Abstract
When we consider a production planning problem, there may be many uncertainty factoras and multiple objectives.Fuzzy mathematical programming is a method considering these points, and various method have been proposed.In this paper, we consider the problem where there exists a relationship between variables and coefficients of the object function (for example, when the objective function is the sales, the coefficients, i.e. the prices are affected by production). We deal with the problem where the relationship is linear. In this case, the problem is a fuzzy multiobjective program with quadratic obgective functions. Even if we integrate these multiple objective functions by a certain method, the integrated problem still has multiple quadratic constraints. So it is very difficult to solve this program directly.In this paper, we propose a method for solving this problem. We approximately decompose variables and coefficients of the object function into interval constants, so that we may deal with a linear function.
