A parametric generalized goal function for fuzzy decision making with unequally weighted objectives

In multiobjective fuzzy decision making, averaging operators are commonly used as goal functions. It is assumed that such a goal function attains the maximum value for the optimal alternative. A parametric generalized goal function is given that unifies many of the commonly used averaging operators for equally weighted objectives. The parameters can be interpreted as an indication of the decision maker´s optimism. Conditions are defined that a generalized weighted goal function should satisfy. A correct generalization of the goal function for unequally weighted objects is given