Different　studies　show　that　human　beings　are　usually　limited　rational,　their　regret　aversion　behavior　is　playing　an　important　role　in　the　process　of　stochastic　decision-making.　However,　such　psychological　behavior　is　neglected　in　current　studies.　The　interval-valued　hesitant　fuzzy　sets　can　more　effectively　depict　the　uncertain　information　than　hesitant　fuzzy　sets.　Therefore,　we　propose　an　interval-valued　hesitant　fuzzy　stochastic　decision-making　approach　based　on　group　satisfaction　degree　and　regret　theory.　Firstly,　based　on　the　score　and　variance　function,　a　novel　group　satisfaction　degree　is　defined,　which　can　fully　reflect　the　overall　level　and　group　divergence.　Secondly,　the　attribute　weights　optimization　model　based　on　the　group　satisfaction　degree　and　the　deviation　of　attribute　values　is　constructed　to　obtain　the　weight　vector　of　attributes.　Then,　the　regret　value　and　the　rejoice　value　are　obtained　by　the　novel　regret-rejoice　function,　and　the　alternatives　are　ranked　according　to　the　total　psychological　perception　values　of　the　decision　maker.　Finally,　we　illustrated　the　application　of　the　developed　method　with　an　emergency　decision-making　problem.　Sensitivity　and　comparative　analyses　are　implemented　to　demonstrate　the　superiority,　stability,　and　validity　of　the　proposed　method　based　on　regret　theory.　©　2020,　Taiwan　Fuzzy　Systems　Association.