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An Axiomatic Approach to the Relational Concepts
Jari Palomäki
355 - 360
10.3233/978-1-61499-472-5-355
Frontiers in Artificial Intelligence and Applications
Volume 272: Information Modelling and Knowledge Bases XXVI
Abstract

In this paper an axiomatic approach to the relational concept theory, denoted by RKC, is presented. This axiomatic approach is based on the intensional containment relation between the under relations of the given relational concept. Also, it is proposed that an algebraic model for RKC is a complete semilattice, where every relational concept as a principal ideal generated by it defines a Boolean algebra.

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