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Application of category theory in the generation of meta-ontologies

Abstract:

Meta-ontologies can be used to define a generic form of meta-concepts, which can be used for the modeling of ontologies and the ontological integration processes also. When there are several ontologies of the same domain, it is possible, from a combination process, to obtain important inputs for the generation of meta-concepts. Moreover, category theory allows defining in a formal way, the structures and the set of data that have common properties. In this article, we apply the category theory, in particular, the definitions of categories and sub-categories, in the process of generating of meta-concepts, as a way for the formalization of the automatic construction of meta-ontologies. The category theory is applied together with a collective intelligence approach based on the Ant Colony Optimization algorithm, during the combination process of multiple ontologies, in order to automate the meta-ontology construction.