Interdependence in fuzzy multiple objective programming

In multiple objective programs [MOP], application functions are established to measure the degree of fulfillment of the decision maker’s requirements (achievement of goals, nearness to an ideal point, satisfaction, etc.) about the objective functions (see e.g. [7, 24]) and are extensively used in the process of finding ”good compromise” solutions. In [6] we demonstrated that the use of interdependences among objectives of a MOP in the definition of the application functions provides for more correct solutions and faster convergence. In this paper, generalizing the principle of application functions to fuzzy multiple objective programs [FMOP] with interdependent objectives, we define a large family of application functions for FMOP and illustrate our ideas by a simple three-objective program.