A Fuzzy Approach for Approximating Formal Concepts

Authors:
Jamil Saquer;Jitender S. Deogun
Affiliations:
-;-
Venue:
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
Year:
2000

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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.