## On the existence of isotone Galois connections between preorders.(English)Zbl 1444.06003

Glodeanu, Cynthia Vera (ed.) et al., Formal concept analysis. 12th international conference, ICFCA 2014, Cluj-Napoca, Romania, June 10–13, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8478, 67-79 (2014).
Summary: Given a mapping $$f : A \rightarrow B$$ from a preordered set $$A$$ into an unstructured set $$B$$, we study the problem of defining a suitable preordering relation on $$B$$ such that there exists a mapping $$g : B \rightarrow A$$ such that the pair $$(f,g)$$ forms an adjunction between preordered sets.
For the entire collection see [Zbl 1290.68008].

### MSC:

 06A15 Galois correspondences, closure operators (in relation to ordered sets)
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