The　hesitant　fuzzy　element　(HFE),　as　an　extension　of　fuzzy　numbers,　has　received　much　attention　and　the　occurrence　probabilities　of　each　membership　in　the　HFEs　are　assumed　to　be　equal,　i.e.,　the　decision　makers　(DMs)　share　the　same　preferences　for　each　element.　Anecdotal　observations　suggest　otherwise.　To　address　this　issue,　the　hesitant　probabilistic　fuzzy　set　(HPFS)　is　proposed,　which　is　more　suitable　for　depicting　the　DMs’　preferences　in　decision　making.　Research　reports　that　psychological　behavior　matters　in　the　decision-making　process.　Consequently,　this　paper　proposes　a　multi-attribute　group　decision　making　method　under　a　hesitant　probabilistic　fuzzy　environment　that　considers　the　DMs’　psychological　state　in　the　decision-making　process.　A　weights　determination　model　is　constructed,　incorporating　objective　decision-making　information　and　the　subjective　preferences　of　the　DMs　based　on　a　score　function　and　the　minimum　relative　entropy　principle.　Finally,　an　established　case　example　is　applied　to　validate　the　applicability　of　the　proposed　method,　and　comparative　analysis　is　also　completed　to　verify　the　validity　of　the　proposed　method.　©　2020