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KAIS
2011

A general framework for measuring inconsistency through minimal inconsistent sets

13 years 1 months ago
A general framework for measuring inconsistency through minimal inconsistent sets
Abstract. Hunter and Konieczny explored the relationships between measures of inconsistency for a belief base and the minimal inconsistent subsets of that belief base in several of their papers. In particular, an inconsistency value termed MIVC, defined from minimal inconsistent subsets, can be considered as a Shapley Inconsistency Value. Moreover, it can be axiomatized completely in terms of five simple axioms. MinInc, one of the five axioms, states that each minimal inconsistent set has the same amount of conflict. However, it conflicts with the intuition illustrated by the lottery paradox, which states that as the size of a minimal inconsistent belief base increases, the degree of inconsistency of that belief base becomes smaller. To address this, we present two kinds of revised inconsistency measures for a belief base from its minimal inconsistent subsets. Each of these measures considers the size of each minimal inconsistent subset as well as the number of minimal inconsisten...
Kedian Mu, Weiru Liu, Zhi Jin
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where KAIS
Authors Kedian Mu, Weiru Liu, Zhi Jin
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