Normalization and MCDM Rank Model

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

Chapter Chapter 3 in Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems, 2023, pp 41-69 from Springer

Abstract: 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.

Keywords: Multivariate normalization; Additive significance of attributes; Asymmetry; The outlier detection; Goal inversion; Isotropy of scales (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_3

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DOI: 10.1007/978-3-031-33837-3_3

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