The　decision　maker＇s　attitudinal　character　towards　risk　and　the　psychological　aspects　are　critical　factors　of　the　multiple　attribute　decision　making　(MADM)　problems.　In　this　paper,　we　consider　the　attitudinal　character　during　the　whole　decision　making　procedure.　The　reference　points　associated　with　prospect　theory　are　in　the　form　of　interval-valued　intuitionistic　fuzzy　number　(IVIFN)　and　we　assume　the　membership　degree　and　non-membership　degree　of　the　IVIFN　obey　normal　distribution　according　to　the　central　limit　theorem.　We　combine　the　properties　of　normal　distribution　and　the　attitudinal　character　associated　with　the　ordered　weighted　averaging　(OWA)　operator　to　convert　all　the　reference　points　into　crisp　numbers.　We　construct　one　feasible　multiple　objective　optimization　programming　to　obtain　the　optimal　weight　vector　of　the　attributes　by　minimizing　the　deviation　between　the　alternative　and　the　reference　point　corresponding　to　each　alternative.　The　hybrid　weighted　averaging　(HWA)　operator　is　applied　to　aggregate　the　prospect　values　for　each　alternative.　Especially,　we　directly　reorder　the　weighted　prospect　values　considering　their　plus　or　minus,　which　reflects　the　decision-maker＇s　attitudinal　character　towards　risk　as　well.　Finally,　an　illustrative　example　about　group-buying　is　provided　to　show　the　feasibility　of　the　proposed　method.　©　2017　IOS　Press　and　the　authors.　All　rights　reserved.