FLC TAXIS ALONG WRONG TXWY.

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CLRED BY JFK GND CTL TO CROSS RWY 22R AT TXWY 'F' TO GATE ON OUTER. THERE IS A FORK AT TXWYS 'F' AND 'O' WHICH DOES NOT DEPICT THE TXWYS WELL. WE THOUGHT THE R TXWY WAS 'O' BUT IT TOOK US ACROSS NON ACTIVE RWY 31R. WE CONTACTED GND AND GOT RECLRED TO THE GATE WITHOUT FURTHER COMPLICATION. I SUGGEST BETTER MARKING OF TAXI INTXNS SO THAT INDECISION WOULD BE ELIMINATED. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR STATED HE WAS FLYING A BOEING 767-200. HE HAD LANDED ON RWY 22L TURNED OFF THE HIGH SPD AT TXWY J AND TAXIED BACK ON TXWY Z TO WHERE TXWYS F; Z AND RWY 22R INTERSECT. HIS CLRNC TO CROSS RWY 22R AT TXWY F AND TAXI VIA THE OUTER RESULTED IN HIS THINKING TXWY Z/A WAS THE OUTER. HE DID NOT REALIZE HIS ERROR UNTIL HE WAS XING THE UNLIGHTED RWY 31R. THE CREW DID HAVE THEIR ARPT DIAGRAM OUT IN FRONT OF THEM AND THEY DID ATTEMPT TO READ THE SIGNAGE; BUT NEITHER CLUES KEPT THEM FROM TAKING THE WRONG TXWY. THE RPTR FELT THAT IN MANY ARPTS THE SIGNS ARE VAGUE AND UNCLR. FOR EXAMPLE; SOME SIGNS ARE SO LOCATED THE PLT IS NOT SURE WHICH TXWY THE SIGN IS REFING.