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Title: Multialgebraic Systems in Information Granulation
Authors: Kagramanyan, Alexander
Mashtalir, Vladimir
Shlyakhov, Vladislav
Keywords: granular computing
Issue Date: 2008
Publisher: Institute of Information Theories and Applications FOI ITHEA
Abstract: In different fields a conception of granules is applied both as a group of elements defined by internal properties and as something inseparable whole reflecting external properties. Granular computing may be interpreted in terms of abstraction, generalization, clustering, levels of abstraction, levels of detail, and so on. We have proposed to use multialgebraic systems as a mathematical tool for synthesis and analysis of granules and granule structures. The theorem of necessary and sufficient conditions for multialgebraic systems existence has been proved.
ISSN: 1313-0463
Appears in Collections:Volume 15 Number 1

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