Pareto set reduction based on an axiomatic approach with application of some metrics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 4, pp. 645-653
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A multicriteria choice problem involving a decision-maker’s binary preference relation is considered. Several two-stage methods are proposed for its solution. First, the Pareto set is reduced by applying an axiomatic approach. Then the problem is scalarized on the resulting set by using the Chebyshev or Euclidean metric. The methods proposed are substantiated with the help of well-known and new techniques for characterizing weakly efficient and proper efficient points. Illustrative examples are given.
@article{ZVMMF_2017_57_4_a5,
author = {V. D. Nogin},
title = {Pareto set reduction based on an axiomatic approach with application of some metrics},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {645--653},
publisher = {mathdoc},
volume = {57},
number = {4},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a5/}
}
TY - JOUR AU - V. D. Nogin TI - Pareto set reduction based on an axiomatic approach with application of some metrics JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2017 SP - 645 EP - 653 VL - 57 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a5/ LA - ru ID - ZVMMF_2017_57_4_a5 ER -
%0 Journal Article %A V. D. Nogin %T Pareto set reduction based on an axiomatic approach with application of some metrics %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2017 %P 645-653 %V 57 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a5/ %G ru %F ZVMMF_2017_57_4_a5
V. D. Nogin. Pareto set reduction based on an axiomatic approach with application of some metrics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 4, pp. 645-653. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a5/