Conjunctive Rules in the Theory of Belief Functions and Their Justification Through Decisions Models

Author(s):  
Andrey G. Bronevich ◽  
Igor N. Rozenberg
Author(s):  
Rajendra P. Srivastava ◽  
Mari W. Buche ◽  
Tom L. Roberts

The purpose of this chapter is to demonstrate the use of the evidential reasoning approach under the Dempster-Shafer (D-S) theory of belief functions to analyze revealed causal maps (RCM). The participants from information technology (IT) organizations provided the concepts to describe the target phenomenon of Job Satisfaction. They also identified the associations between the concepts. This chapter discusses the steps necessary to transform a causal map into an evidential diagram. The evidential diagram can then be analyzed using belief functions technique with survey data, thereby extending the research from a discovery and explanation stage to testing and prediction. An example is provided to demonstrate these steps. This chapter also provides the basics of Dempster-Shafer theory of belief functions and a step-by-step description of the propagation process of beliefs in tree-like evidential diagrams.


1985 ◽  
Vol 24 (04) ◽  
pp. 177-180 ◽  
Author(s):  
J. Gouvernet ◽  
M. Caraboeuf ◽  
S. Ayme

SummaryThe method is based on a diagnosis data base, each diagnosis being identified by a list of signs indexed by à rough estimation of their relative frequency. Signs are terms of a tree-structured thesaurus, the relationship child – father being equivalent to implication. Furthermore, any sign is weighted according to the possibility of it being a variant characteristic rather than a pathological one. The patient’s description being provided, the credibility of each diagnosis is computed according to Glenn Shafer’s theory of belief functions, and the most plausible diagnoses are proposed for the clinician’s choice. The results obtained during a validation phase were satisfying so that we have been routinely using the model for assistance in diagnosing uncommon genetic syndromes observed in our hospital or submitted by other centers.


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