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The Pairwise Comparison Model: The Multiplicative and the Additive Approach

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Modeling Decisions for Artificial Intelligence (MDAI 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3885))

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Abstract

The aim of this work is to study some of the differences between the additive and multiplicative representations associated with the Analytic Hierarchy Process. We present the Method of Pair Comparisons with the study of its properties from the point of view of representational measurement theory and scaling theory. From the first point of view it is impossible to differentiate two types of representations and therefore, the distinction has to be done in terms of the type of task that the subjects perform. The conclusion establishes some differences and relationships between the task of making judgments of proportion and judgments of distance.

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Author information

Authors and Affiliations

  1. Depto de Psicología Social y Metodología de las Ciencias del Comportamiento, Facultad de Psicología, Universidad de Granada, 18071, Granada, Spain

    Antonio Jesús Herencia-Leva & Cristino Pérez-Meléndez

  2. Depto de Ciencias de la Computación e Inteligencia Artificial, E.T.S de Ingeniería Informática, Universidad de Granada, 18071, Granada, Spain

    M. Teresa Lamata

Authors
  1. Antonio Jesús Herencia-Leva
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  2. M. Teresa Lamata
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  3. Cristino Pérez-Meléndez
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Editor information

Editors and Affiliations

  1. IIIA, Artificial Intelligence Research Institute CSIC, Spanish National Research Council, Campus UAB s/n, Catalonia, 08193, Bellaterra, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10 Naka, 186-0004, Tokyo, Kunitachi, Japan

    Yasuo Narukawa

  3. Department of Computer Science and Mathematics Intelligent Technologies for Advanced Knowledge Acquisition Research Group,, University Rovira i Virgili, Av. Països Catalans, 26., 43007, Tarragona, Catalonia, Spain

    Aïda Valls

  4. Department of Computer Engineering and Mathematics, Universitat Rovira i Virgili, UNESCO Chair in Data Privacy, Av. Països Catalans 26, E-43007, Tarragona, Catalonia, Spain

    Josep Domingo-Ferrer

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© 2006 Springer-Verlag Berlin Heidelberg

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Herencia-Leva, A.J., Lamata, M.T., Pérez-Meléndez, C. (2006). The Pairwise Comparison Model: The Multiplicative and the Additive Approach. In: Torra, V., Narukawa, Y., Valls, A., Domingo-Ferrer, J. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2006. Lecture Notes in Computer Science(), vol 3885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11681960_9

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  • DOI: https://doi.org/10.1007/11681960_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-32780-6

  • Online ISBN: 978-3-540-32781-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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