Consequences of uncertainty in the analytic hierarchy process: A simulation approach
| Autor: | Sajjad Zahir, Dan Paulson |
|---|---|
| Rok vydání: | 1995 |
| Předmět: |
Mathematical optimization
Propagation of uncertainty Rank reversals in decision-making Information Systems and Management General Computer Science Hierarchy (mathematics) Decision theory Analytic hierarchy process Management Science and Operations Research Industrial and Manufacturing Engineering Ranking Modeling and Simulation Statistics Preference (economics) Mathematics Central limit theorem |
| Zdroj: | European Journal of Operational Research. 87:45-56 |
| ISSN: | 0377-2217 |
| DOI: | 10.1016/0377-2217(94)00044-d |
| Popis: | A methodology for the propagation of uncertainty in the analytic hierarchy process (AHP) is described. The sole source of the uncertainty is assumed to lie in the elements of the preference matrices. The uncertainty in decision alternative rankings and the probability of a rank reversal as functions of the number of alternatives and hierarchy depth are examined. Ranking uncertainty is found to decrease as the number of alternatives or the depth of the hierarchy is increased. The observed behaviour of ranking uncertainty is partially explained using the central limit theorem. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect