Real-world　decision-making　problems　are　usually　defined　under　uncertain　contexts　due　to　their　complexity.　In　such　situations,　the　psychological　behavior　of　decision　makers　is　often　ignored,　and　it　is　assumed　that　they　can　provide　accurate　knowledge　despite　of　being　in　a　context　defined　as　‘uncertain’.　Such　assumptions　are　not　realistic　and　may　bias　final　decisions.　To　overcome　such　problems,　this　paper　aims　to　consider　the　psychological　behavior　of　decision　makers　and　facilitate　preference　modeling　under　uncertainty　in　the　decision-making　process.　It　will　do　so　by　introducing　a　novel　decision-making　model　that　includes　new　bidirectional　projection-based　regret　theory　(RT)　measures　under　a　hesitant　fuzzy　linguistic　term　set　(HFLTS)　environment,　thus　establishing　novel　utility　and　new　regret-rejoice　functions　to　handle　decision-making　situations.　Eventually,　a　supplier　selection　case　study　is　used　to　show　the　performance　of　the　proposed　method,　and　a　fair　comparison　with　two　existing　methods　is　carried　out　to　illustrate　the　advantages　of　our　method.　©　2022　Elsevier　Ltd