A Formulation of a Fuzzy Linear Goal Programming Problem with Fuzzy Constraints and Fuzzy Target Values

In conventional Mathematical Goal Programming problems, the coefficients of objetive functions, constraints and target values are expressed as crisp numbers. In real world problems, however, it is no frequent for coefficients and target values to be known precisely. In such case, the parameters of the model should be represented by fuzzy sets for reflecting imprecision.Our object is the formulation of a fuzzy linear goal programming problem to obtain a reasonable solution under consideration of the ambiguity in the achievement level desired for each attribute and to solve that fuzzy linear goal programming problem. The problem is transformed into a parametric one, and the solution is given in fuzzy terms; a numerical example is provided.