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ReS-Algorithm for Converting Normalized Values of Cost Criteria Into Benefit Criteria in MCDM Tasks

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  • Irik Z. Mukhametzyanov

    (Ufa State Petroleum Technological University, Kosmonavtov, Str., 1, Ufa, 450062, Republic of Bashkortostan, Russia2Center for Strategic and Interdisciplinary Research, Ufa Federal Research Centre of the Russian Academy of Sciences, October Avenue, 71, Ufa, 450054, Republic of Bashkortostan, Russia)

Abstract

A review of modern methods of data normalization in the tasks of multicriteria decision-making and multidimensional classification is presented. The invariant properties of linear normalization methods are determined. Two basic principles of normalization of multidimensional data are defined: preservation of dispositions of natural and normalized values on the measurement scale and the absence of a displacement in the areas of normalized values of various criteria relative to each other. A method is proposed for converting normalized values of cost criteria to profit criteria based on the reverse sorting algorithm (ReS-algorithm). The ReS-algorithm preserves the dispositions of the natural and normalized values of the attributes of the alternatives and eliminates the displacement the areas of normalized values of the cost criteria relative to the profit criteria, which ensures the equality of the contributions of various criteria to the performance indicator of the alternatives.

Suggested Citation

  • Irik Z. Mukhametzyanov, 2020. "ReS-Algorithm for Converting Normalized Values of Cost Criteria Into Benefit Criteria in MCDM Tasks," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(05), pages 1389-1423, August.
    • Handle: RePEc:wsi:ijitdm:v:19:y:2020:i:05:n:s0219622020500327
    DOI: 10.1142/S0219622020500327
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    Cited by:

    1. Selcan Özbayrak & Alp Özdemir, 2025. "Developing a framework system for sustainability performance of cities: a case of Eskisehir city, Türkiye," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 27(2), pages 5001-5037, February.
    2. Haofeng Lin & Houyem Zrelli & Noha Hassan abd Algalil Mohamed & Yonghui Li & Mohammad Mahtab Alam & Wei Guo & Yousaf Ali Khan, 2022. "The impact of agricultural water salvation investment on economics development: Evidence from Eastern China," PLOS ONE, Public Library of Science, vol. 17(7), pages 1-14, July.

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