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Full-Text Articles in Physical Sciences and Mathematics
Reasoning With Inconsistencies In Hybrid Mknf Knowledge Bases, Shasha Huang, Qingguo Li, Pascal Hitzler
Reasoning With Inconsistencies In Hybrid Mknf Knowledge Bases, Shasha Huang, Qingguo Li, Pascal Hitzler
Computer Science and Engineering Faculty Publications
This article is concerned with the handling of inconsistencies occurring in the combination of description logics and rules, especially in hybrid MKNF knowledge bases. More precisely, we present a paraconsistent semantics for hybrid MKNF knowledge bases (called para-MKNF knowledge bases) based on four-valued logic as proposed by Belnap. We also reduce this paraconsistent semantics to the stable model semantics via a linear transformation operator, which shows the relationship between the two semantics and indicates that the data complexity in our paradigm is not higher than that of classical reasoning. Moreover, we provide fixpoint operators to compute paraconsistent MKNF models, each …
Transformation Based Endorsement Systems, Thomas Sudkamp
Transformation Based Endorsement Systems, Thomas Sudkamp
Computer Science and Engineering Faculty Publications
Evidential reasoning techniques classically represent support for a hypothesis by a numeric value or an evidential interval. The combination of support is performed by an arithmetic rule which often requires restrictions to be placed on the set of possibilities. These assumptions usually require the hypotheses to be exhausitive and mutually exclusive. Endorsement based classification systems represent support for the alternatives symbolically rather than numerically. A framework for constructing endorsement systems is presented in which transformations are defined to generate and update the knowledge base. The interaction of the knowledge base and transformations produces a non-monotonic reasoning system. Two endorsement based …