On the Components in Interactive Multiobjective Programming Methods

Interactive programming methods are composed of three main factors, i.e., (1) preference information elicited from the decision maker, (2) scalarization functions and (3) numerical methods for auxiliary scalar optimization. In developing interactive programming methods, it seems very important to make effective use of various devices in these three factors. Above all, aspiration levels are promising as the preference information elicited from the decision maker, since they are easy and intuitive to answer. Moreover, the weighted Tchebyshev norm can be effectively used as a scalarization function for obtaining a Pareto solution. In this paper, we discuss each components in interactive multiobjective programming methods.