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Note on representing attribute reduction and concepts in concept lattice using graphs

Abstract

Mao (Soft Computing 21(24):7293–7311, 2017) claims to make contributions to the study of reduction in attributes in concept lattices by using graph theory. Some of her results could affect development of formal concept analysis; in particular, her three new algorithms for formal concept enumeration promise a lesser time complexity. Unfortunately, as we show, all the three algorithms are incorrect.

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Acknowledgements

The work was supported by Grant No. 15-17899S, “Decompositions of Matrices with Boolean and Ordinal Data: Theory and Algorithms”, of the Czech Science Foundation.

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Correspondence to Jan Konecny.

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Communicated by A. Di Nola.

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Konecny, J. Note on representing attribute reduction and concepts in concept lattice using graphs. Soft Comput 23, 10617–10621 (2019). https://doi.org/10.1007/s00500-019-03904-9

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  • DOI: https://doi.org/10.1007/s00500-019-03904-9

Keywords

  • Clarification
  • Reduction
  • Formal context
  • Graph
  • Formal concept enumeration