2023-11-30T02:28:00Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/423602023-08-25T13:18:30Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Miranda Menéndez, Pedro
author
Combarro, Elías F.
2023-06-20T00:18:14Z
2023-06-20T00:18:14Z
2010
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0218-4885
10.1142/S0218488510006751
https://hdl.handle.net/20.500.14352/42360
http://www.worldscinet.com/ijufks/18/1806/S0218488510006751.html
http://www.worldscinet.com
In this paper we study some properties of the polytope of belief functions on a finite referential. These properties can be used in the problem of identification of a belief function from sample data. More concretely, we study the set of isometries, the set of invariant measures and the adjacency structure. From these results, we prove that the polytope of belief functions is not an order polytope if the referential has more than two elements. Similar results are obtained for plausibility functions.
eng
On the polytopes of belief and plausibility functions
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