Skip to main content
Springer Nature Link
Log in

Some Partial Order Relations on a Set of Random Variables

  • Conference paper
  • First Online:
Uncertainty Modelling in Data Science (SMPS 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 832))

  • 639 Accesses

Abstract

Reciprocal relations, i.e. [0, 1]-valued relations Q satisfying \(Q(a,b)+Q(b,a)=1\), provide a convenient tool for expressing the result of the pairwise comparison of a set of alternatives.

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

Similar content being viewed by others

References

  1. De Baets, B., De Meyer, H.: Towards graded and non-graded variants of stochastic dominance. In: Perception-based Data Mining and Decision Making in Economics and Finance, pp. 261–274. Springer (2007)

    Chapter  Google Scholar 

  2. De Baets, B., De Meyer, H.: On the cycle-transitive comparison of artificially coupled random variables. Int. J. Approx. Reason. 47, 306–322 (2008)

    Article  MathSciNet  Google Scholar 

  3. De Baets, B., De Meyer, H., De Schuymer, B., Jenei, S.: Cyclic evaluation of transitivity of reciprocal relations. Soc. Choice Welf. 26, 217–238 (2006)

    Article  MathSciNet  Google Scholar 

  4. De Meyer, H., De Baets, B.: Cycle-free cuts of the reciprocal relation generated by random variables that are pairwisely coupled by a Frank copula. In: Proceedings of the SMPS 2018/BELIEF 2018 Conference (Université de Technologie de Compiègne, 17–21 September, 2018) (2018, submitted)

    Google Scholar 

  5. De Meyer, H., De Baets, B., De Schuymer, B.: On the transitivity of the comonotonic and countermonotonic comparison of random variables. J. Multivar. Anal. 98, 177–193 (2007)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Data Analysis and Mathematical Modelling, Ghent University, Coupure links 653, 9000, Gent, Belgium

    Bernard De Baets

  2. Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Krijgslaan 281 S9, 9000, Gent, Belgium

    Hans De Meyer

Authors
  1. Bernard De Baets
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hans De Meyer
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bernard De Baets .

Editor information

Editors and Affiliations

  1. CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Sébastien Destercke

  2. CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Thierry Denoeux

  3. Department of Statistics and Operational Research and Mathematics Didactics, University of Oviedo, Oviedo, Asturias, Spain

    María Ángeles Gil

  4. Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

    Przemyslaw Grzegorzewski

  5. Department of Stochastic Methods, Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Olgierd Hryniewicz

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

De Baets, B., De Meyer, H. (2019). Some Partial Order Relations on a Set of Random Variables. In: Destercke, S., Denoeux, T., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Uncertainty Modelling in Data Science. SMPS 2018. Advances in Intelligent Systems and Computing, vol 832. Springer, Cham. https://doi.org/10.1007/978-3-319-97547-4_6

Download citation

Publish with us

Policies and ethics