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A Multidimensional Scaling Model for Qualitative Pair Wise Comparisons

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Improving Decision Making in Organisations

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 335))

Abstract

A multidimensional scaling model, QualScal, is developed for the case where the decision maker is only prepared to make qualitative comparisons for pairs of policies, stating whether he is indifferent between two policies or which one he prefers. Quantitative distance information is derived using the successive neighbour method. The scaling is done by a modified version of the Kruskal nonmetric multidimensional scaling method. In this a novel procedure for scaling disjoint subsets, i.e. subsets containing no inter-subset indifferences, has been incorporated. The model is evaluated by using numerically valued policies generated with a random variate to introduce a measure of inconsistency and then comparing the results with the original numerical values. Two applications to published data are discussed.

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Ā© 1989 Springer-Verlag Berlin Heidelberg

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SchreĆ¼der, W.A., van Dyk, E. (1989). A Multidimensional Scaling Model for Qualitative Pair Wise Comparisons. In: Lockett, A.G., Islei, G. (eds) Improving Decision Making in Organisations. Lecture Notes in Economics and Mathematical Systems, vol 335. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49298-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-49298-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51795-5

  • Online ISBN: 978-3-642-49298-3

  • eBook Packages: Springer Book Archive

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