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Article Dans Une Revue Journal of Applied Non-Classical Logics Année : 2018

On the measure of conflicts: an argumentation based framework

Résumé

An important issue in the management of knowledge-based systems is the handling of in- consistency. This problem has recently been attracting a lot of attention from Artificial Intelligence community. When inconsistency occurs in a knowledge base, there are mainly two ways to deal with it; we either resolve it or accept inconsistency and cope with it. This paper tackles the problem of evaluating the amount of contradiction in propositional knowledge bases, and provides a new measure of conflict based on deductive argumentation theory. Measuring the degree of conflict of a knowledge base can help us to deal with incon- sistencies. Several semantic- and syntax-based approaches have been proposed separately. Given the pivotal role of argumentation in representing and handling inconsistency, in this paper, we use logical argumentation as a way to compute the inconsistency measure for propositional formulae. We show using the complete argumentation tree that our family of inconsistency measures is able to localise the conflict of a formula following its context and allows us to distinguish between formulae. We extend our measure to quantify the degree of inconsistency of a set of formulae and give a general formulation of the inconsistency using some logical properties. We also provide a general formulation of our method in order to quantify the conflict of the whole knowledge base. Finally, we address the problem of restoring consistency using inconsistency measures
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Dates et versions

hal-01822908 , version 1 (25-06-2018)

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Badran Raddaoui. On the measure of conflicts: an argumentation based framework. Journal of Applied Non-Classical Logics, 2018, 28 (2-3), pp.240 - 259. ⟨10.1080/11663081.2018.1457255⟩. ⟨hal-01822908⟩
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