On the Existence of Right Adjoints for Surjective Mappings between Fuzzy Structures
نویسندگان
چکیده
We continue our study of the characterization of existence of adjunctions (isotone Galois connections) whose codomain is insufficiently structured. This paper focuses on the fuzzy case in which we have a fuzzy ordering ρA on A and a surjective mapping f : 〈A,≈A〉 → 〈B,≈B〉 compatible with respect to the fuzzy equivalences ≈A and ≈B . Specifically, the problem is to find a fuzzy ordering ρB and a compatible mapping g : 〈B,≈B〉 → 〈A,≈A〉 such that the pair (f, g) is a fuzzy adjunction.
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