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The Quantitative Importance of Criteria with a Continuous First-Order Metric Scale

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Abstract

Simple decision rules for constructing preferential relations in the presence of quantitative estimates on the relative importance of criteria and information that the growth of preferences decreases with the gradations on a common continuous scale.

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REFERENCES

  1. Podinovski, V.V., The Quantitative Importance of Criteria for MCDA, JMCDA, 2002, vol. 11, pp. 1–15.

    Google Scholar 

  2. Podinovskii, V.V., Quantitative Importance of Criteria, Avtom. Telemekh., 2000, no. 5, pp. 110–123.

  3. Keeney, R.L. and Raifa, H., Decisions with Multiple Objectives: Preferences and Value Trade-offs, New York: Wiley, 1976. Translated under the title Prinyatie reshenii pri mnogikh kriteriyakh: predpochteniya i zameshcheniya, Moscow: Radio i Svyaz', 1981.

    Google Scholar 

  4. Fishburn, P.C., Decision and Value Theory, New York: Wiley, 1964.

    Google Scholar 

  5. Podinovskii, V.V., The Quantitative Importance of Criteria with a Discrete First-Order Metric Scale, Avtom. Telemekh., 2004, no. 8, pp. 196–203.

  6. Gaft, M.G. and Podinovskii, V.V., Construction of Decision Rules for Decision Making Problems, Avtom. Telemekh., 1981, no. 6, pp. 128–138.

  7. Podinovskii, V.V., Multicriteria Problems with Homogeneous Equi-Value Criteria, Zh. Vychisl. Mat. Mat. Fiz., 1975, no. 2, pp. 330–344.

  8. Poginovskii, V.V., An Asymptotic Approach to Estimation of Importance of Criteria in Multicriteria Decision Analysis, in Sovremennoe sostoyanie teorii issledovaniya operatsii (The State-of-the-Art in Operations Research), Moscow: Nauka, 1979.

    Google Scholar 

  9. Marshall, A. and Olkin, I., Inequalities: Theory of Majorization and Its Applications, New York: Academic, 1979. Translated under the title Neravenstva: teoriya mazhorizatsii i ee prilozheniya, Moscow: Mir, 1983.

    Google Scholar 

  10. Hanoch, G. and Levy, H., The Efficiency Analysis of Choice Involving Risk, Rev. Econom. Studies, 1969, vol. 36, pp. 335–346.

    Google Scholar 

  11. Nikaido, K., Convex Structures and Economic Theory, New York: Academic, 1968. Translated under the title Vypuklye struktury i matematicheskaya economika, Moscow: Mir, 1972.

    Google Scholar 

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Translated from Avtomatika i Telemekhanika, No. 9, 2005, pp. 129–137.

Original Russian Text Copyright © 2005 by Podinovskii.

This work was supported by the Russian Foundation for Basic Research, project no. 02-01-00488.

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Podinovskii, V.V. The Quantitative Importance of Criteria with a Continuous First-Order Metric Scale. Autom Remote Control 66, 1478–1485 (2005). https://doi.org/10.1007/s10513-005-0186-y

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