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2015 | OriginalPaper | Buchkapitel

A Comparison of Plausibility Conflict and of Degree of Conflict Based on Amount of Uncertainty of Belief Functions

verfasst von : Milan Daniel

Erschienen in: Symbolic and Quantitative Approaches to Reasoning with Uncertainty

Verlag: Springer International Publishing

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Abstract

When combining belief functions by conjunctive rules of combination, conflicts often appear. Combination of conflicting belief functions and interpretation of conflicts is often questionable in real applications, thus a series of alternative combination rules was suggested and a series of papers on conflicting belief functions published in last years.

This theoretical contribution presents one of the perspective recent approaches — author’s plausibility conflict — and Harmanec’s approach which stands, unfortunately, aside the recent interest: conflict based on uncertainty measure and Dempster’s rule. Both the approaches are analysed and compared here.

The compared approaches are based on completely different assumptions, thus some of their properties are very different almost counter-intuitive when first look at; on the other hand, they have some analogous properties, which distinguish them from other commonly used approaches to conflict between belief functions.

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Vorheriges Kapitel A Reliably Weighted Collaborative Filtering System

Nächstes Kapitel Weighted Maximum Likelihood for Parameters Learning Based on Noisy Labels in Discrete Hidden Markov Models

Plausibility of singletons is called contour function by Shafer in [23], thus \(Pl{\_\,P}(Bel)\) is a normalization of contour function in fact.

\(Pl\text{- }C_0\) is not a separate measure of conflict in general; it is just a component of \(Pl\text{- }C\).

The information gain \(\mathcal {G}(Bel_1,Bel_2)\) is defined dually in [14].

We can, of course, generalise Harmanec’s \(\mathbb {C}\) by substitution of Dempster’s rule by another rule of combination. But a nature of a such conflict may be substantially different from the nature of \(\mathbb {C}\), thus a new analysis should be done. Analogously we can use instead of \(\mathbb {C}\) Cattaneo’s minimal joint conflict, see [2].

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Titel: A Comparison of Plausibility Conflict and of Degree of Conflict Based on Amount of Uncertainty of Belief Functions
verfasst von: Milan Daniel
Verlag: Springer International Publishing
Buch: Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Print ISBN: 978-3-319-20806-0

Electronic ISBN: 978-3-319-20807-7

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-3-319-20807-7_40

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