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Applications of Plausible, Paradoxical, and Neutrosophical Reasoning for Information Fusion (The Sixth International Conference on Information Fusion)
July 8-11, 2003
Radison Plaza Hotel at the Pier
Cairns, Queensland, Australia

Organizers
Chair: Dr. Jean Dezert, Co-Chair: Dr. Florentin Smarandache; Sponsors: Fusion 2003 Organizers, ONERA (France), University of New Mexico (USA)

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Partial ordering of hyper-powerset and matrix representation of belief function within DSmT framework
by
Jean Dezert, Florentin Smarandache
ONERA (France), UNM (USA)

In this paper we define a partial order on the hyper-power set of generlized frame of discernement and show how such partial order can help to obtain an easy an elegant representation of the relationship (linear transformation through unimodular triangular binary matrix) between the generalized mass function and belief functions in the DSmT framework. This representation is useful for implementation of the combination rule of the DSmT and information fusion problems where strong internal conflict and paradoxes arise.

Date received: February 19, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajx-05.