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Modelling and Data Analysis
2020. Vol. 10, no. 4, 79–87
doi:10.17759/mda.2020100407
ISSN: 2219-3758 / 2311-9454 (online)

The Problem of Adequacy of the Analytic Hierarchy Process

 
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Abstract

The Analytic hierarchy process (AHP) is a popular method for solving multi-criteria problems. However, the problem of the adequacy of the AHP method is not solved. Opponents of the Analytic hierarchy process believe that the AHP as a whole is erroneous and cannot be applied in practice. Proponents of the method believe that the disadvantages of the method are compensated by a simple measurement procedure. In this paper, a modification of the AHP method is proposed. A mathematical model of measurement is formulated, which contains a built-in mechanism for checking adequacy. moreover, the measurement method is preserved, and the calculation algorithm becomes even simpler. The fact is that the Analytic hierarchy process is based on the assumption that the scale of relations can be obtained by pairwise comparison using numerical judgments based on the absolute scale of numbers. Fechner’s psychophysical law is considered as a justification for the existence of the scale of relations. But there are not one, but two psychophysical laws. The existence of two psychophysical laws is a problem of psychophysics. This problem can be solved by the rating method. To overcome the disadvantages of the Analytic hierarchy process, it is also proposed to use the rating method. The use of the rating method makes it possible to use the fundamental scale of the AHP method. As an example, the problem is solved using the traditional AHP scale.

General Information

Keywords: Fechner’s law, Stevens’ law, MAI method, hierarchy analysis method, rating

Journal rubric: Optimization Methods

OpenAlex citations: 3

OpenAlex trends: Multi-Criteria Decision Making, Advanced Decision-Making Techniques, Evaluation Methods in Various Fields

Information about the work in OpenAlex

Number of citations: 3

Topics

Multi-Criteria Decision Making

This cluster of papers focuses on the application and development of Multi-Criteria Decision Making (MCDM) methods, including Analytic Hierarchy Process (AHP), Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS), and various fuzzy set theories. The papers cover topics such as group decision making, supplier selection, environmental decision making, and the use of Geographic Information Systems (GIS) in decision analysis.

Number of works: 95217  |  Total number of citations: 2310123

Topic detailsв OpenAlex

Advanced Decision-Making Techniques

This cluster of papers focuses on the application of spatial data mining techniques, cloud models, and advanced technologies such as process neural networks, fuzzy neural networks, virtual reality simulation, and 3D laser scanning in various domains. It also encompasses research on information security risk assessment, network security evaluation, and GIS data mining using quantitative and qualitative research methods.

Number of works: 51503  |  Total number of citations: 83952

Topic detailsв OpenAlex

Evaluation Methods in Various Fields

This cluster of papers focuses on the application of fuzzy modeling, analytic hierarchy process, and entropy weight decision-making in various environmental and energy-related domains. It also explores the use of tree shrews as an emerging model for human diseases, particularly lung cancer. Additionally, it addresses topics such as urban green transportation planning, power quality monitoring systems, and residential electricity demand responses.

Number of works: 46729  |  Total number of citations: 44434

Topic detailsв OpenAlex

Work details in OpenAlex

DOI: https://doi.org/10.17759/mda.2020100407

Published

For citation: Romanchuk, V.M. (2020). The Problem of Adequacy of the Analytic Hierarchy Process. Modelling and Data Analysis, 10(4), 79–87. (In Russ.). https://doi.org/10.17759/mda.2020100407

© Romanchuk V.M., 2020

License: CC BY-NC 4.0

References

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Information About the Authors

Vasily M. Romanchuk, Candidate of Science (Physics and Matematics), Associate professor, Chair of “Engineering mathematics”, Belarusian national technical University, Minsk, Belarus, ORCID: https://orcid.org/0000-0001-9687-2919, e-mail: romanchak@bntu.by

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