Pairwise-comparison methods in multiple objective programming, with applications in a long-term energy-planning model

This paper sketches the pairwise-comparison methods, some aspects of magnitude scaling, and the ideal-point methods, and presents a preliminary evaluation of the combined method on the basis of its possible contribution to interactive decision analysis.

Abstract

We propose to use pairwise comparisons within the framework of ideal-point or reference-point methods for multi-objective programming. The decision makers are requested to estimate the ratios which are acceptable for deviations from the ideal vector. Thereafter, we seek the nearest feasible solution using the Tchebycheff norm. In this paper we sketch the pairwise-comparison methods, some aspects of magnitude scaling, and the ideal-point methods. We show the results of our numerical experiments in long-term energy planning with nine objective functions. Finally, we present a preliminary evaluation of the combined method on the basis of its possible contribution to interactive decision analysis.