Abstract:
The model of multicriterion preferences is proposed and proved, in which preference relation is formed on the basis of interval estimates of criteria value tradeoffs; this model differs from the previous one by the fact that intervals of value tradeoff uncertainty are open. The question of obtaining such estimates is considered. Possibility of application the model to the analysis of multicriterion problems within the limits of the iteration approach is demonstrated.
Citation:
O. R. Men'shikova, V. V. Podinovskii, “Preference relation with intervals of value tradeoff uncertainty”, Avtomat. i Telemekh., 2007, no. 6, 157–165; Autom. Remote Control, 68:6 (2007), 1075–1082
\Bibitem{MenPod07}
\by O.~R.~Men'shikova, V.~V.~Podinovskii
\paper Preference relation with intervals of value tradeoff uncertainty
\jour Avtomat. i Telemekh.
\yr 2007
\issue 6
\pages 157--165
\mathnet{http://mi.mathnet.ru/at1008}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2352086}
\zmath{https://zbmath.org/?q=an:1142.93307}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 6
\pages 1075--1082
\crossref{https://doi.org/10.1134/S0005117907060136}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547271086}
Linking options:
https://www.mathnet.ru/eng/at1008
https://www.mathnet.ru/eng/at/y2007/i6/p157
This publication is cited in the following 4 articles:
V. V. Podinovski, “Sensitivity analysis of multicriteria choice to changes in intervals of value tradeoffs”, Comput. Math. Math. Phys., 58:3 (2018), 461–469
V. V. Podinovskii, “Using interval information on relative criteria tradeoffs in analyzing multicriterial decision making problems”, Autom. Remote Control, 71:8 (2010), 1648–1660
Engau A., “Tradeoff-based decomposition and decision-making in multiobjective programming”, European J Oper Res, 199:3 (2009), 883–891
V. V. Podinovskii, “Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems”, Comput. Math. Math. Phys., 48:11 (2008), 1981–1998