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Multidimensional Measurement

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Measurement and Probability

Part of the book series: Springer Series in Measurement Science and Technology ((SSMST))

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Abstract

Multidimensional measurement concerns properties that depend upon more than one attribute [1, 2].

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Notes

  1. 1.

    We will discuss the important notion of distance in a moment.

  2. 2.

    The theory developed in this subsection is related to the theory of absolute difference structures ([6] pp. 170–177) and also accounts for the theory of proximity measurement ([7], Chap. 14, pp. 159–174).

  3. 3.

    Note that we write here \(S=(s_{0},\ldots ,s_{n})\), rather than \(S=\{s_{0},\ldots ,s_{n}\}\) as we usually do, since we want to regard \(S\) as an ordered set.

  4. 4.

    Here we assume, for the sake of simplicity, that the state space and the corresponding numerical space have the same dimension, that is p=q.

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Authors and Affiliations

  1. DIME Laboratorio di Misure, Universita degli Studi di Genova, Genova, Italy

    Giovanni Battista Rossi

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  1. Giovanni Battista Rossi
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Correspondence to Giovanni Battista Rossi .

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Rossi, G.B. (2014). Multidimensional Measurement . In: Measurement and Probability. Springer Series in Measurement Science and Technology. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8825-0_7

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