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Toward Reliability in the MCDA Rankings: Comparison of Distance-Based Methods

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Intelligent Decision Technologies

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 238))

Abstract

The decision-making process is a difficult problem, requiring the decision maker to consider the pros and cons of given options. Systems based on multi-criteria methods are increasingly used to support this. However, their number affects the difficulty of determining which of them is the right choice for a given problem and whether they guarantee similar results. In this paper, the three selected multi-critieria decision analysis (MCDA) methods were used to provide preferences values for alternatives. Decision matrix was created using different number of alternatives and criteria to check the impact of this change to final results. Three rankings were then subjected to two correlation coefficients. It shows that obtained rankings are highly similar, and greater amount of alternatives and criteria have a positive impact on received similarity.

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References

  1. Bazerman, M.H., Moore, D.A.: Judgment in Managerial Decision Making. Wiley & Sons, New York (2012)

    Google Scholar 

  2. Behzadian, M., Otaghsara, S.K., Yazdani, M., Ignatius, J.: A state-of the-art survey of TOPSIS applications. Expert Syst. Appl. 39(17), 13051–13069 (2012)

    Article  Google Scholar 

  3. Brasil Filho, A.T., Pinheiro, P.R., Coelho, A.L., Costa, N.C.: Comparison of two MCDA classification methods over the diagnosis of Alzheimer’ disease. In: International Conference on Rough Sets and Knowledge Technology, pp. 334–341. Springer, Berlin, Heidelberg (2009)

    Google Scholar 

  4. Chen, T.Y.: A signed-distance-based approach to importance assessment and multi-criteria group decision analysis based on interval type-2 fuzzy set. Knowl. Inf. Syst. 35(1), 193–231 (2013)

    Article  Google Scholar 

  5. Dehe, B., Bamford, D.: Development, test and comparison of two Multiple Criteria Decision Analysis (MCDA) models: A case of healthcare infrastructure location. Expert Syst. Appl. 42(19), 6717–6727 (2015)

    Article  Google Scholar 

  6. De Montis, A., De Toro, P., Droste-Franke, B., Omann, I., Stagl, S.: Assessing the quality of different MCDA methods. Altern. Environ. Valuation 4, 99–133 (2004)

    Google Scholar 

  7. Dezert, J., Tchamova, A., Han, D., Tacnet, J.M.: The SPOTIS rank reversal free method for multi-criteria decision-making support. In: 2020 IEEE 23rd International Conference on Information Fusion (FUSION), pp. 1–8. IEEE (2020)

    Google Scholar 

  8. Dulmin, R., Mininno, V.: Supplier selection using a multi-criteria decision aid method. J. Purch. Supply Manag. 9(4), 177–187 (2003)

    Article  Google Scholar 

  9. Giove, S., Brancia, A., Satterstrom, F.K., Linkov, I.: Decision support systems and environment: role of MCDA. In: Decision Support Systems for Risk-Based Management of Contaminated Sites, pp. 1–21. Springer, Boston (2009)

    Google Scholar 

  10. Hyde, K.M., Maier, H.R., Colby, C.B.: A distance-based uncertainty analysis approach to multi-criteria decision analysis for water resource decision making. J. Environ. Manage. 77(4), 278–290 (2005)

    Article  Google Scholar 

  11. Hyde, K.M., Maier, H.R.: Distance-based and stochastic uncertainty analysis for multi-criteria decision analysis in excel using visual basic for applications. Environ. Modell. Softw. 21(12), 1695–1710 (2006)

    Article  Google Scholar 

  12. Karczmarczyk, A., Wątróbski, J., Ladorucki, G., Jankowski, J.: MCDA-based approach to sustainable supplier selection. In: 2018 Federated Conference on Computer Science and Information Systems (FedCSIS), pp. 769–778. IEEE. (2018)

    Google Scholar 

  13. Kizielewicz, B., Sałabun, W.: A new approach to identifying a multi-criteria decision model based on stochastic optimization techniques. Symmetry 12(9), 1551 (2020)

    Article  Google Scholar 

  14. Kizielewicz, B., Kołodziejczyk, J.: Effects of the selection of characteristic values on the accuracy of results in the COMET method. Procedia Comput. Sci. 176, 3581–3590 (2020)

    Article  Google Scholar 

  15. Kizielewicz, B., Wątróbski, J., Sałabun, W.: Identification of relevant criteria set in the MCDA process-wind farm location case study. Energies 13(24), 6548 (2020)

    Article  Google Scholar 

  16. Klein, G.: Naturalistic decision making. Hum. Factors 50(3), 456–460 (2008)

    Article  Google Scholar 

  17. Mairiza, D., Zowghi, D., Gervasi, V.: Utilizing TOPSIS: a multi criteria decision analysis technique for non-functional requirements conflicts. In: Requirements Engineering, pp. 31–44. Springer, Berlin, Heidelberg (2014)

    Google Scholar 

  18. Opricovic, S., Tzeng, G.H.: Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur. J. Oper. Res. 156(2), 445–455 (2004)

    Article  Google Scholar 

  19. Saaty, T.L.: Decision making with the analytic hierarchy process. Int. J. Serv. Sci. 1(1), 83–98 (2008)

    Google Scholar 

  20. Sałabun, W.: How the normalization of the decision matrix influences the results in the VIKOR method? Procedia Comput. Sci. 176, 2222–2231 (2020)

