Decision Tables with Many-Valued Decisions

Decision tables with many-valued decisions arise often in various applications. In contrast to decision tables with one-valued decisions, in decision tables with many-valued decisions each row is labeled with a nonempty finite set of natural numbers (decisions). If we want to find all decisions corresponding to a row, we deal with the same mathematical object as decision table with one-valued decisions: it is enough to code different sets of decisions by different numbers. However, if we want to find one (arbitrary) decision from the set attached to a row, we have essentially different situation.