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ISIPTA
1999
IEEE
117views Mathematics» more  ISIPTA 1999»
9 years 3 months ago
Towards a Unified Theory of Imprecise Probability
Belief functions, possibility measures and Choquet capacities of order 2, which are special kinds of coherent upper or lower probability, are amongst the most popular mathematical...
Peter Walley
ISIPTA
1999
IEEE
169views Mathematics» more  ISIPTA 1999»
9 years 3 months ago
Dempster-Belief Functions Are Based on the Principle of Complete Ignorance
This paper shows that a "principle of complete ignorance" plays a central role in decisions based on Dempster belief functions. Such belief functions occur when, in a fi...
Peter P. Wakker
ISIPTA
1999
IEEE
134views Mathematics» more  ISIPTA 1999»
9 years 3 months ago
Conditional Independence Relations in Possibility Theory
The aim of this paper is to survey and brie y discuss various rules of conditioning proposed in the framework of possibility theory as well as various conditional independence rel...
Jirina Vejnarová
ISIPTA
1999
IEEE
9 years 3 months ago
Human Judgment under Sample Space Ignorance
Michael Smithson, Thomas Bartos, Kazuhisa Takemura
ISIPTA
1999
IEEE
9 years 3 months ago
Totally Monotone Core and Products of Monotone Measures
Several approaches to the product of non-additive monotone measures or capacities are discussed and a new approach is proposed. It starts with the Mobius product 2 of totally mono...
Dieter Denneberg
ISIPTA
1999
IEEE
115views Mathematics» more  ISIPTA 1999»
9 years 3 months ago
The Aggregation of Imprecise Probabilities
Two methods are presented for the aggregation of imprecise probabilities elicited from a group of experts in terms of betting rates. In the
Robert Nau
ISIPTA
1999
IEEE
9 years 3 months ago
Examples of Independence for Imprecise Probabilities
In this paper we try to clarify the notion of independence for imprecise probabilities. Our main point is that there are several possible definitions of independence which are app...
Inés Couso, Serafín Moral, Peter Wal...
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