  The paper addresses an approach to ordinal assessment of alternatives based
on assignment of elements into an ordinal scale. Basic versions of the
assessment problems are formulated while taking into account the number of
levels at a basic ordinal scale [1,2,...,l] and the number of assigned elements
(e.g., 1,2,3). The obtained estimates are multisets (or bags) (cardinality of
the multiset equals a constant). Scale-posets for the examined assessment
problems are presented. 'Interval multiset estimates' are suggested. Further,
operations over multiset estimates are examined: (a) integration of multiset
estimates, (b) proximity for multiset estimates, (c) comparison of multiset
estimates, (d) aggregation of multiset estimates, and (e) alignment of multiset
estimates. Combinatorial synthesis based on morphological approach is examined
including the modified version of the approach with multiset estimates of
design alternatives. Knapsack-like problems with multiset estimates are briefly
described as well. The assessment approach, multiset-estimates, and
corresponding combinatorial problems are illustrated by numerical examples.
