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The Impact of the Scale Elements Alteration on Priorities in Analytic Hierarchy Process Technique
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The present study, presents a comparative analysis of different measurement scales adopted in Analytic Hierarchy Process (AHP), by testing them versus a problem with a known composite answers. Then experimentally, the impact of the different measurement scale elements alteration from three aspects: 1. The limited scale upper bound (up to 9), 2. Changing the scale parameters (a parameters), and 3. Changing the system numbers (from 1, 3…9; to 2, 4…10) on priorities are investigated. The results show that the linear measurement scale has the best performance in comparison to other scales.
Keywords
AHP, Measurement Scale, Scale Elements Alteration.
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- Cox, M. A. A. (2009). Multidimensional scaling as an aid for the analytic network and analytic hierarchy process. Journal of Data Science, 7(2009), 381-396.
- Forman, E. H., & Gass, S. I. (2001). The analytic hierarchy process-an exposition. Operations Research, 49, 469-486.
- Ishizaka, A., & Labib, A. (2009). Analytic hierarchy process and expert choice: Benefits and limitations”, OR Insight, 22(4), 201-220.
- Ishizaka, A., Balkenborg, D., & Kaplan T. (2011). Influence of aggregation and measurement scale on ranking a compromise alternative in AHP. The Journal of the Operational Research Society, 62(4), 700-710.
- Ji, P., & Jiang, R. (2003). Scale transitivity in the AHP. The Journal of the Operational Research Society, 54(8), 896-905.
- Luce, R. D. (1997). Quantification and symmetry. British Journal of Psychology, 88, 395-398.
- Monat, J. P. (2009). The benefits of global scaling in multi criteria decision analysis, Judgment and Decision Making, 4(6), 492-508.
- Munshi J. (2014). Method for constructing likert scales, (April 2, 2014). Retrieved from http://ssrn.com/ abstract=2419366 or http://dx.doi.org/10.2139/ ssrn.2419366
- Narens, L. (1981). On the scales of measurement. Journal of Mathematical Psychology, 24, 249-275.
- Narens, L., & Luce, R. D. (1986). Measurement: The theory of numerical assignments. Psychological Bulletin, 99(2), 166-180.
- Pöyhönen, M., Hämäläinen, R. P., & Salo, A. (1997). An experiment on the numerical modeling of verbal ratio statements, 6. Journal of Multi Criteria Decision Analysis, 6.
- Ramanathan, R. (2001). A note on the use of the analytic hierarchy process for environmental impact assessment. Journal of Environmental Management, 63, 27-35.
- Sato, Y. (2001). The impact on scaling on the pair wise comparison of the Analytic Hierarchy Process. ISAHP, 2001, Berns Switzerland, August 2-4, 421-430.
- Saaty, T. L. (2000). Fundamentals of decision making and priority theory. RWS publication, 6.
- Saaty, T. L. (2004). Scales from measurement not measurement from scales. MCDM 2004, Whistler, B.C., Canada, August 6-11, 2004.
- Saaty T. L. (2005). The Analytic Hierarchy and Analytic Network Processes for the measurement of intangible criteria and for decision making”, in Multi Criteria Decision Analysis: state of the art survey (Figueira et al., Eds), Kluwer academic publisher, 345-406.
- Salo, A., & Hamalainen, R. (1997). On the measurement of preferences in the Analytic hierarchy Process. Journal of Multi Criteria Decision Analysis, 6, 309-319.
- Shinohara et al., (2001). Why not use the Entropy method for weight estimations. proceedings-6th ISAHP 2001, Berns, Switzerland, August 2–4, 2001, 431-434.
- Stevens, S. S. (1946). On the theory of scales of measurement. Science, 103(2684).
- Triantaphyllou et al., (1994). On the evaluation and application of different scales for quantifying pair wise comparisons in fuzzy sets. Journal of Multi Criteria Decision Analysis, 3, 133-155.
- Triantaphyllou, E., Shu, B., Sanchez, S. N., & Ray, T. (1998). Multi criteria decision making: an operations research approach. Encyclopedia of Electrical and Electronics Engineering, John Wiley & Sons, Newyork, 15, 175-186.
- Turskis, Z., Zavadskas, E. K., & Peldschus, F. (2009). Multi criteria optimization system for decision making in construction design and management. Engineering Economics, 1(61), 1-17.
- Vachajitpan, P. (2004). Measurements scales and derivation of priorities in pair wise and group decision making, MCDM 2004, Whistler, B.C., Canada, August 6–11, 2004, 1-6.
- Wang, X. (2007). Study of ranking irregularities when evaluating alternatives by using some ELECTRE methods and a proposed new MCDM method based on regret and rejoicing”, MSc. Thesis, Louisiana State University. USA.
- Wedley W. C. (2001). AHP answers to problems with known composite values, ISAHP 2001, Berns Switzerland, August 2-4, 2001, pp. 551-560.
- Wedley, W. C. (2007). AHP/ANP-where is natural zero? ISAHP 2007, VinaDel Mar, Chile, August 3-6, 2007, pp. 1-15.
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