On possible generalization of fuzzy concept lattices using dually isomorphic retracts

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.