Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2011
Abstract
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.
Publication Title
Proceedings of the 14th International Conference on Information Fusion, Chicago, IL, USA, 5-8 July 2011
First Page
87
Last Page
94
Language (ISO)
English
Keywords
Belief function, uncertainty measures, specificity, conflict
Recommended Citation
Smarandache, Florentin; Arnaud Martin; and Christophe Osswald. "Contradiction Measures and Specificity Degrees of Basic Belief Assignments." Proceedings of the 14th International Conference on Information Fusion, Chicago, IL, USA, 5-8 July 2011 (2011): 87-94. https://digitalrepository.unm.edu/math_fsp/473
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
