Abstract
An analysis presented in (Podinovskii, 1991) shows that the concept of criteria importance is a representation of a special kind of regularity of preference structures. This regularity provides increase or stability of preferences under specific ratio of increments of those components of vector estimates which correspond to the criteria compared by importance (with all other components fixed). We present here some basic results of the theory of symmetrical importance — which is one of the most developed sections of the general theory — and discuss possibilities of its applications.
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References
Podinovskii, V.V. (1991). Criteria Importance Theory. In: A. Lewandowski and V. Volkovich, eds., Multiobjective Problems of Mathematical Programming, Berlin, Springer Verlag, Vol.351, pp.64–70.
Podinovskii, V.V. (1975). Multicriterial Problems with Uniform Equivalent Criteria. USSR Computational Mathematics and Mathematical Physics, Vol. 15, No.2, pp.47–60.
Podinovskii, V.V. (1976). Multicriterial Problem with Importance-Ordered Criteria. Automation and Remote Control, Vol. 37, No. 11, Part 2, pp. 1728–1736.
Podinovskii, V.V. (1978). Importance Coefficients of Criteria in Decision-Making Problems. Automation and Remote Control, Vol. 39, No. 11, Part 2, pp. 1514–1524.
Podinovskii, V.V. (1978). On Relative Importance of Criteria in Multiobjective Decision-Making Problems. In: Multiobjective Decision Problems, Mashinostroenie Publishing House, Moscow, pp. 48–92, (in Russian).
Podinovskii, V.V. (1979). An Axiomatic Solution of the Problem of Criteria Importance in Multicriterial Problems. In: Operation Research Theory: State of the Art, Nauka, Moskow, pp. 117–1499, (in Russian).
Kirkwood, C.W. and Sarin, R.K. (1985). Ranking with Partial Information: A Method and an Application. Operations Research, Vol.33, No.1, pp.38–48.
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© 1993 Springer-Verlag Berlin Heidelberg
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Podinovskii, V.V. (1993). Problems with Importance-Ordered Criteria. In: Wessels, J., Wierzbicki, A.P. (eds) User-Oriented Methodology and Techniques of Decision Analysis and Support. Lecture Notes in Economics and Mathematical Systems, vol 397. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22587-5_14
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DOI: https://doi.org/10.1007/978-3-662-22587-5_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-56382-2
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