In　this　study,　a　dual-interval　vertex　analysis　(DIVA)　method　is　developed,　through　incorporating　the　vertex　method　within　an　interval-parameter　programming　framework.　The　developed　DIVA　method　can　tackle　uncertainties　presented　as　dual　intervals　that　exist　in　the　objective　function　and　the　left-　and　right-hand　sides　of　the　modeling　constraints.　An　interactive　algorithm　and　a　vertex　analysis　approach　are　proposed　for　solving　the　DIVA　model.　Solutions　under　an　associated　a-cut　level　can　be　generated　by　solving　a　series　of　deterministic　submodels.　They　can　help　quantify　relationships　between　the　objective　function　value　and　the　membership　grade,　which　is　meaningful　for　supporting　in-depth　analyses　of　tradeoffs　between　environmental　and　economic　objectives　as　well　as　those　between　system　optimality　and　reliability.　A　management　problem　in　terms　of　regional　air　pollution　control　is　studied　to　illustrate　applicability　of　the　proposed　approach.　The　results　indicate　that　useful　solutions　for　planning　the　air　quality　management　practices　have　been　generated.　They　can　help　decision　makers　to　identify　desired　pollution-abatement　strategies　with　minimized　costs　and　maximized　environmental　efficiencies.　(C)　2009　Elsevier　B.V.　All　rights　reserved.