There is a possibility that applying an incentive scheme to one parameter only may attach undue importance to it.

The statement was made without any undue importance attached to it.

The danger is they may assume undue importance.

I made it clear to him that I did not attach undue importance to the fact of his having been a convict.

This means that minor details sometimes assume undue importance, upstaging key facts of the case.

We still place undue importance on the bottles, labels and corkscrews.

"But we weren't filled with any feelings of undue importance."

He did not attach undue importance to it, and could never bring himself to consider it seriously.

I don't want you to give it undue importance.

He can't be given undue importance, you know.