Cybernetics And Systems Analysis logo
Editorial Board Announcements Abstracts Authors Archive
KIBERNETYKA TA SYSTEMNYI ANALIZ
International Theoretical Science Journal
-->

DOI 10.34229/KCA2522-9664.24.6.12
UDC 519.816
M.М. Potomkin1, О.М. Semenenko2, Y.O. Kliat3, A.А. Sedliar4


1 Central Scientific and Research Institute of the Armed Forces of Ukraine, Kyiv, Ukraine

favorit_p@ukr.net

2 Central Scientific and Research Institute of the Armed Forces of Ukraine, Kyiv, Ukraine

Olehsemenenko9@gmail.com

3 Central Scientific and Research Institute of the Armed Forces of Ukraine, Kyiv, Ukraine

kliatyuriiol@ukr.net

4 Central Scientific and Research Institute of the Armed Forces of Ukraine, Kyiv, Ukraine

saa66ua@ukr.net

COMPARING THE RESULTS OF THE RANKING OF ALTERNATIVES
OBTAINED BY SEVERAL OPTIONS OF THE ANALYTIC HIERARCHY PROCESS

Abstract. It is noted that the analytic hierarchy process is one of the most widely used multi-criteria methods, and its calculation procedures have repeatedly become the object of various improvements and modifications. The presence of many variants of the analytic hierarchy process may result in the dependence of the determination of the best alternatives on the used variant of this method. A description of three variants of the analytic hierarchy process is provided: original, simplified, and fuzzy. Based on the results of solving a known example, these three options confirmed that they can lead to different rankings. It was concluded that in order to increase the validity of the recommendations for the person making the decision, it is advisable to carry out calculations according to several options, and it is advisable to make a decision about the superiority of one alternative over another only in case of convergence of the results of their comparison according to the majority of used options.

Keywords: analytic hierarchy process, fuzzy analytic hierarchy process, example of calculations, alternative ranking, simplified analytic hierarchy process.


full text

REFERENCES

  • 1. Aruldoss M., Lakshmi T.M., Venkatesan V.P. A survey on multi criteria decision making methods and its applications. American Journal of Information Systems. 2013. Vol. 1, Iss. 1. Р. 31–43. URL: https://pubs.sciepub.com/ajis .

  • 2. Moghaddam N.B., Nasiri M., Mousavi S.M. An appropriate multiple criteria decision making method for solving electricity planning problems, addressing sustainability issue. Int. J. Environ. Sci. Technol. 2011. Vol. 8, Iss. 3. Р. 605–620. URL: https://doi.org/10.1007/ BF03326246 .

  • 3. Saaty T.L., Kearns K.P. Analytical planning: the organization of system. Pergamon press, 1985. 216 p. URL: https://api.pageplace.de/preview .

  • 4. Mardani A., Jusoh A., Nor K. MD, Khalifah Z., Zakwan N., Valipour A. Multiple criteria decision-making techniques and their applications — a review of the literature from 2000 to 2014. Economic Research-Ekonomska Istraћivanja. 2015. Vol. 28, Iss. 1. P. 516–571. URL: https://dx.doi.org/10.1080 .

  • 5. Eltarabishi F., Omar O.H., Alsyouf I., Bettayeb M. Multi-criteria decision making methods and their applications — a literature review. Proc. the International Conference on Industrial Engineering and Operations Management (10–12 March 2020, Dubai, UAE). Dubai, 2020. P. 2654–2663. URL: https://www.ieomsociety.org/ieom2020 .

  • 6. Mironova N.A. Integration of modifications of the hierarchy analysis method for systems of support of group decision-making. Radioelectronics, informatics, management. 2011. N 2. P. 47–54. URL: URL: http://periodicals.zntu.edu.ua/index.php/1607-3274 .

  • 7. Potomkin M.M., Nikolaienko M.V., Grazion D.I. Improvement of analytic hierarchy process based on the refinement of the procedures for the formation of pairwise comparison matrices. Cybernetics and Systems Analysis. 2020. Vol. 56, N 4. P. 603–610. URL: https://doi.org/10.1007 .

  • 8. Romanchenko I.S., Potomkin M.M., Nikolaienko M.V., Grazion D.I. Approach to assessing the stability of ranking alternatives obtained by alanytic hierarchy process. Cybernetics and Systems Analysis. 2021. Vol. 57, N 6. P. 889–895. URL: .

  • 9. Nogin V.D. Decision-making with many criteria. Saint Petersburg: Yutas, 2007. 104 p.

  • 10. Nogin V.D. A simplified version of the method of hierarchy analysis based on nonlinear convolution of criteria. Zhurnal vychislitel'noy matematiki i matematicheskoy fiziki. 2004. Vol. 44. N 7. P. 1259–1268

  • 11. Potomkin M.M. Modified fuzzy method of analysis of hierarchies. Collection of reports of the scientific and practical conference with international participation "Decision support systems. Theory and practice". Kyiv: IPMMS of the National Academy of Sciences, 2011. P. 46–49

  • 12. Saaty T.L. The analytic hierarchy process. New York: McGraw-Hill, 1980. 287 p.

  • 13. Korneev V.V., Gareev A.F., Vasyutin S.V., Reich V.V. Databases. Intelligent information processing [in Russian]. Moscow: Knowledge, 2000. 352 p.

  • 14. Einstein A. The quotable Einstein. Princeton, N.J.: Princeton University Press, 1996. xxxiv, 269 p. URL: https://archive.org/details .




© 2024 Kibernetika.org. All rights reserved.