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A Set-Valued Approach to Multiple Source Evidence

Dubois, Didier and Prade, Henri A Set-Valued Approach to Multiple Source Evidence. (2017) In: 30th International Conference on Industrial Engineering and Other Applications of Applied Intelligent Systems (IEA/AIE), 27 June 2017 - 30 June 2017 (Arras, France).

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Official URL: https://doi.org/10.1007/978-3-319-60045-1_14

Abstract

This short note studies a multiple source extension of categorical mass functions in the sense of Shafer’s evidence theory. Each subset of possible worlds is associated with a subset of information sources and represents a tentative description of what is known. Analogs of belief, plausibility, commonality functions, valued in terms of subsets of agents or sources, are defined, replacing summation by set union. Set-valued plausibility is nothing but set-valued possibility because it is union-decomposable with respect to the union of events. In a special case where each source refers to a single information item, set-valued belief functions decompose with respect to intersection and are thus multiple source necessity-like function. Connections with Belnap epistemic truth-values for handling multiple source inconsistent information are shown. A formal counterpart of Dempster rule of combination is defined and discussed as to its merits for information fusion.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in volume 10351 of Lecture Notes in Computer Science ISSN : 0302-9743 ISBN: 978-3-319-60045-1 The original PDF is available at: https://doi.org/10.1007/978-3-319-60045-1_14
HAL Id:hal-02619446
Audience (conference):National conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > University of Technology, Sydney - UTS (AUSTRALIA)
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Deposited On:25 May 2020 09:33

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