L-Chu correspondences and Galois functor

This paper provides a categorical view on L-fuzzy concept lattices inspired by paper [8]. Hideo Mori proved that a category of Chu correspondences between classical formal contexts called ChuCors is equal to a category of join preserving mappings between complete lattices called Slat. Mori proved the equality by introducing a Galois functor from ChuCors to Slat, that is an equivalence functor. We show that the Galois functor for L-fuzzy extension of the category ChuCors is not the equivalence functor to Slat.