B767 FLT CREW MISUNDERSTANDS THE CLRNC ISSUED AND LOADS WRONG ARR INTO THE FMS. THE CTLR NOTICES THE ACFT TRACK AND ISSUES A VECTOR-CLRNC.

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FLYING A CHARTED STAR (WALDA 5 MIKE) (WLD 5M) INTO MUNICH; GERMANY (EDDM). STAR INCLUDES A NOTE TO EXPECT GPS/FMS/RNAV TRANSITION OR RADAR VECTORING TO ILS FINAL; COMMENCING AT ROKIL INTXN. WE WERE CLRED FOR THE RNAV TRANSITION. I SELECTED THE ILS APCH TO RWY 26; ROKIL TRANSITION; RATHER THAN THE ROKIL FMS/RNAV TRANSITION; FROM THE FMS DATABASE. BOTH COMMENCE FROM ROKIL; BUT FOLLOW DIFFERENT TRACKS OUTBOUND. RADAR CTLR CALLED US WITHIN A FEW MI OF FLYING INCORRECT TRACK; AND THEN PUT US ON RADAR VECTORS TO THE ILS FINAL. THERE WAS NO MENTION OR EVIDENCE ON TCAS OF ANY CONFLICT WITH ANY TFC. IN RETROSPECT; THE CTLR INSTRUCTIONS WERE CLR; BUT WITH THE RNAV/FMS TRANSITION HAVING THE SAME NAME AS AN ILS APCH TRANSITION TO THE RWY IN USE; IT WAS AN EASY MISTAKE TO MAKE. SUPPLEMENTAL INFO FROM ACN 686579: CAPT BRIEFED THE APCH AND ARR TO MUC. HE BRIEFED THE ROKIL ARR (10-2 PAGE) AND THE TRANSITION THROUGH MIQ TO THE ILS RWY 26R. SHORTLY THEREAFTER; WE RECEIVED CLRNC FROM MUC APCH FOR THE 'ROKIL TRANSITION.' THIS WAS INTERPED BY US AS A CONFIRMATION OF THE ROKIL ARR ON THE 10-2 PAGE. HOWEVER; WE BELIEVE THAT ATC DESIRED US TO FLY THE 'ROKIL TRANSITION;' AN RNAV TRANSITION ON THE 10-2C PAGE. ON THE 10-2 PAGE (WHAT WE THOUGHT WAS OUR CLRNC); THE INITIAL TURN AFTER ROKIL IS TO THE L; TO MIQ. MIQ IS THE PUBLISHED APCH TRANSITION (IAF) TO RWY 26R. ON THE 10-2C PAGE (WHAT WE THINK ATC ACTUALLY WANTED OR EXPECTED US TO FLY); THE FIX AFTER ROKIL IS AN RNAV WAYPOINT -- A TURN TO THE R.