Two-stage procedure for items’ ordering upon multiple criteria

Two-stage procedure for items ordering upon multiple criteria according to DM’s preferences is proposed for inverse multicriteria bin packing problem solving. If such a problem arises repeatedly for different set of items, estimated upon the same criteria with the same scales, the STEPCLASS method is applied at the first stage for preliminary multicriteria sorting on the Cartesian product of the criteria’ scales. Then, it allows determining a class for each item from each new set without DM’s participation. In the case of necessity to order more precisely the objects from particular set within the only class, the UniComBOS method is applied at the second stage. It is shown that it is possible to use DM’s preferences extracted at the stage of multicriteria sorting as source information for the UniComBOS method.