Influence of aggregation and measurement scale on ranking a compromise alternative in AHP
| Autor: | Dieter Balkenborg, Todd R. Kaplan, Alessio Ishizaka |
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| Rok vydání: | 2011 |
| Předmět: |
Marketing
Logarithmic scale jel:C60 Mathematical optimization 021103 operations research Operations research Strategy and Management Decision Analysis Multiple criteria analysis Utility theory Additive AHP Multiplicative AHP Logarithmic scale Multiplicative function Business and Management 0211 other engineering and technologies Analytic hierarchy process Scale (descriptive set theory) 02 engineering and technology Aggregation problem Management Science and Operations Research Decision problem Management Information Systems Ranking 0202 electrical engineering electronic engineering information engineering Economics 020201 artificial intelligence & image processing AHP Multi-criteria Decision analysis Decision analysis |
| Zdroj: | Ishizaka, A, Balkenborg, D & Kaplan, T 2011, ' Influence of aggregation and measurement scale on ranking a compromise alternative in AHP ', Journal of the Operational Research Society, vol. 62, no. 4, pp. 700-710 . https://doi.org/10.1057/jors.2010.23 |
| ISSN: | 1476-9360 0160-5682 |
| DOI: | 10.1057/jors.2010.23 |
| Popis: | Analytic Hierarchy Process (AHP) is one of the most popular multi-attribute decision aid methods. However, within AHP, there are several competing preference measurement scales and aggregation techniques. In this paper, we compare these possibilities using a decision problem with an inherent trade-off between two criteria. A decision-maker has to choose among three alternatives: two extremes and one compromise. Six different measurement scales described previously in the literature and the new proposed logarithmic scale are considered for applying the additive and the multiplicative aggregation techniques. The results are compared with the standard consumer choice theory. We find that with the geometric and power scales a compromise is never selected when aggregation is additive and rarely when aggregation is multiplicative, while the logarithmic scale used with the multiplicative aggregation most often selects the compromise that is desirable by consumer choice theory. |
| Databáze: | OpenAIRE |
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