Skip to main content
SpringerLink
Log in

A Note on the Equivalence of Coherence and Constrained Coherence

  • Published:
Minds and Machines Aims and scope Submit manuscript

Abstract

Constrained coherence is compared to coherence and its role in the behavioural interpretation of coherence is discussed. The equivalence of these two notions is proven for coherent conditional previsions, showing that the same course of reasoning applies to several similar concepts developed in the realm of imprecise probability theory .

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Crisma, L. (2006). Introduzione alla teoria delle probabilità coerenti. Trieste: Ediz. EUT.

    Google Scholar 

  • de Finetti, B. (1974). Theory of probability. Chichester: Wiley.

    MATH  Google Scholar 

  • Holzer, S. (1985). On coherence and conditional prevision. Bollettino dell’ Unione Matematica Italiana C (6), Serie VI, 4(1), 441–460.

    MathSciNet  MATH  Google Scholar 

  • Pelessoni, R., & Vicig, P. (2005). Uncertainty modelling and conditioning with convex imprecise previsions. International Journal of Approximate Reasoning, 39(2–3), 297–319.

    Article  MathSciNet  MATH  Google Scholar 

  • Pelessoni, R., & Vicig, P. (2009). Williams coherence and beyond. International Journal of Approximate Reasoning, 50(4), 612–626.

    Article  MathSciNet  MATH  Google Scholar 

  • Walley, P. (1991). Statistical reasoning with imprecise probabilities. London: Chapman and Hall.

    Book  MATH  Google Scholar 

  • Williams, P. M. (2007). Notes on conditional previsions. International Journal of Approximate Reasoning, 44(3), 366–383 (Journal version of: Williams, P. M. (1975). Notes on conditional previsions. Research Report, University of Sussex).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Trieste, Trieste, Italy

    Paolo Vicig

Authors
  1. Paolo Vicig
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Paolo Vicig.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vicig, P. A Note on the Equivalence of Coherence and Constrained Coherence. Minds & Machines 26, 303–305 (2016). https://doi.org/10.1007/s11023-015-9387-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11023-015-9387-5

Keywords

Search

Navigation