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Numerical scaling of ratio scale utilities in multi-criteria decision analysis with geometric model

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  • P Leskinen

    (Finnish Forest Research Institute, Joensuu Research Unit)

Abstract

The ratio scale measurement of utilities in multi-criteria decision analysis has been criticised due to theoretical and practical interpretation of the required assessments. Compared to the ratio scale models, for example, the ‘0–1-scale’ models based on interval scale have been more generally accepted. On the other hand, under some conditions it has been shown that the results of multi-criteria decision support based on ratio scale comparisons are actually independent of the numerical magnitude of the ratio scale assessments. This paper reviews and interprets these results and proposes new solutions for the remaining problems, for which the numerical magnitude of the ratio scale utilities is required. Moreover, we interpret the scale-independent ratio scale models with respect to some other multi-criteria decision support models. The theoretical analysis is carried out by statistical models and illustrated by numerical examples.

Suggested Citation

  • P Leskinen, 2008. "Numerical scaling of ratio scale utilities in multi-criteria decision analysis with geometric model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 407-415, March.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:3:d:10.1057_palgrave.jors.2602364
    DOI: 10.1057/palgrave.jors.2602364
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    References listed on IDEAS

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    1. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834.
    2. J Yue & B Chen & M-C Wang, 2006. "Generating ranking groups in the analytical hierarchy process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(2), pages 190-201, February.
    3. P Leskinen & J Kangas, 2005. "Rank reversals in multi-criteria decision analysis with statistical modelling of ratio-scale pairwise comparisons," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(7), pages 855-861, July.
    4. Huizingh, Eelko K. R. E. & Vrolijk, Hans C. J., 1997. "A Comparison of Verbal and Numerical Judgments in the Analytic Hierarchy Process," Organizational Behavior and Human Decision Processes, Elsevier, vol. 70(3), pages 237-247, June.
    5. M M Akarte & N V Surendra & B Ravi & N Rangaraj, 2001. "Web based casting supplier evaluation using analytical hierarchy process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(5), pages 511-522, May.
    6. Moshkovich, Helen M. & Mechitov, Alexander I. & Olson, David L., 2002. "Ordinal judgments in multiattribute decision analysis," European Journal of Operational Research, Elsevier, vol. 137(3), pages 625-641, March.
    7. M Tavana, 2006. "A priority assessment multi-criteria decision model for human spaceflight mission planning at NASA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1197-1215, October.
    8. D Y Sha & Z H Che, 2006. "Supply chain network design: partner selection and production/distribution planning using a systematic model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(1), pages 52-62, January.
    9. Leskinen, Pekka & Kangas, Annika S. & Kangas, Jyrki, 2004. "Rank-based modelling of preferences in multi-criteria decision making," European Journal of Operational Research, Elsevier, vol. 158(3), pages 721-733, November.
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    Cited by:

    1. Tanja Myllyviita & Katja Lähtinen & Teppo Hujala & Leena Leskinen & Lauri Sikanen & Pekka Leskinen, 2014. "Identifying and rating cultural sustainability indicators: a case study of wood-based bioenergy systems in eastern Finland," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 16(2), pages 287-304, April.

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