Partial Ordering of Hyper-powersets and Matrix Representation of Belief Functions within DSmT
General Mathematics
2007-05-23 v1
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.
Cite
@article{arxiv.math/0309401,
title = {Partial Ordering of Hyper-powersets and Matrix Representation of Belief Functions within DSmT},
author = {Jean Dezert and Florentin Smarandache},
journal= {arXiv preprint arXiv:math/0309401},
year = {2007}
}
Comments
13 pages, 6 tables, 2 graphs. Presented to the Sixth International Conference on Information Fusion, Cairns, Queensland, Australia, 8-11 July 2003