The term 'BIG NAME IN FAT AVOIDANCE' can be summarized as the five-letter word 'SPRAT'. This word is associated with the popular low-fat diet plan created by Dr. Robert C. Atkins in 1972. The Atkins Diet, also known as the Atkins Nutritional Approach, is a low-carbohydrate diet that focuses on reducing the intake of carbohydrates and replacing them with proteins and fats. The diet has been credited with helping people lose weight and improve their overall health.