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

Irik Z. Mukhametzyanov
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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

International Journal of Information Technology & Decision Making (IJITDM), 2020, vol. 19, issue 05, 1389-1423

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.

Keywords: Multicriteria decision-making; normalization of multidimensional data; normalization values of the cost criteria; reverse sorting (ReS) algorithm for converting normalized values of the cost criteria in to the benefit criteria (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0219622020500327

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