Abstract
We study the problem of reducing the size of fuzzy concept lattices with hedges by means of factorization. As it has been shown previously for the case of fuzzy concept lattices without hedges, the lattice computed by factorization of a fuzzy concept lattice is isomorphic to a fuzzy concept lattice of some other data table. This means that the factor concept lattice can be computed directly as a concept lattice, whose underlying data table is obtained by a modification of the original data table. There are two known types of such a modification: first, based on factorization of residuated lattices, and second, based on computation of shifted attributes. In this paper, we extend these results to a more general case of concept lattices with hedges.
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This is an extended version of a paper presented at CLA 2008.
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Krupka, M. Factorization of fuzzy concept lattices with hedges by modification of input data. Ann Math Artif Intell 59, 187–200 (2010). https://doi.org/10.1007/s10472-010-9189-7
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DOI: https://doi.org/10.1007/s10472-010-9189-7