Title
Inconsistency measurement thanks to mus decomposition.
Abstract
Bearing contradictory knowledge is often unavoidable among multi-agents. Measuring inconsistency degrees of knowledge bases of different agents facilitates the understanding of an agent to her environment. Several semantics or syntax-based approaches have been proposed to quantify inconsistencies. In this paper, we propose a new inconsistency measuring framework based on both minimal unsatisfiable sets and maximal consistent sets. Firstly, we define a graph representation of knowledge bases, based on which we furthermore explore the logical property of the Additivity condition. Then, we show how the structure of the proposed graph representation can be used to discriminate, in a fine-grained way, the responsibility of each formula or a set of formulae for the inconsistency of a knowledge base. Finally, we extend our framework to provide an inconsistency measure for a whole knowledge base. All the proposed measures are shown satisfying the desired properties.
Year
DOI
Venue
2014
10.5555/2615731.2615872
AAMAS
Keywords
Field
DocType
new inconsistency,inconsistency measurement,whole knowledge base,contradictory knowledge,inconsistency degree,knowledge base,proposed graph representation,graph representation,inconsistency measure,additivity condition,proposed measure,mus decomposition
Data mining,Computer science,Theoretical computer science,Artificial intelligence,Classical logic,Knowledge base,Syntax,Graph (abstract data type),Machine learning,Semantics
Conference
Citations 
PageRank 
References 
17
0.81
21
Authors
3
Name
Order
Citations
PageRank
Saïd Jabbour117512.44
Yue Ma2434.34
Badran Raddaoui39315.31