- theoretic extension of derivation operators in formal concept analysis over fuzzy lattices. FODM 10(4), 287–309 (2011)

    MATH  MathSciNet  Google Scholar 

  17. Fodor, J., Marichal, J.L., Roubens, M.: Characterization of the Ordered Weighted Averaging Operators. IEEE Transactions on Fuzzy Systems 3(2), 236–240 (1995)

    Article  Google Scholar 

  18. Lizasoain, I., Moreno, C.: OWA operators defined on complete lattices. Fuzzy Sets and Systems 224, 36–52 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  19. Medina, J., Ojeda-Aciego, M.: Multi-adjoint t-concept lattices. Information Sciences 180(5), 712–725 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  20. Medina, J.: Multi-adjoint property-oriented concept lattices. Information Sciences 190, 95–106 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  21. Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cibernetics 18, 183–190 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  22. Yager, R.R.: Families of OWA operators. Fuzzy Sets and Systems 59, 125–148 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  23. Wille, R.: Restructuring lattice theory: an approach based on hierarchies of concepts. In: Rival, I. (ed.) Ordered Sets, pp. 445–470. Reidel, Dordrecht-Boston (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. Matemática Aplicada, Escuela Universitaria Politécnica, UPV/EHU Plaza de Europa 1, 20018, San Sebastián, Spain

    Cristina Alcalde

  2. Departamento de Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, 31006, Pamplona, Spain

    Ana Burusco

Authors
  1. Cristina Alcalde
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ana Burusco
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University Montpellier 2, LIRMM - CNRS UMR 5506, 161, Rue Ada, 34392, Montpellier Cedex 5, France

    Anne Laurent

  2. Institute for Human Factors and Technology Management, IAT, University of Stuttgart, Nobelstraße 12, 70569, Stuttgart, Germany

    Oliver Strauss

  3. LIP6, UPMC Univ. Paris 06, CNRS UMR 7606, F-75005, Paris, France

    Bernadette Bouchon-Meunier

  4. Dept. of Information Systems, Iona College, 710 North Ave, 10801, New Rochelle, NY, USA

    Ronald R. Yager

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Alcalde, C., Burusco, A. (2014). L-Fuzzy Context Sequences on Complete Lattices. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 444. Springer, Cham. https://doi.org/10.1007/978-3-319-08852-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08852-5_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08851-8

  • Online ISBN: 978-3-319-08852-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation