Derived family names: Łukaszewski, Łukaszewicz/Łukasiewicz/Lukashevich, Lukash (as transliterated from Ukrainian and Belarusian), Lukashenko(Ukr.)/Lukashenka(Bel.)
Those most popular in the literature are three-valued (e.g., Łukasiewicz's and Kleene's, which accept the values "true", "false", and "unknown"), the finite-valued with more than three values, and the infinite-valued, such as fuzzy logic and probability logic.