HAL : hal-00599981, version 2

arXiv : 1109.3700

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International Conference on Information Fusion, Chicago : États-Unis (2011)

Versions disponibles :

v1 (13-06-2011)

v2 (16-09-2011)

Contradiction measures and specificity degrees of basic belief assignments

Florentin Smarandache 1, Arnaud Martin 2, Christophe Osswald 3

(05/07/2011)

In the theory of belief functions, many measures of uncertainty have been introduced. However, it is not always easy to understand what these measures really try to represent. In this paper, we re-interpret some measures of uncertainty in the theory of belief functions. We present some interests and drawbacks of the existing measures. On these observations, we introduce a measure of contradiction. Therefore, we present some degrees of non-specificity and Bayesianity of a mass. We propose a degree of specificity based on the distance between a mass and its most specific associated mass. We also show how to use the degree of specificity to measure the specificity of a fusion rule. Illustrations on simple examples are given.

1 :	University of New Mexico (UNM)
	University of New Mexico
2 :	CORDIAL (IRISA)
	CNRS : UMR6074 – INSA Rennes – Ecole Nationale Supérieure des Sciences Appliquées et de Technologie – Université de Rennes 1
3 :	Extraction et Exploitation de l'Information en Environnements Incertains (E3I2)
	ENSTA Bretagne

Domaine

:

Sciences cognitives/Informatique Informatique/Intelligence artificielle Informatique/Traitement du signal et de l'image Sciences de l'ingénieur/Traitement du signal et de l'image

Mots Clés : Belief function – uncertainty measures – specificity – conflict.

hal-00599981, version 2

http://hal.archives-ouvertes.fr/hal-00599981

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Contributeur : Arnaud Martin <>

Soumis le : Vendredi 16 Septembre 2011, 15:38:48

Dernière modification le : Vendredi 16 Septembre 2011, 21:34:52