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A new similarity measure for rankings obtained in MCDM problems using different normalization techniques

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  • Dariusz Kacprzak

Abstract

The paper presents an analysis of the impact of normalization techniques on the ranking of alternatives obtained using the combined compromise solution (CoCoSo) method. Similarity measures known from the literature and a new measure called the TOPSIS similarity measure (TOPSIS-SM) are used to assess the resulting rankings. This new measure is based on the TOPSIS algorithm, where the arithmetic mean of the considered rankings is taken as the ideal solution. In contrast, the antiideal solution is divided into a minimum and a maximum solution, which exhibit maximum separation from the ideal solution. The results obtained by this new method are different from those obtained using other similarity measures known from the literature.

Suggested Citation

  • Dariusz Kacprzak, 2024. "A new similarity measure for rankings obtained in MCDM problems using different normalization techniques," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(2), pages 47-64.
    • Handle: RePEc:wut:journl:v:34:y:2024:i:2:p:47-64:id:4
    DOI: 10.37190/ord240204
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    References listed on IDEAS

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    1. Nazanin Vafaei & Rita A. Ribeiro & Luis M. Camarinha-Matos, 2018. "Data normalisation techniques in decision making: case study with TOPSIS method," International Journal of Information and Decision Sciences, Inderscience Enterprises Ltd, vol. 10(1), pages 19-38.
    2. C. West Churchman & Russell L. Ackoff, 1954. "An Approximate Measure of Value," Operations Research, INFORMS, vol. 2(2), pages 172-187, May.
    3. Marek Walesiak, 2018. "The Choice Of Normalization Method And Rankings Of The Set Of Objects Based On Composite Indicator Values," Statistics in Transition New Series, Polish Statistical Association, vol. 19(4), pages 693-710, December.
    4. Morteza Yazdani & Pascale Zaraté & Edmundas Kazimieras Zavadskas & Zenonas Turskis, 2019. "A Combined Compromise Solution (CoCoSo) method for multi-criteria decision-making problems," Post-Print hal-02879091, HAL.
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