Vitamin K is a one of the essential vitamins found in a healthy balanced diet. Your liver uses vitamin K to produce clotting factors, and as such plays a role in your body's natural clotting process. Warfarin works against vitamin K and reduces the amount of clotting factors your liver can produce.
Vitamin K is found in some of the foods that we eat, so our diet plays a big part in how much vitamin K is in our body. Changes in the amount of vitamin K in your body will mean that your body needs different amounts of warfarin to have the same effect on your clotting factors. For example, if you reduce the amount of vitamin K you eat, you will have less in your body for warfarin to work against, so even less clotting factors will be made and your INR will increase.