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Normalization and MCDM Rank Model

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Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 348))

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Abstract

The description of multidimensional normalization scales is carried out and the general principles of normalization of multidimensional data are formulated. This is the preservation of order and proportions between natural and normalized values on separate scales. General approaches of goal inversion for cost criteria are given. A description of anisotropic scaling in the transition to conditionally general normalized scales is given. The use of non-linear normalization to eliminate the asymmetry of the original data is discussed. Examples of weak and high sensitivity of the decision from the choice of the normalization method are shown, due to the priorities of alternatives according to individual criteria.

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Authors and Affiliations

  1. Department of Information Technologies and Applied Mathematics, Ufa State Petroleum Technological University, Ufa, Russia

    Irik Z. Mukhametzyanov

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  1. Irik Z. Mukhametzyanov
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Mukhametzyanov, I.Z. (2023). Normalization and MCDM Rank Model. In: Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems. International Series in Operations Research & Management Science, vol 348. Springer, Cham. https://doi.org/10.1007/978-3-031-33837-3_3

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