Pareto set reduction based on an axiomatic approach with application of some metrics

Research output

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)645-652
Number of pages8
JournalComputational Mathematics and Mathematical Physics
Volume57
Issue number4
DOIs
Publication statusPublished - 1 Apr 2017

Scopus subject areas

  • Computational Mathematics

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