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On stability of a formal concept

. Annals of Mathematics and Artificial Intelligence, 49 (1): 101--115 (April 2007)

Abstract

Abstract  In this paper we define and analyze stability of a formal concept. A stability index is based on the idea of a dependency in a dataset that can be reconstructed from different parts of the dataset. This idea, underlying various methods of estimatingscientific hypotheses, is used here for estimating concept-based hypotheses. Combinatorial properties of stability indices,algorithmic comlpexity of their computation, as well as their dynamics with arrival of new examples are studied.

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