Homomorphisms between fuzzy approximation spaces based on residuated lattice

Two kinds of homomorphisms of fuzzy approximation spaces based on complete residuated lattice are proposed. the homomorphisms are structure-preserving maps in some sense. we also introduce the fuzzy approximation subspaces and investigate their correspondence with the homomorphisms. given a fuzzy equivalence relation,the factor set of the fuzzy approximation space is discussed. © 2014 yuan zhao.