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
