Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
Concept Data Analysis: Theory and Applications
Concept Data Analysis: Theory and Applications
Fast factorization by similarity in formal concept analysis of data with fuzzy attributes
Journal of Computer and System Sciences
Thresholds and shifted attributes in formal concept analysis of data with fuzzy attributes
ICCS'06 Proceedings of the 14th international conference on Conceptual Structures: inspiration and Application
Crisply generated fuzzy concepts
ICFCA'05 Proceedings of the Third international conference on Formal Concept Analysis
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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.