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Using the analytic hierarchy process in evaluating decision alternatives

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  • Paweł Cabała

Abstract

In this paper the method of the Analytic Hierarchy Process (AHP) is described. At the beginning the general assumptions of the method are characterized and discussed. These are related to assumptions held within General Systems Theory. Then the problems of pairwise comparisons of elements, with its use of a specific scale, as well as the resulting reciprocal matrix are presented. There are many ways of estimating the eigenvectors of this matrix. These eigenvectors reflect weights of preferences. Despite the fact that we are able to evaluate the consistency of judgements the problem of acceptable weights still remains. Therefore, by way of an illustration, the method for the sensitivity analysis of preferences is also discussed in the paper.

Suggested Citation

  • Paweł Cabała, 2010. "Using the analytic hierarchy process in evaluating decision alternatives," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 20(1), pages 5-23.
    • Handle: RePEc:wut:journl:v:1:y:2010:p:1-23
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    File URL: https://ord.pwr.edu.pl/assets/papers_archive/151%20-%20published.pdf
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    References listed on IDEAS

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    1. Takeda, E. & Cogger, K. O. & Yu, P. L., 1987. "Estimating criterion weights using eigenvectors: A comparative study," European Journal of Operational Research, Elsevier, vol. 29(3), pages 360-369, June.
    2. Vargas, Luis G., 1990. "An overview of the analytic hierarchy process and its applications," European Journal of Operational Research, Elsevier, vol. 48(1), pages 2-8, September.
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    Cited by:

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    2. Díaz, H. & Guedes Soares, C., 2022. "A novel multi-criteria decision-making model to evaluate floating wind farm locations," Renewable Energy, Elsevier, vol. 185(C), pages 431-454.
    3. Lucian-Ionel Cioca & Radu-Eugen Breaz & Sever-Gabriel Racz, 2019. "Reducing the Risks during the Purchase of Five-Axis CNC Machining Centers Using AHP Method and Fuzzy Systems," Sustainability, MDPI, vol. 11(2), pages 1-23, January.

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