On the complexity of propositional knowledge base revision, updates, and counterfactuals
Artificial Intelligence
Two Information Measures for Inconsistent Sets
Journal of Logic, Language and Information
A Local Approach to Reasoning under Incosistency in Stratified Knowledge Bases
ECSQARU '95 Proceedings of the European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty
Weakening conflicting information for iterated revision and knowledge integration
Artificial Intelligence - Special issue on logical formalizations and commonsense reasoning
Logical comparison of inconsistent perspectives using scoring functions
Knowledge and Information Systems
Measuring inconsistency in knowledgebases
Journal of Intelligent Information Systems
Analysing inconsistent first-order knowledgebases
Artificial Intelligence
Measuring Inconsistency for Description Logics Based on Paraconsistent Semantics
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Merging stratified knowledge bases under constraints
AAAI'06 Proceedings of the 21st national conference on Artificial intelligence - Volume 1
Preferred subtheories: an extended logical framework for default reasoning
IJCAI'89 Proceedings of the 11th international joint conference on Artificial intelligence - Volume 2
Quantifying information and contradiction in propositional logic through test actions
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
Weakening conflicting information for iterated revision and knowledge integration
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Measuring conflict and agreement between two prioritized belief bases
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Measuring inconsistency in probabilistic knowledge bases
UAI '09 Proceedings of the Twenty-Fifth Conference on Uncertainty in Artificial Intelligence
On the measure of conflicts: Shapley Inconsistency Values
Artificial Intelligence
A general framework for measuring inconsistency through minimal inconsistent sets
Knowledge and Information Systems
Measuring and repairing inconsistency in probabilistic knowledge bases
International Journal of Approximate Reasoning
A Syntax-based approach to measuring the degree of inconsistency for belief bases
International Journal of Approximate Reasoning
Introduction to inconsistency tolerance
Inconsistency Tolerance
Approaches to measuring inconsistent information
Inconsistency Tolerance
Measuring inconsistency in requirements specifications
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Measuring the blame of each formula for inconsistent prioritized knowledge bases
Journal of Logic and Computation
From inconsistency handling to non-canonical requirements management: A logical perspective
International Journal of Approximate Reasoning
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A number of proposals have been proposed for measuring inconsistency for knowledge bases. However, it is rarely investigated how to incorporate preference information into inconsistency measures. This paper presents two approaches to measuring inconsistency for stratified knowledge bases. The first approach, termed the multi-section inconsistency measure (MSIM for short), provides a framework for characterizing the inconsistency at each stratum of a stratified knowledge base. Two instances of MSIM are defined: the naive MSIM and the stratum-centric MSIM. The second approach, termed the preference-based approach, aims to articulate the inconsistency in a stratified knowledge base from a global perspective. This approach allows us to define measures by taking into account the number of formulas involved in inconsistencies as well as the preference levels of these formulas. A set of desirable properties are introduced for inconsistency measures of stratified knowledge bases and studied with respect to the inconsistency measures introduced in the paper. Computational complexity results for these measures are presented. In addition, a simple but explanatory example is given to illustrate the application of the proposed approaches to requirements engineering.