Liars and Four Hats puzzle

[Brian]

4 men are lined up in alphabetical order each is wearing a hat of a different color, but none of them are wearing their own hat.

Alan Red
Brad Blue
Cory Green
Don Yellow

You are to ask them each two questions but the question must be about the color of their own hat for example you can ask Alan "Is your hat Red or Blue". Each of your questions must be about two hats, not just one. But you will not know if he is going to lie or tell the truth only that he will give one truthful answer and one untruthful answer to your 2 questions.

For one of these questions each man is going to lie, and on the other question he is going to tell you the truth. Before asking the question you will not know if he is going to be lying or telling the truth that round. They may all tell the truth on the first question and lie on the second or any combination but they MUST lie on one question and tell the truth on another.

You may only ask each man two questions about the owner ship of their hats.

And you must assign the correct hat to each person based on the answers of your questions.

Is there a solution ?
and if so :
Which two hats would you ask each man about ?