Context-Related Scaling of Human Judgement in the Multiplicative AHP, SMART, and ELECTRE

Lootsma, F.A. (1993). Context-Related Scaling of Human Judgement in the Multiplicative AHP, SMART, and ELECTRE. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-93-039

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Abstract

Since decisions are invariably made within a given context, we model relative preferences as ratios of increments or decrements in an interval on the axis of desirability. Next, we sort the ratio magnitudes into a small number of categories, represented by numerical values on a geometric scale. We explain why the Analytic Hierarchy Process (AHP) and the French collection of ELECTRE systems, typically based on pairwise -- comparison methods, are concerned with category judgement of ratio magnitudes, whereas the Simple Multi-Attribute Rating Technique (SMART) essentially uses the orders of magnitude of these ratios. This phenomenon, well-known in psycho-physics, provides a common basis for the analysis of the methods in question and for a cross-validation of their results. Throughout the paper, we illustrate the approach via a well-known case study, the choice of a location for a nuclear power plant.

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