4.5 Article

Concepts reduction in formal concept analysis with fuzzy setting using Shannon entropy

Journal

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s13042-014-0313-6

Keywords

Formal concept analysis; Fuzzy concept lattice; Fuzzy formal concept; Granulations; Levenshtein distance; Shannon entropy

Funding

  1. National Board of Higher Mathematics, Dept. of Atomic Energy, Govt. of India [2/48(11)/2010-RD II/10806]

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In this paper we propose a method for reducing the number of formal concepts in formal concept analysis of data with fuzzy attributes. We compute the weight of fuzzy formal concepts based on Shannon entropy. Further, the number of fuzzy formal concepts is reduced at chosen granulation of their computed weight. We show that the results obtained from the proposed method are in good agreement with Levenshtein distance method and interval-valued fuzzy formal concepts method but with less computational complexity.

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