<div>
	The objectification method of the weight coefficients for decision-making in multicriteria problems</div>

Denis S. Solovjev

2023 , VOLUME 23, NUMBER 0 ( )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

Publications

Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.

Partners

doi: 10.17586/2226-1494-2023-23-1-161-168

The objectification method of the weight coefficients for decision-making in multicriteria problems

D. S. Solovjev

Read the full article

Article in Russian

For citation:

Solovjev D.S. The objectification method of the weight coefficients for decision-making in multicriteria problems. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2023, vol. 23, no. 1, pp. 161–168 (in Russian). doi: 10.17586/2226-1494-2023-23-1-161-168

Abstract

The contradiction in the concept of “solution uniqueness” arises when determining weight coefficients in multicriteria problems for the same initial data in order to assess the criteria importance based on existing qualitative and quantitative approaches. This leads to a decrease in the degree of confidence in the decisions made. Thus, it is required to determine the objectivity degree of the weighting coefficients used. The objectification of the weight coefficients for decision-making problems is the purpose of the study. The article proposes a combination of qualitative and quantitative approaches to determine weight coefficients with a given consistency. The weight coefficients matrix is formed (quantitative approach). This matrix is correlated with the rank matrix (qualitative approach). The optimization problem is solved to obtain a given consistency coefficient using the rank matrix. The proposed method application is demonstrated by the example of solving the problem of choosing the best alternative in multicriteria problem. The calculation of the weight coefficients is carried out using the developed software in the Python. The solution is reduced to a single-objective problem based on the maximin approach using the found weight coefficients. Thus, solving the problem with a given consistency ensures the result objectivity and increases the decision confidence. The proposed method can be used in assessing the criteria importance without the need for the participation of the decision maker.

Keywords: method, objectivity, consistency, weight coefficients, decision-making, optimization, multicriteria problem

