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

2003/09/24 by Jean Dezert, Florentin Smarandache
Mathematics · #math.GM #msc:94A15 #msc:94A17

paper · pdf

published as Published in Proceedings of the Sixth International Conference on Information Fusion, International Society for Information Fusion, Cairns, Queensland, Australia, 1230-1238, 8-11 July 2003 · 13 pages, 6 tables, 2 graphs. Presented to the Sixth International Conference on Information Fusion, Cairns, Queensland, Australia, 8-11 July 2003

arxiv created 2003/09/24 · arxiv updated 2009/12/01

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.

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