Advertisement

Soft Computing

, Volume 7, Issue 2, pp 89–96 | Cite as

On possibility and probability measures in finite Boolean algebras

  • E. Castiñeira
  • S. Cubillo
  • E. Trillas
Original Paper

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.

Keywords Possibility, Probability, Necessity, Distance 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • E. Castiñeira
    • 1
  • S. Cubillo
    • 2
  • E. Trillas
    • 3
  1. 1.Dept. de Matemática Aplicada. Univ. Politécnica de Madrid 28660 Boadilla del Monte, Madrid, Spain e-mail: ecastineira@fi.upm.esES
  2. 2.Dept. Matemática Aplicada. Univ. Politécnica de Madrid 28660 Boadilla del Monte, Madrid, Spain e-mail: scubillo@fi.upm.esES
  3. 3.Dept. de Inteligencia Artificial. Univ. Politécnica de Madrid 28660 Boadilla del Monte, Madrid, Spain e-mail: etrillas@fi.upm.esES

Personalised recommendations