Abstract
Although ordinal data occur in high frequency, a structure theory for ordinal data exists only in fragments. For a systematic development of such a theory, we propose a basic notion of ordinal structures (ordinal contexts). Since interpretations of data are always based on concepts and their relations, we assign to each ordinal structure a canonical conceptual structure modelled by methods of formal concept analysis. This allows, in particular, to develop a substantial theory of ordinal dimensionality. The theoretical results are demonstrated by examples.
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© 1992 Springer-Verlag Berlin · Heidelberg
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Strahringer, S., Wille, R. (1992). Towards a Structure Theory for Ordinal Data. In: Schader, M. (eds) Analyzing and Modeling Data and Knowledge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46757-8_14
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DOI: https://doi.org/10.1007/978-3-642-46757-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54708-2
Online ISBN: 978-3-642-46757-8
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