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On the Conflict Measures Agreed with the Combining Rules

P. 172–180.
Lepskiy A.

The conflict measures induced by the conjunctive and disjunctive combining rules are studied in this paper in the framework of evidence theory. The coherence of conflict measures with combining rules is introduced and studied. In addition, the structure of conjunctive and disjunctive conflict measures is studied in the paper. In particular, it is shown that the metric and entropy components can be distinguished in such measures. Moreover, these components are changed differently after combining of the bodies of evidence.

Language: English
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Keywords: combining rulesconflict measureEvidence theory
Publication based on the results of:
Modern context of decision making and data analysis methods: human factor, uncertainty, risks, network models, big data (2018)

In book

Belief Functions: Theory and Applications 5th International Conference, BELIEF 2018, Compiègne, France, September 17-21, 2018, Proceedings
Vol. 11069. , Springer, 2018.
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The paper introduces and discusses a family of conjunctive information aggregation operators within the framework of evidence theory based on the use of copulas and t-norms. Such operators allow modeling the dependence of information sources and aggregating many sources. It is shown that the introduced operators will satisfy to a certain extent the general requirements (desirable properties) imposed on the rules of combination ...
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This paper is devoted to modern approaches to the estimation of external conflict in the theory of evidence based on axioms. The conflict measure is defined on the set of beliefs obtained from several sources of information. It is shown that the conflict measure should be a monotone set function with respect to sets of ...
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Lepskiy A., , in: Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13).: P., Beijing, Amsterdam: Atlantis Press, 2013. P. 355–362.
The conflict measure and index of decreasing of igno-rance in frame of Dempster-Shafer theory are intro-duced. Those functionals are analyzed on the bodies of evidences of special type. It is shown that the great correlation between the bodies of evidence is a sufficient condition of decreasing of ignorance after the applying of combining rule. The ...
Added: September 22, 2013
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