Decision Making under Many Quality Criteria

We mean a quality criterion as a function from a set of alternatives in some chain (i.e. linearly ordered set). Decision making under many quality criteria is considered. We assume that some rule for preferences is fixed and it leads to a partial ordering on the set of alternatives. We study a problem of construction of generalized criterion for models of decision making under many quality criteria. The main result is connected with finding of additional information under which a general criterion is unique up to a natural equivalence.