ON THE POLYTOPES OF BELIEF AND PLAUSIBILITY FUNCTIONS

被引：2

作者：

Miranda, P. ^{[1
]}

Combarro, E. F. ^{[2
]}

机构：

[1] Univ Complutense Madrid, Dept Stat & Operat Res, E-28040 Madrid, Spain

[2] Univ Oviedo, Dept Informat, Gijon 33204, Spain

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2010年 / 18卷 / 06期

关键词：

Belief functions; plausibility functions; isometries; invariant measures; adjacency; order polytope; LOWER PROBABILITIES;

D O I：

10.1142/S0218488510006751

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：679 / 690

页数：12

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