Skip to main content
SpringerLink
Log in

On possibility and probability measures in finite Boolean algebras

  • Original Paper
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

 In this paper, we study what possibility and necessity measures are like in a finite Boolean algebra, establishing a classification of possibility measures in this type of algebras. The relation between probability and possibility measures is studied. Some conditions for obtaining probabilities that are coherent with a possibility are given. Lastly, Euclidean distance is used for finding probabilities that are close to a given possibility. Also the closest probability is identified and turns out to be coherent.

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

Author information

Authors and Affiliations

  1. Dept. de Matemática Aplicada. Univ. Politécnica de Madrid 28660 Boadilla del Monte, Madrid, Spain e-mail: ecastineira@fi.upm.es, , , , , , ES

    E. Castiñeira

  2. Dept. Matemática Aplicada. Univ. Politécnica de Madrid 28660 Boadilla del Monte, Madrid, Spain e-mail: scubillo@fi.upm.es, , , , , , ES

    S. Cubillo

  3. Dept. de Inteligencia Artificial. Univ. Politécnica de Madrid 28660 Boadilla del Monte, Madrid, Spain e-mail: etrillas@fi.upm.es, , , , , , ES

    E. Trillas

Authors
  1. E. Castiñeira
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Cubillo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Trillas
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

RID="*"

ID="*" Research funded by CICYT (Spain) under projects PB98-1379-C02-02 and TIC00-1420.

Authors wish to thank an anonymous referee whose comments and information helped them to improve this paper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Castiñeira, E., Cubillo, S. & Trillas, E. On possibility and probability measures in finite Boolean algebras. Soft Computing 7, 89–96 (2002). https://doi.org/10.1007/s00500-002-0176-8

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-002-0176-8

Search

Navigation