Abstract
In this paper, a cooking menu is created by combination of some dishes. The combinatorial optimization problem is considered well-balanced for nutrition, matching of dishes and the number of dishes in each group. In order to create a well-balanced menu, we need to take account of the intakes of nutrients, energy, fat, dietary fiber, protein, carbohydrate, salt and etc. They have ideal value or range toward each person. It is difficult for combination of some dishes to satisfy the value or range. Usually, required intakes of each nutrient are not rigid strongly. Therefore, they are expressed by fuzzy numbers and membership functions are set to appropriate form. It aims at maximization of the minimum membership function value to take the balance for nutrient. The factors of matching and group composition are expressed in restriction conditions. This problem is formulated by fuzzy mathematical programming. Effectiveness of the method is presented by numerical experiments with 180 dishes data.
