Abstract
In this paper we describe a new interactive method for solving multiple criteria problems. Interactive use of computer graphics plays a central role in our approach. The method does not rely on explicit knowledge of the properties of the decision maker’s underlying utility function. However, if we assume that the utility function is a pseudoconcave function at the moment the decision maker wants to terminate the search, sufficient conditions for optimality can be established. Our approach is a blend of the methods of Geoffrion et al., Wierzbicki, and Zionts and Wallenius, flavoured with some ideas of our own. If all constraints and objective functions are linear, then all necessary computations can be performed using any linear programming software with a parametric programming routine. We have implemented two versions of the method: one on an Apple III microcomputer and one on a HP3000/68 computer.
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Korhonen, P.J., Laakso, J. (1985). On Developing a Visual Interactive Multiple Criteria Method — An Outline. In: Haimes, Y.Y., Chankong, V. (eds) Decision Making with Multiple Objectives. Lecture Notes in Economics and Mathematical Systems, vol 242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46536-9_18
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DOI: https://doi.org/10.1007/978-3-642-46536-9_18
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