Partial Ordering of Hyper-powersets and Matrix Representation of Belief Functions within DSmT

Details Partial Ordering of Hyper-powersets and Matrix Representation of Belief Functions within DSmT Partial Ordering of Hyper-powersets and Matrix Representation of Belief Functions within DSmT

2003-09-24

arxiv.org/abs/math/0309401v1

Published in Proceedings of the Sixth International Conference on Information Fusion, International Society for Information Fu

Mathematics

General Mathematics

13 pages, 6 tables, 2 graphs. Presented to the Sixth International Conference on Information Fusion, Cairns, Queensland, Austr

Scientific paper

In this paper, we examine several issues for ordering or partially ordering
elements of hyper-powertsets involved in the recent theory of plausible,
uncertain and paradoxical reasoning (DSmT or Dezert-Smarandache Theory)
developed by the authors. We will show the benefit of some of these issues to
obtain a nice and useful matrix representation of belief functions.

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