Merging Knowledge Bases in Possibilistic Logic by Lexicographic Aggregation


Autoria(s): Qi, Guilin; Du, Jianfeng; Liu, Weiru; Bell, David
Data(s)

01/07/2010

Resumo

Belief merging is an important but difficult problem in Artificial Intelligence, especially when sources of information are pervaded with uncertainty. Many merging operators have been proposed to deal with this problem in possibilistic logic, a weighted logic which is powerful for handling inconsistency and deal-ing with uncertainty. They often result in a possibilistic knowledge base which is a set of weighted formulas. Although possibilistic logic is inconsistency tolerant, it suffers from the well-known "drowning effect". Therefore, we may still want to obtain a consistent possibilistic knowledge base as the result of merging. In such a case, we argue that it is not always necessary to keep weighted information after merging. In this paper, we define a merging operator that maps a set of possibilistic knowledge bases and a formula representing the integrity constraints to a classical knowledge base by using lexicographic ordering. We show that it satisfies nine postulates that generalize basic postulates for propositional merging given in [11]. These postulates capture the principle of minimal change in some sense. We then provide an algorithm for generating the resulting knowledge base of our merging operator. Finally, we discuss the compatibility of our merging operator with propositional merging and establish the advantage of our merging operator over existing semantic merging operators in the propositional case.

Formato

application/pdf

Identificador

http://pure.qub.ac.uk/portal/en/publications/merging-knowledge-bases-in-possibilistic-logic-by-lexicographic-aggregation(328da3c1-13a2-46e8-9313-cd2745adbb8e).html

http://pure.qub.ac.uk/ws/files/2763745/Merging_knowledge_basis.pdf

Idioma(s)

eng

Publicador

AUAI Press

Direitos

info:eu-repo/semantics/openAccess

Fonte

Qi , G , Du , J , Liu , W & Bell , D 2010 , Merging Knowledge Bases in Possibilistic Logic by Lexicographic Aggregation . in Proceedings of the 26th Conference on Uncertainty in Artificial Intelligence (UAI 2010) . AUAI Press , pp. 275-281 , The 26th Conference on Uncertainty in Artificial Intelligence (UAI 2010) , California , United States , 8-11 July .

Palavras-Chave #/dk/atira/pure/subjectarea/asjc/1700/1702 #Artificial Intelligence #/dk/atira/pure/subjectarea/asjc/2600/2604 #Applied Mathematics
Tipo

contributionToPeriodical