✦ LIBER ✦
Approximating the combination of belief functions using the fast Möbius transform in a coarsened frame
✍ Scribed by Thierry Denœux; Amel Ben Yaghlane
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 269 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0888-613X
No coin nor oath required. For personal study only.
✦ Synopsis
A method is proposed for reducing the size of a frame of discernment, in such a way that the loss of information content in a set of belief functions is minimized. This method may be seen as a hierarchical clustering procedure applied to the columns of a binary data matrix, using a particular dissimilarity measure. It allows to compute approximations of the mass functions, which can be combined efficiently in the coarsened frame using the fast M€ o obius transform algorithm, yielding inner and outer approximations of the combined belief function.