It mentions ".. the amount of vitamin E required is largely dependent upon the amount of polyunsaturated fats in the diet. The more polyunsaturated fats consumed, the greater the risk that they will be damaged. Since vitamin E prevents this damage, as the intake of polyunsaturated fatty acids increases, so does the need for vitamin E."
I'm surprised that some oils don't already come fortified with E; especially flax seed oil, which not only is purchased just for nutritional purposes but is never heated by the consumer.