A Geometric Standard Deviation Based Soft Consensus Model in Analytic Hierarchy Process
Autor: | Gregor Dolinar, Petra Grošelj |
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Rok vydání: | 2012 |
Předmět: |
Mathematical optimization
021103 operations research Group (mathematics) Computer science 0211 other engineering and technologies Analytic hierarchy process 02 engineering and technology Weighted geometric mean Group decision-making 0202 electrical engineering electronic engineering information engineering Geometric standard deviation 020201 artificial intelligence & image processing Consensus model Iteration process |
Zdroj: | Contributions to Management Science ISBN: 9783030524050 |
Popis: | Consensus building models are widely studied in connection to the multi-criteria group decision making problems. The aim of such models is to enhance the level of agreement between decision makers (DMs). The paper studies several properties and discusses arising questions regarding consensus models in analytic hierarchy process. A new consensus reaching model based on the weighted geometric mean and geometric standard deviation is proposed. A simulation of two scenarios of the novel model is applied to the data from the case study to demonstrate its validity. The results are compared to the three consensus models, selected from the literature. The analysis revealed that the adaptations that DMs accept and make to their judgments in the new consensus model are appropriately high. Consequently, DMs do not have to make subsequent modifications and generally all DMs make minimum one change in the iteration process, which contributes to the comfortable group environment and effective final decisions. |
Databáze: | OpenAIRE |
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