Abstract:
An approach to solving multi-objective optimization based on the use of aggregated criteria as a linear convolution of individual criteria, where the weights are obtained on the basis of ranking individual criteria in order of importance. A procedure is proposed in order to assess the change of optimal solutions in an elementary change of expert judgments. Constructed a numerical example.
Keywords:
linear convolution, ranking, weights, a small parameter.
Citation:
M. G. Dmitriev, V. A. Lomazov, “Assess the sensitivity of a linear convolution of partial criteria under expert determined weight”, Artificial Intelligence and Decision Making, 2014, no. 1, 52–56; Scientific and Technical Information Processing, 41:6 (2014), 400–403
\Bibitem{DmiLom14}
\by M.~G.~Dmitriev, V.~A.~Lomazov
\paper Assess the sensitivity of a linear convolution of partial criteria under expert determined weight
\jour Artificial Intelligence and Decision Making
\yr 2014
\issue 1
\pages 52--56
\mathnet{http://mi.mathnet.ru/iipr357}
\elib{https://elibrary.ru/item.asp?id=21244845}
\transl
\jour Scientific and Technical Information Processing
\yr 2014
\vol 41
\issue 6
\pages 400--403
\crossref{https://doi.org/10.3103/S0147688214060033}
Linking options:
https://www.mathnet.ru/eng/iipr357
https://www.mathnet.ru/eng/iipr/y2014/i1/p52
This publication is cited in the following 3 articles: