Inversion of Normalized Values: ReS-Algorithm

Irik Z. Mukhametzyanov
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Irik Z. Mukhametzyanov: Ufa State Petroleum Technological University

Chapter Chapter 5 in Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems, 2023, pp 95-109 from Springer

Abstract: Abstract A review of modern methods for inverting attribute values that have opposite goals in problems of multi-criteria decision-making and multidimensional classification is presented. A detailed description of the problems of attribute value inversion is given. A universal method for inverting normalized values based on the Reverse Sorting Algorithm (ReS-algorithm) is presented. The ReS-algorithm preserves the dispositions of natural and normalized values of the attributes of alternatives and eliminates the shift in the area of normalized values. The ReS-algorithm demonstrates the lack of influence of the inverse transformation on the ranking of alternatives compared to existing inversion methods.

Keywords: Multivariate normalization; Optimization goal inversion; Reverse Sorting (ReS) algorithm (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-3-031-33837-3_5

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DOI: 10.1007/978-3-031-33837-3_5

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