References

Ionov M.V., Bolgova E.V., ZvartauN.E., AvdoninaN.G., BalakhontcevaM.A., KovalchukS.V., KonradiA.O. Implementationofa clinical decision support system to improve the medical data quality for hypertensive patients. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2022, vol. 22, no. 1, pp. 217–222. (in Russian). https://doi.org/10.17586/2226-1494-2022-22-1-217-222
Zubkova T.M., Tagirova L.F., Таgirоv V.K. Prototyping of adaptive user application programming interfaces by artificial intelligence methods. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2019, vol. 19, no. 4, pp. 680–688. (in Russian). https://doi.org/10.17586/2226-1494-2019-19-4-680-688
Repetski E.J., Sarkani S., Mazzuchi T. Applying the analytic hierarchy process (AHP) to expert documents. International Journal of the Analytic Hierarchy Process, 2022, vol. 14, no. 1. https://doi.org/10.13033/ijahp.v14i1.919
Mashunin K.Y., Mashunin Y.K. Vector optimization with equivalent and priority criteria. Journal of Computer and Systems Sciences International, 2017, vol. 56, no. 6, pp. 975–996. https://doi.org/10.1134/S1064230717060119
Lotfi F.H., Fallahnejad R. Imprecise Shannon’s entropy and multi attribute decision making. Entropy, 2010, vol. 12, no. 1, pp. 53–62. doi: 10.3390/e12010053
Wang Y.M., Luo Y. Integration of correlations with standard deviations for determining attribute weights in multiple attribute decision making. Mathematical and Computer Modelling, 2010, vol. 51, no. 1–2, pp. 1–12. https://doi.org/10.1016/j.mcm.2009.07.016
Keshavarz-Ghorabaee M., Amiri M., Zavadskas E. K., Turskis Z., Antucheviciene J. Determination of objective weights using a new method based on the removal effects of criteria (MEREC). Symmetry, 2021, vol. 13, no. 4, pp. 525. https://doi.org/10.3390/sym13040525
Krishnan A.R, Kasim M.M, Hamid R., Ghazali M.F. A modified CRITIC method to estimate the objective weights of decision criteria. Symmetry, 2021, vol. 13, no. 6, pp. 973. https://doi.org/10.3390/sym13060973
Zavadskas E.K., Podvezko V. Integrated determination of objective criteria weights in MCDM. International Journal of Information Technology & Decision Making, 2016, vol. 15, no. 2, pp. 267–283. doi:10.1142/S0219622016500036
Podvezko V., Zavadskas E.K., Podviezko A. An extension of the new objective weight assessment methods CILOS and IDOCRIW to fuzzy MCDM. Economic Computation and Economic Cybernetics Studies and Research, 2020, no. 2, pp. 59–75. https://doi.org/10.24818/18423264/54.2.20.04
Shuai D., Zongzhun Z., Yongji W., Lei L. A new angular method to determine the objective weights. Proc. of the 24^th Chinese Control and Decision Conference (CCDC), 2012, pp. 3889–3892. https://doi.org/10.1109/CCDC.2012.6244621
Li G., Chi G. A New Determining Objective Weights Method-Gini Coefficient Weight. Proc. of the First International Conference on Information Science and Engineering, 2009, pp. 3726–3729. https://doi.org/10.1109/ICISE.2009.84
Rao R.V., Patel B.K. A subjective and objective integrated multiple attribute decision making method for material selection. Materials & Design, 2010, vol. 31, no. 10, pp. 4738–4747. https://doi.org/10.1016/j.matdes.2010.05.014
Solovjev D.S., Solovjeva I.A. Development and research of the optimal control system of electroplated processes in multi-anode baths. Mekhatronika, Avtomatizatsiya, Upravlenie, 2022, vol. 23, no. 9, pp. 462–472. (in Russian). https://doi.org/10.17587/mau.23.462-472
Solovjev D.S., Solovjeva I.A., Konkina V.V., Litovka Y.V. Improving the uniformity of the coating thickness distribution during electroplating treatment of products using multi anode baths. Materials Today: Proceedings, 2019, vol. 19, no. 5, pp. 1895–1898. https://doi.org/10.1016/j.matpr.2019.07.036
Solovjev D.S., Potlov A.Y., Litovka Y.V. Reduction of nonuniformity in the thickness of a galvanic coating using disableable anode sections under current reversal conditions. Theoretical Foundations of Chemical Engineering, 2019, vol. 53, no. 1, pp. 97–106. https://doi.org/10.1134/S004057951806012X
Solovjev D.S., Solovjeva I.A., Konkina V.V. Software development for the optimal parts location in the bath space with the purpose to reduce the non-uniformity of the coating thickness. Proceedings of the 6^th International Conference on Industrial Engineering (ICIE 2020), 2021, pp. 85–93. https://doi.org/10.1007/978-3-030-54817-9_10
PchelintsevaI.Yu., LitovkaYu.V. Automated control system for the process of electroplating in a bath with a non-conductive of electric current screen. Mekhatronika, Avtomatizatsiya, Upravlenie, 2022, vol. 23, no. 4, pp. 188–196. (in Russian). https://doi.org/10.17587/mau.23.188-196
Karimian N., Hashemi P., Afkhami A., Bagheri H. The principles of bipolar electrochemistry and its electroanalysis applications. Current Opinion in Electrochemistry, 2019, vol. 17, pp. 30–37. https://doi.org/10.1016/j.coelec.2019.04.015.
Volgin V.M., Lyubimov V.V., Gnidina I.V., Kabanova T.B., Davydov A.D. Effect of Anode Shape on Uniformity of Electrodeposition onto Resistive Substrates. Electrochimica Acta, 2017, vol. 230, pp. 382–390. https://doi.org/10.1016/j.electacta.2017.02.015
Gardziejczyk W., Zabicki P. Normalization and variant assessment methods in selection of road alignment variants – case study. Journal of Civil Engineering and Management, 2017, vol. 23, no. 4, pp. 510–523. https://doi.org/10.3846/13923730.2016.1210223
Solovjev D.S., Solovjeva I.A. Determination of weight coefficients with a given consistency in multicriteria decision-making problems. Computer program registration certificate RU2022665895, 2022.

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License