AN AIRLINE B737-400 FLC THAT WAS SEQUENCED AS THE #2 ACFT TO ARRIVE AT ADQ CANCELED THEIR IFR FLT PLAN WITH ARTCC AND COORDINATED WITH THE TWR TO LAND BEFORE A SLOWER DC6 FREIGHT ACFT THAT HAD BEEN SEQUENCED AS #1. NO CONFLICT.

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ACFT #1 ON DSCNT INTO ADQ RECEIVED CURRENT ATIS WITH VISIBILITY AT 3/4 MI. CALLED ADQ TWR FOR VISIBILITY UPDATE; WAS ADVISED VISIBILITY VARIABLE 1/2 - 10+ WITH SHOW SHOWERS PASSING THROUGH AREA. RECEIVED CLRNC FROM ZAN TO DSND TO 10000 FT; FOLLOWED BY CLRNC TO 6000 FT AND VIA THE ODK VOR 10 DME ARC TRANSITION TO 8 DME FIX ON THE ADQ LOC HOLD E TO FOLLOW IFR TFC WHICH WAS TO BE CLRED FOR THE ODK VOR-1 RWY 25 APCH. THIS ACFT #2 WHICH WAS INBOUND FROM THE N TO THE ODK VOR. ACFT #2 REQUESTED AND RECEIVED A HOLD CLRNC AS PUBLISHED ON THE VOR APCH DUE TO LOW VISIBILITY. I DID NOT HEAR ZAN GIVE ACFT #2 A SPECIFIC TRANSITION TO THE ODK VOR NOR DID I HEAR ACFT #2 ENTER HOLD. WHILE I WAS ON THE ODK 10 DME ARC INBOUND TO THE LOC; ZAN GAVE ACFT #2 A CLRNC FOR THE VOR APCH. AS ACFT #1 JOINED THE ADQ LOC; THE ARPT AND ALL THE AREA AROUND THE ARPT AND TO THE S AND E WAS IN VIEW. THE VOR; WOODY ISLAND; WAS NOT IN VIEW. APCHING THE 8 DME FIX; ACFT #1 REQUESTED THE LOCATION OF ACFT #2; WAS ADVISED BY ACFT #2 THEY WERE 8 MI N OF THE VOR. THIS PUT THEM ABOUT 13 MI FROM RWY 25 AND MYSELF 8 MI FROM RWY 25 -- A 5 MI ACFT SEPARATION AT THAT POINT. EXPECTING ACFT #2 TO FLY A TRANSITION PROC TURN UPON THEIR REACHING THE VOR; I CANCELED IFR WITH ZAN AND COORDINATED WITH ADQ TWR TO CONTINUE STRAIGHT IN VMC TO RWY 25. ACFT #2 WAS UNHAPPY THAT I WENT IN AHEAD OF THEM. ACFT #2 STATED THEY WERE CLRED FOR AN IFR APCH AND WOULD HAVE TO MISS APCH -- THEY DID NOT. I NOTIFIED ACFT #2 I WOULD KEEP SPD UP AND BE CLR OF RWY 25 PRIOR TO THEIR ARR. I DO NOT KNOW IF ACFT #2 HAD TO CIRCLE OR DO ANY OTHER MANEUVER FOR SPACING PRIOR TO THEIR LNDG AT ADQ. FOLLOWING MY ARR; I CALLED ADQ TWR AND DISCUSSED SIT WITH THEM. THEY WERE IN AGREEMENT THAT THEY DID NOT SEE ANY CONFLICT BASED ON ACFT #2 STATEMENT THAT THEY WERE 8 MI N OF THE VOR AT THE TIME I CANCELED IFR. NO ACFT EVASIVE ACTION WAS REQUIRED BY ACFT #1 OR #2. IT WAS MY BELIEF THAT ACFT #2 WOULD BE TURNING OUTBOUND AWAY FROM THE ARPT THAT INFLUENCED MY DECISION TO CANCEL MY IFR CLRNC AND PROCEED INBOUND; THIS TO SAVE TIME AND AVOID HOLDING. IN REVIEW WITH THE WAY EVENTS OCCURRED IT WOULD HAVE BEEN BETTER FOR ME TO HAVE HELD FOR A FEW MINS TILL IT WAS CLR WHAT ACFT #2 WAS DOING THUS AVOIDING LAST MIN CONFUSION FOR BOTH ACFT.