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

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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

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General Mathematics, 94A15, 94A17

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http://salesiana.dossiersoluciones.com/handle/123456789/68661

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309401
 http://arxiv.org/abs/math/0309401
 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

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