Factorization of residuated lattices

Logic Journal of the IGPL 17 (2):205-223 (2009)
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Abstract

We discuss the problem of factorization of residuated lattices by similarity relations. As the main result, we introduce a natural structure of residuated lattice on factorized residuated lattice. Some consequences are also discussed: the problem of representatives and factor projections, sequential factorization, application to fuzzy sets, application to factorization of concept lattices of data with fuzzy attributes

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