    Article  Google Scholar 

  21. Sałabun, W.: The characteristic objects method: a new distance-based approach to multicriteria decision-making problems. J. Multi-Criteria Decis. Anal. 22(1–2), 37–50 (2015)

    Article  Google Scholar 

  22. Sałabun, W., Palczewski, K., Wątróbski, J.: Multicriteria approach to sustainable transport evaluation under incomplete knowledge: electric bikes case study. Sustainability 11(12), 3314 (2019)

    Article  Google Scholar 

  23. Sałabun, W., Piegat, A.: Comparative analysis of MCDM methods for the assessment of mortality in patients with acute coronary syndrome. Artif. Intell. Rev. 48(4), 557–571 (2017)

    Article  Google Scholar 

  24. Sałabun, W., Ziemba, P., Wątróbski, J.: The rank reversals paradox in management decisions: The comparison of the ahp and comet methods. In: International Conference on Intelligent Decision Technologies, pp. 181–191. Springer, Cham (2016)

    Google Scholar 

  25. Sałabun, W., Wątróbski, J., Shekhovtsov, A.: Are MCDA methods benchmarkable? A comparative study of TOPSIS, VIKOR, COPRAS, and PROMETHEE II methods. Symmetry 12(9), 1549 (2020)

    Article  Google Scholar 

  26. Shekhovtsov, A., Sałabun, W.: A comparative case study of the VIKOR and TOPSIS rankings similarity. Procedia Comput. Sci. 176, 3730–3740 (2020)

    Article  Google Scholar 

  27. Shekhovtsov, A., Kozlov, V., Nosov, V., Sałabun, W.: Efficiency of methods for determining the relevance of criteria in sustainable transport problems: a comparative case study. Sustainability 12(19), 7915 (2020)

    Article  Google Scholar 

  28. Stewart, T.J.: Dealing with uncertainties in MCDA. In: Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 445–466. Springer, New York (2005)

    Google Scholar 

  29. Wątróbski, J., Sałabun, W., Ladorucki, G.: The temporal supplier evaluation model based on multicriteria decision analysis methods. In: Asian Conference on Intelligent Information and Database Systems, pp. 432–442. Springer, Cham (2017)

    Google Scholar 

  30. Wątróbski, J., Jankowski, J.: Knowledge management in MCDA domain. In: 2015 Federated Conference on Computer Science and Information Systems (FedCSIS), pp. 1445–1450. IEEE (2015)

    Google Scholar 

  31. Wątróbski, J., Jankowski, J., Ziemba, P.: Multistage performance modelling in digital marketing management. Econ. Sociol. 9(2), 101 (2016)

    Article  Google Scholar 

  32. Wątróbski, J., Sałabun, W.: Green supplier selection framework based on multi-criteria decision-analysis approach. In: International Conference on Sustainable Design and Manufacturing, pp. 361–371. Springer, Cham (2016)

    Google Scholar 

  33. Wątróbski, J., Jankowski, J.: Guideline for MCDA method selection in production management area. In: New Frontiers in Information and Production Systems Modelling and Analysis, pp. 119–138. Springer, Cham (2016)

    Google Scholar 

  34. Wątróbski, J., Jankowski, J., Ziemba, P., Karczmarczyk, A., Zioło, M.: Generalised framework for multi-criteria method selection. Omega 86, 107–124 (2019)

    Article  Google Scholar 

  35. Więckowski, J., Kołodziejczyk, J.: Swimming progression evaluation by assessment model based on the COMET method. Procedia Comput. Sci. 176, 3514–3523 (2020)

    Article  Google Scholar 

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Acknowledgements

The work was supported by the project financed within the framework of the program of the Minister of Science and Higher Education under the name “Regional Excellence Initiative” in the years 2019–2022, Project Number 001/RID/2018/19;the amount of financing: PLN 10.684.000,00 (J.W.).

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Authors and Affiliations

  1. Research Team on Intelligent Decision Support Systems, Department of Artificial Intelligence and Applied Mathematics, Faculty of Computer Science and Information Technology, West Pomeranian University of Technology in Szczecin, ul. Żołnierska 49, Szczecin, 71-210, Poland

    Andrii Shekhovtsov & Jakub Więckowski

  2. Institute of Management, University of Szczecin, Aleja PapieŻa Jana Pawła II 22A, Szczecin, 71-210, Poland

    Jarosław Wątróbski

Authors
  1. Andrii Shekhovtsov
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  2. Jakub Więckowski
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  3. Jarosław Wątróbski
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Correspondence to Jarosław Wątróbski .

Editor information

Editors and Affiliations

  1. Gdynia Maritime University, Gdynia, Poland

    Ireneusz Czarnowski

  2. Bournemouth University, Poole, UK

    Robert J. Howlett

  3. KES International, Shoreham-by-Sea, UK

    Lakhmi C. Jain

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Shekhovtsov, A., Więckowski, J., Wątróbski, J. (2021). Toward Reliability in the MCDA Rankings: Comparison of Distance-Based Methods. In: Czarnowski, I., Howlett, R.J., Jain, L.C. (eds) Intelligent Decision Technologies. Smart Innovation, Systems and Technologies, vol 238. Springer, Singapore. https://doi.org/10.1007/978-981-16-2765-1_27

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