The　purpose　of　this　paper　is　to　develop　a　quadratic　programming　method　for　solving　interval-valued　cooperative　games　with　fuzzy　coalitions.　In　this　method,　the　interval-valued　cooperative　games　with　fuzzy　coalitions　are　converted　into　the　interval-valued　cooperative　games　(with　crisp　coalitions)　by　using　the　Choquet　integral.　Two　auxiliary　quadratic　programming　models　for　solving　the　interval-valued　cooperative　games　are　constructed　by　using　the　least　square　method　and　distance　between　intervals.　The　proposed　models　and　method　are　validated　and　compared　with　other　similar　methods.　A　numerical　example　is　examined　to　demonstrate　the　validity,　superiority　and　applicability　of　the　method　proposed　in　this　paper.