This　paper　deals　with　the　problem　arising　from　a　supply　chain　with　a　single　supplier　and　multiple　retailers　which　do　joint　replenishment　by　using　EOQ　model.　The　aim　of　this　paper　is　to　investigate　a　joint　replenishment　interval-valued　EOQ　model　without　shortage　among　the　retailers　whose　demands　are　intervals,　the　obtained　retailers’　order　quantities　and　the　coalitions’　inventory　costs　are　intervals　as　well.　In　order　to　allocate　the　interval-valued　inventory　costs,　we　propose　an　interval-valued　proportional　surplus　division　for　a　special　subclass　of　interval-valued　inventory　cost　allocation　cooperative　games.　By　adding　the　coalition　size　monotonicity-like　conditions,　a　simplied　and　an　eective　method　is　developed　to　obtain　the　lower　and　upper　bounds　of　the　proposed　interval-valued　proportional　surplus　division　via　utilizing　the　lower　and　upper　bounds　of　the　interval-valued　inventory　costs　of　coalitions,　respectively.　The　applicability　and　eectiveness　of　the　proposed　method　are　demonstrated　with　a　real　numerical　example.　This　paper　may　provide　theory　and　method　support　for　solving　complex　inventory　cost　allocation　problems　©　2018,　Editorial　Board　of　Journal　of　Systems　Engineering　Society　of　China.　All　right　reserved.