The phrase "affair based on a" is correct and usable in written English.
It can be used when discussing a relationship or situation that is founded on a particular principle, idea, or condition.
Example: "Their affair was based on a mutual understanding of their personal circumstances."
Alternatives: "relationship founded on a" or "situation rooted in a".
I don't think this was a love affair based on a misjudgment.
He has been filming a new drama about the Dreyfus affair, based on a novel by Robert Harris.
He was in Poland to shoot a new drama about the Dreyfus affair, based on a novel by Robert Harris, and previously appeared in Polish court last February.
And it's a matter of honor to "A Catered Affair," based on a Paddy Chayefsky television drama and the 1956 movie it inspired, that it never lets its repressed characters cut loose.
This year he's back with his first studio effort, The Light Between Oceans, a star-packed affair based on a bestselling novel by ML Stedman, about a lighthouse keeper and his wife, who decide to raise a baby they rescue from an adrift rowboat in western Australia.
The actual discs themselves are lying flat on top of the movement, a custom-tailored affair based on a Sowind movement with a dual-rotor for automatic winding.
The third is the British model, an informal, common-law affair, based on an unwritten constitution.
It'll likely be a somewhat flashy affair, based on an Instagram post shared by Tesla CEO Elon Musk that showed preparations underway for the big event, with large light signs shining on the side of the Fremont-based Tesla factory.
Now he has written and co-stars in the new musical "A Catered Affair," based on the 1956 movie, about a Bronx family planning a wedding.
From Friday, Clint Eastwood's American Sniper, starring Bradley Cooper, should pull adult males, although it's an altogether more serious affair, based on the memoir of an Iraq war combatant.
Proof of this is Neil Jordan's acclaimed The End Of The Affair, based on Graham Greene's novel, which tells a story of infidelity and sexual intrigue in war-torn London.
