Consonant continuous belief functions conflicts calculation

Authors:
Jean-Marc Vannobel
Affiliations:
LAGIS, Université Lille1, Sciences et Technologies, Villeneuve d'Ascq Cedex, France
Venue:
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Year:
2010

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Abstract

Much information sources model imprecision by the way of unimodal, consonant and continuous probability density functions (pdfs). We consider here in the framework of belief functions on real numbers, agents of evidence deduced from such pdfs. First are singletons plausibilities in conjunctive and disjunctive combinations proposed to basically merge agents of evidence with consonant focal elements. Second are partial and global conflict calculation methods provided. An application shows the plausibility curves and conflict values obtained in case of combination operations done on Gaussian based agents and at last, an example of conflict management based on an RCR-S adaptive rule of combination is given.