A New pairwise comparison scale for analytic hierarchy pprocess

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2019

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Yıldırım, Boğaç Can

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One of the most significant difficulties in daily life or business decision problems is that they often involve multiple criteria, alternatives and/or stakeholders. Analytic Hierarchy Process (AHP) is one of the most widely used multi-criteria decision making tools in such problems. Despite its wide acceptance due to its systematic and simple procedure, AHP has limitations especially in terms of the numerical comparison scale used in one of its core steps: Pairwise comparisons. AHP is based on verbal comparison of alternatives, which are then converted to numerical scores with a one-to-one mapping between the verbal comparisons and and a numerical scale. The choice of numerical scale affects one of the most important characteristics of pairwise comparisons, which is named as “consistency”. This study includes the comparison of the most widely used numerical pairwise comparison scale (Fundamental Scale) with other main numerical scales that have been suggested since the first foundation of AHP (Saaty, 1980). In the comparison procedure, the limitations of Fundamental Scale are identified, a new scale is proposed considering these limitations, and characteristics of all numerical pairwise comparison scales are analyzed. These analyses are tested with extensive simulations. All numerical scales are evaluated on an example decision making problem. Lastly, the advantages and disadvantages of the numerical scales are presented.

Subject Keywords

Decision making., Analytic mappings., Functions of several complex variables., Decision making

URI

http://etd.lib.metu.edu.tr/upload/12622958/index.pdf
https://hdl.handle.net/11511/27994

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Graduate School of Social Sciences, Thesis

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Citation Formats

B. C. Yıldırım, “A New pairwise comparison scale for analytic hierarchy pprocess,” M.S. - Master of Science, Middle East Technical University, 2019.