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Generalized Möbius transformation of knowledge bases

Milan Daniel (1998)

Kybernetika

Möbius transformation is an important tool for establishing weights of compositional expert systems rules from conditional weights. In this paper, an applicability of Möbius transformation of rule bases is also extended to knowledge bases with elementary disjunctions in antecedents of rules. This paper contains an existence theorem, an algorithm of the transformation and some open problems which tend to maximal generality as well.

Grounding and extracting modal responses in cognitive agents: 'AND' query and states of incomplete knowledge

Radosław Katarzyniak, Agnieszka Pieczynska-Kuchtiak (2004)

International Journal of Applied Mathematics and Computer Science

In this study an original way of modeling language grounding and generation for a simple set of language responses is presented. It is assumed that the language is used by a cognitive agent and consists of a few modal belief and possibility formulas that are used by this agent to communicate its opinions on the current state of an object. The cognitive agent is asked a simple AND query and the language is tailored to this situation. The agent's knowledge bases are characterized by certain incompleteness...

Guided Local Search for query reformulation using weight propagation

Issam Moghrabi (2006)

International Journal of Applied Mathematics and Computer Science

A new technique for query reformulation that assesses the relevance of retrieved documents using weight propagation is proposed. The technique uses a Guided Local Search (GLS) in conjunction with the latent semantic indexing model (to semantically cluster documents together) and Lexical Matching (LM). The GLS algorithm is used to construct a minimum spanning tree that is later employed in the reformulation process. The computations done for Singular Value Decomposition (SVD), LM and the minimum...

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