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A Fuzzy Approach for Approximating Formal Concepts

Part of the Lecture Notes in Computer Science book series (LNAI,volume 2005)

Abstract

In this paper we present a new approach for approximating concepts in the framework of formal concept analysis. We investigate two different problems. The first, given a set of features B (or a set of objects A), we are interested in finding a formal concept that approximates B (or A). The second, given a pair (A,B), where A is a set of objects and B is a set of features, we are interested in finding a formal concept that approximates (A,B). We develop algorithms for implementing the approximation techniques presented. The techniques developed in this paper use ideas from fuzzy sets. The approach we present is different and simpler than existing approaches which use rough sets.

This research was supported in part by the Army Research Office, Grant No. DAAH04-96-1-0325, under DEPSCoR program of Advanced Research Projects Agency, Department of Defense.

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Saquer, J., Deogun, J.S. (2001). A Fuzzy Approach for Approximating Formal Concepts. In: Ziarko, W., Yao, Y. (eds) Rough Sets and Current Trends in Computing. RSCTC 2000. Lecture Notes in Computer Science(), vol 2005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45554-X_32

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  • DOI: https://doi.org/10.1007/3-540-45554-X_32

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  • Publisher Name: Springer, Berlin, Heidelberg

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  • Online ISBN: 978-3-540-45554-7

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