Abstract

Multi-context systems (MCS) presented by Brewka and Eiter can be considered as a promising way to interlink decentralized and heterogeneous knowledge contexts. In this paper, we propose preferential multi-context systems (PMCS), which provide a framework for incorporating a total preorder relation over contexts in a multi-context system. In a given PMCS, its contexts are divided into several parts according to the total preorder relation over them, moreover, only information flows from a context to ones of the same part or less preferred parts are allowed to occur. As such, the first ll preferred parts of an PMCS always fully capture the information exchange between contexts of these parts, and then compose another meaningful PMCS, termed the ll-section of that PMCS. We generalize the equilibrium semantics for an MCS to the (maximal) l≤l_{\leq}-equilibrium which represents belief states at least acceptable for the ll-section of an PMCS. We also investigate inconsistency analysis in PMCS and related computational complexity issues.

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