Associativity in combination of belief functions; a derivation of minC combination |
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Authors: | M. Daniel |
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Affiliation: | (1) Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vodárenskou věží 2, CZ-182 07 Praha 8, Czech Republic. e-mail: milan.daniel@cs.cas.cz; milan.daniel@becherovka.cz, CZ |
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Abstract: | The nature of a contradiction (conflict) between two belief functions is investigated. Alternative ways of distributing the contradiction among nonempty subsets of frame of discernment are studied. The paper employes a new approach to understanding contradictions and introduces an original notion of potential contradiction. A method of an associative combination of generalized belief functions – minC combination and its derivation – is presented as part of the new approach. A proportionalization of generalized results is suggested as well. RID="*" ID="*" Support by Grant No. 1030803 of the GA AV ČR is acknowledged. I am grateful to Philippe Smets for a fruitful discussion on the topic. |
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Keywords: | Belief function, Dempster-Shafer theory, Contradiction, Conflict, minC combination |
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