Monotone concepts for formal concept analysis

Authors:
Jitender S. Deogun;Jamil Saquer
Affiliations:
Department of Computer Science and Engineering, University of Nebraska, Ferguson Hall, P.O. Box 880115, Lincoln, NE 68588-0115, USA;Department of Computer Science, Southwest Missouri State University, Springfield, MO 65804, USA
Venue:
Discrete Applied Mathematics
Year:
2004

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Abstract

Formal concept analysis has been a topic of interest for about two decades. The mathematical notion of concept has its origin in formal logic. However, the empirical notion of concept has evolved through its use in many different disciplines. In this paper, we generalize the mathematical notion of concept and investigate order-theoretic properties of concept hierarchies for the new notion of concept.