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The basic principles of uncertain information fusion. An organised review of merging rules in different representation frameworks.

Dubois, Didier and Liu, Weiru and Ma, Jianbing and Prade, Henri The basic principles of uncertain information fusion. An organised review of merging rules in different representation frameworks. (2016) Information Fusion, 32. 12-39. ISSN 1566-2535

(Document in English)

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Official URL: http://dx.doi.org/10.1016/j.inffus.2016.02.006


We propose and advocate basic principles for the fusion of incomplete or uncertain information items, that should apply regardless of the formalism adopted for representing pieces of information coming from several sources. This formalism can be based on sets, logic, partial orders, possibility theory, belief functions or imprecise probabilities. We propose a general notion of information item representing incomplete or uncertain information about the values of an entity of interest. It is supposed to rank such values in terms of relative plausibility, and explicitly point out impossible values. Basic issues affecting the results of the fusion process, such as relative information content and consistency of information items, as well as their mutual consistency, are discussed. For each representation setting, we present fusion rules that obey our principles, and compare them to postulates specific to the representation proposed in the past. In the crudest (Boolean) representation setting (using a set of possible values), we show that the understanding of the set in terms of most plausible values, or in terms of non-impossible ones matters for choosing a relevant fusion rule. Especially, in the latter case our principles justify the method of maximal consistent subsets, while the former is related to the fusion of logical bases. Then we consider several formal settings for incomplete or uncertain information items, where our postulates are instantiated: plausibility orderings, qualitative and quantitative possibility distributions, belief functions and convex sets of probabilities. The aim of this paper is to provide a unified picture of fusion rules across various uncertainty representation settings.

Item Type:Article
Additional Information:Thanks to SCITEPRESS (Science and Technology Publications) editor. The definitive version is available at http://www.scitepress.org The original PDF is available at: http://www.sciencedirect.com/science/article/pii/S1566253516300069
HAL Id:hal-01484952
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Coventry University (UNITED KINGDOM)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Queen's University Belfast - QUB (UNITED KINGDOM)
Laboratory name:
Deposited By: IRIT IRIT
Deposited On:08 Feb 2017 14:59

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