In　this　paper,　a　preference　aggregation　method　is　developed　for　ranking　alternative　courses　of　actions　by　combining　preference　rankings　of　alternatives　given　on　individual　criteria　or　by　individual　decision　makers.　In　the　method,　preference　rankings　are　viewed　as　constraints　on　alternative　utilities,　which　are　normalized,　and　linear　programming　models　are　constructed　to　estimate　utility　intervals,　which　are　weighted　and　averaged　to　generate　an　aggregated　utility　interval.　A　simple　yet　pragmatic　interval　ranking　method　is　used　to　compare　and/or　rank　alternatives.　The　final　ranking　is　generated　as　the　most　likely　ranking　with　certain　degrees　of　belief.　Three　numerical　examples　are　examined　to　illustrate　the　potential　applications　of　the　proposed　method.