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AMAI
2010
Springer
9 years 9 months ago
Geometry of relative plausibility and relative belief of singletons
The study of the interplay between belief and probability can be posed in a geometric framework, in which belief and plausibility functions are represented as points of simplices i...
Fabio Cuzzolin
ECSQARU
2009
Springer
9 years 9 months ago
Can the Minimum Rule of Possibility Theory Be Extended to Belief Functions?
Abstract. When merging belief functions, Dempster rule of combination is justified only when sources can be considered as independent. When dependencies are ill-known, it is usual ...
Sébastien Destercke, Didier Dubois
ICTAI
2010
IEEE
9 years 9 months ago
Discountings of a Belief Function Using a Confusion Matrix
In this paper, we present an analysis of different approaches relative to the correction of belief functions based on the results given by a confusion matrix. Three different mecha...
Zied Elouedi, Eric Lefevre, David Mercier
IPMU
2010
Springer
9 years 10 months ago
Constructing Multiple Frames of Discernment for Multiple Subproblems
In this paper we extend a methodology for constructing a frame of discernment from belief functions for one problem, into a methodology for constructing multiple frames of discernm...
Johan Schubert
IJAR
2002
109views more  IJAR 2002»
9 years 11 months ago
Belief function independence: I. The marginal case
In this paper, we study the notion of marginal independence between two sets of variables when uncertainty is expressed by belief functions as understood in the context of the tra...
Boutheina Ben Yaghlane, Philippe Smets, Khaled Mel...
IJAR
2002
109views more  IJAR 2002»
9 years 11 months ago
The application of the matrix calculus to belief functions
The mathematics of belief functions can be handled with the use of the matrix notation. This representation helps greatly the user thanks to its notational simplicity and its effi...
Philippe Smets
AI
2000
Springer
9 years 11 months ago
Belief functions and default reasoning
We present a new approach to dealing with default information based on the theory of belief functions. Our semantic structures, inspired by Adams' -semantics, are epsilon-beli...
Salem Benferhat, Alessandro Saffiotti, Philippe Sm...
IJAR
2008
88views more  IJAR 2008»
9 years 11 months ago
Clustering decomposed belief functions using generalized weights of conflict
We develop a method for clustering all types of belief functions, in particular non-consonant belief functions. Such clustering is done when the belief functions concern multiple ...
Johan Schubert
IJAR
2008
177views more  IJAR 2008»
9 years 11 months ago
Defining belief functions using mathematical morphology - Application to image fusion under imprecision
We address in this paper the problem of defining belief functions, typically for multi-source classification applications in image processing. We propose to use mathematical morph...
Isabelle Bloch
IJAR
2008
114views more  IJAR 2008»
9 years 11 months ago
A definition of subjective possibility
: Based on the setting of exchangeable bets, this paper proposes a subjectivist view of numerical possibility theory. It relies on the assumption that when an agent constructs a pr...
Didier Dubois, Henri Prade, Philippe Smets
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