Abstract:
The paper deals with multicriteria choice model, which includes a set of variants, a numerical vector-valued criteria, and an asymmetric DM’s preference relation. Set of selected variants is considered as a solution of the multicriteria choice problem. We assume that some reasonable axioms have been accepted. When the preference relation is known only partially, we cannot construct the set of selected variants but are able to get some upper estimate for this set based on information about the DM’s preference relation. Suppose that information on the preference relation has a point-set type. This means that the DM are ready to lose in several groups of criteria in order to obtain a gain in other group of criteria. By using this information we should form new vector criterion and build new reduced Pareto set that represents a more precise upper estimate for unknown set of selected variants than the initial Pareto set.
Citation:
V. D. Nogin, “Pareto set reducing based on information about the DM’ preference relation of point-set type”, Artificial Intelligence and Decision Making, 2009, no. 1, 5–16; Scientific and Technical Information Processing, 37:5 (2011), 292–300
\Bibitem{Nog09}
\by V.~D.~Nogin
\paper Pareto set reducing based on information about the DM’ preference relation of point-set type
\jour Artificial Intelligence and Decision Making
\yr 2009
\issue 1
\pages 5--16
\mathnet{http://mi.mathnet.ru/iipr524}
\elib{https://elibrary.ru/item.asp?id=12111261}
\transl
\jour Scientific and Technical Information Processing
\yr 2011
\vol 37
\issue 5
\pages 292--300
\crossref{https://doi.org/10.3103/S0147688210050059}
Linking options:
https://www.mathnet.ru/eng/iipr524
https://www.mathnet.ru/eng/iipr/y2009/i1/p5
This publication is cited in the following 1 articles:
V. D. Nogin, “Reducing the Pareto set based on information about the DM’s set-point type preference relation”, 38, no. 6, 2011, 435–439
Citation in format AMSBIB
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