Partial Ordering of Hyper-powersets and Matrix Representation of Belief Functions within DSmT
arXiv:math/0309401
Abstract
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.
13 pages, 6 tables, 2 graphs. Presented to the Sixth International Conference on Information Fusion, Cairns, Queensland, Australia, 8-11 July 2003