A model for the relative importance of the criteria in the Multiplicative AHP and SMART |
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Institution: | 1. Department of Diagnostic and Interventional Radiology, Eberhard-Karls-University Tübingen, Hoppe-Seyler-Strasse 3, D-72076 Tübingen, Germany;2. Siemens AG, Healthcare, Forchheim, Germany;3. Department of Internal Medicine II, Eberhard-Karls-University Tübingen, Tübingen, Germany;1. PRESAD Research Group, BORDA Research Unit, IMUVA, Departamento de Economía Aplicada, Universidad de Valladolid, Spain;2. PRESAD Research Group, BORDA Research Unit, Departamento de Organización de Empresas y Comercialización e Investigación de Mercados, Universidad de Valladolid, Spain;1. Department of Analytical Chemistry and Pharmaceutical Technology, Center for Pharmaceutical Research, Vrije Universiteit Brussel, Laarbeeklaan 103, B-1090 Brussels, Belgium;2. Université Libre de Bruxelles (ULB), Boulevard du Triomphe accès 2, B-1050 Bruxelles, Belgium;3. Laboratory of Micro- and Photoelectronics, LAMI-ETRO, Vrije Universiteit Brussel, Pleinlaan 2, Brussels 1050, Belgium |
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Abstract: | We define the relative importance of any pair of criteria as the substitution rate between the relative gains and losses of the alternatives when we move along an indifference curve. Under the geometric-mean aggregation rule in the Multiplicative AHP and under the arithmetic-mean aggregation rule in SMART, the relative (not the marginal) substitution rate depends neither on the performance of the alternatives under the remaining criteria nor on the units of performance measurement. Hence, it provides a sound argument for distributed decision-making processes where those who judge the criteria are not the same actors as those who assess the performance of the alternatives. The definition has a plausible basis in the psycho-physical research on the relationship between physical stimuli and sensory responses, which shows that human beings are sensitive, not to marginal but to relative changes of the stimulus intensities. |
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