Fibonacci Series-Based Pairwise Comparison Scale for Analytic Hierarchy Process

Boğaç Can Yıldırım, Gülşah Karakaya () and Mustafa Sinan Gönül ()
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Boğaç Can Yıldırım: Department of Business Administration, Middle East Technical University, Ankara, 06800, Turkey
Gülşah Karakaya: Department of Business Administration, Middle East Technical University, Ankara, 06800, Turkey
Mustafa Sinan Gönül: Newcastle Business School, Northumbria University, Newcastle, United Kingdom

International Journal of Information Technology & Decision Making (IJITDM), 2021, vol. 20, issue 03, 959-986

Abstract: The Analytic Hierarchy Process (AHP) is one of the most widely used quantitative tools in multi-criteria decision-making problems. Despite its popularity and use due to its simple but systematic 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 comparisons of alternatives/criteria, which are, then, converted into quantitative scores with a one-to-one mapping between the verbal comparisons and a predetermined numerical scale. The choice of the numerical scale affects an essential characteristic of pairwise comparisons: consistency. In order to understand the intrinsic consistency propinquities, this study evaluates the most widely used numerical pairwise comparison scale (Fundamental Scale) and other numerical scales that have been proposed since the initial formulation of AHP. After identifying the limitations of known scales, a new scale based on Fibonacci series is developed considering these limitations, and further analysis is conducted through extensive simulations. The results show that the proposed scale performs well when compared to the other scales.

Keywords: Numerical comparison; AHP; comparison scale; Fibonacci; exponential; consistency (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0219622021500243

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