Cybernetics And Systems Analysis logo
Editorial Board Announcements Abstracts Authors Archive
Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.816
M.M. Potomkin1, M.V. Nikolaienko2, D.I. Grazion3


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

favorite_p@ukr.net

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

nikolaenko.max.2013@gmail.com

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

denion@ukr.net

IMPROVED ANALYTIC HIERARCHY PROCESS ON THE BASIS
OF CLARIFICATION OF FORMATION PROCEDURES FOR MATRIX
OF PAIRED COMPARISONS

Abstract. The paper provides a general description of analytic hierarchy process and approaches to it improvement. It shows that premise for successful using of analytic hierarchy process is an availability of the matrix of paired comparisons obtained according to the expert survey results, which are consistent and adequately reflects expert judgment. It is obtained that modern approaches do not provide such a requirement in full. Therefore, the following process improvements are proposed: a two-step expert survey procedure based on the use of formalized cards to be filled by experts, and mathematical dependencies that bring the uncoordinated pair comparison matrices to consistency. The possibility of practical use of the proposed approach to obtain consistent matrices of pair comparisons is illustrated by an example of calculations. In general, the proposed improvements increase the substantiation of decisions that are made based on the obtained results by using the analytic hierarchy process.

Keywords: analytic hierarchy process, pair comparison matrix, pair comparison matrix consistency, expert survey.



FULL TEXT

REFERENCES

  1. Saati T., Kearns K. Analytical planning. Organization of systems [Russian translation]. Moscow: Radio i svyaz', 1991. 224 p.

  2. Zagorka O.M., Mosov S.P., Sbitnev A.I., Stuzhuk P.I. Elements of research of complex systems of military purpose [in Ukrainian]. Kyiv: NAOU, 2005. 100 p.

  3. 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, N 1. Р. 31–43.

  4. Moghaddam N.B., Nasiri M., Mousavi S.M. An appropriate multiple criteria decision making method for solving electricity planning problems, addressing sustainability issue. Int. Journal Environ. Sci. Tech. 2011. Vol. 8, N 3. Р. 605–620.

  5. Darji V.P., Rao R.V. Application of AHP/EVAMIX method for decision making in the industrial environment. American Journal of Operations Research. 2013. Vol. 3, N 6. Р. 542–569.

  6. Thor J., Ding S.-H., Kamaruddin S. Comparison of multi criteria decision making methods from the maintenance alternative selection perspective. The International Journal of Engineering and Science. 2013. Vol. 2, Iss. 6. Р. 27–34.

  7. Chung K.-C., Chang L.-C. Combining MCDM methods and AHP to improve TTQS: a case study of the VETC. International Education Studies. 2015. Vol. 8, N 3. Р. 24–34.

  8. Mironova N. Integration of modifications of the hierarchy analysis method for support systems for making group decisions. Radio electronics, informatics, control. 2011. N 2. P. 47–54.

  9. Stetsyuk P.I., Andriyash M.M. Saati method for the analysis of indicators of tax transformation. Computer mathematics. 2016. N 1. P. 37–45.

  10. Latypova V.A. On the application of approximate calculation methods in the method of hierarchy analysis. Internet journal "Science of Science". 2017. Vol. 9, N 6. URL: https://naukovedenie.ru/PDF/146TVN617.pdf.

  11. Moshchenko I.N., Pirogov E.V. To the selection of the rating scale in the method of hierarchy analysis. Electronic scientific journal "Engineering Journal of the Don". 2017. N 4. URL: https://ivdon.ru/ru/ magazine/archive/n4y2017/4725.

  12. Kaygorodtsev A.A. Adaptation of the hierarchy analysis method to the solution of the problem of supply chain configuration. Modern problems of the transport complex of Russia. 2014. N 5. P. 21–25.

  13. Nogin V.D. Decision making under many criteria: Manual [in Russian]. SPb .: UTAS, 2007. 104

  14. Trofimets V.Ya. On the issue of developing auxiliary computational procedures for the hierarchy analysis method. Email The magazine "Investigated in Russia". URL: http://zhurnal.ape.relarn.ru/ articles/2004/079.html.

  15. Nogin V.D. A simplified version of the hierarchy analysis method based on non-linear convolution of criteria. Zhurn. vych. mat. i mat. fiziki. 2004. Vol. 44, N 7. P. 1259–1268.

  16. Margasov D.V., Sakhno E.Yu., Skeeter I.S. Development of a model and modification of the method of analysis of hierarchies to assess the level of energy efficiency. Eastern European Journal of Advanced Technology. 2015. Vol. 5, N 2 (77). P. 26–32.

  17. Novik F.S., Arsov Ya.B. Optimization of metal technology processes by experimental design methods [in Russian]. Moscow: Engineering; Sofia: Technique, 1980. 304 p.
© 2020 Kibernetika.org. All rights reserved.