In　the　last　three　to　four　decades,　Fuzzy　decision　and　Game　theory　are　received　great　attention　from　the　scientists,　engineers,　economists　and　businessmen,　and　achieved　tremendous　success　as　well.　To　realize　the　day-to-day　problems,　researchers　use　fuzzy　and　vague　sets　in　their　discussions　of　the　game　problems.　In　this　article,　we　consider　a　matrix　game　whose　payoffs　are　triangular　intuitionistic　fuzzy　numbers　and　also　apply　robust　ranking　technique　as　ranking　of　fuzzy　numbers　to　solve　the　matrix　game.　Different　types　of　score　function　approaches,　and　accuracy　function　approaches　are　used　in　matrix　games,　but　robust　ranking　technique　to　solve　matrix　games　is　rare　in　use.　We　utilize　the　robust　ranking　technique　to　solve　matrix　game　and　analyze　numerical　examples　to　validate　the　proposed　technique.　We　describe　a　conclusion　about　the　proposed　study　with　an　outlook　of　future　study.