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The aim of this paper is to compare an approach of creating fuzzy concept lattices proposed by Popescu with several other approaches. Particularly, we show that this approach is in some way equivalent to the approach of Krajči called generalized concept lattices. We also give a straightforward generalization of Popescu’s approach to non-homogeneous cases.
We provide a generalization of fuzzy concept lattices based on so-called weak Galois connections. Generalization is that instead of dually isomorphic closure systems we consider dually isomorphic retracts of complete lattices. We also give a generalization of the concept lattices with hedges, proposed by Bělohlávek and Vychodil, based on composition of interior operators with Galois connections.
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