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Inversion of Normalized Values: ReS-Algorithm

In: Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems

Author

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  • Irik Z. Mukhametzyanov

    (Ufa State Petroleum Technological University)

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.

Suggested Citation

  • Irik Z. Mukhametzyanov, 2023. "Inversion of Normalized Values: ReS-Algorithm," International Series in Operations Research & Management Science, in: Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems, chapter 0, pages 95-109, Springer.
    • Handle: RePEc:spr:isochp:978-3-031-33837-3_5
    DOI: 10.1007/978-3-031-33837-3_5
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