Considering　fuzzy　restricted　coalitions　appearing　in　the　practical　cooperation,　the　τ-value　for　the　fuzzy　graph　cooperative　games　with　the　Choquet　integral　is　defined,　and　its　existence　and　some　important　properties　are　proved.　The　relation　between　the　τ-value　and　the　fuzzy　core　is　discussed.　The　computational　formula　of　τ-value　for　the　convex　fuzzy　graph　cooperative　games　is　given.　Finally,　the　effectiveness　and　rationality　of　the　τ-value　is　illustrated　by　a　numerical　example.　The　research　result　shows　that　the　τ-value　is　an　extension　of　that　for　crisp　cooperative　game.　©　2017,　Editorial　Office　of　Control　and　Decision.　All　right　reserved.