TY - JOUR

T1 - Pareto set reduction based on an axiomatic approach with application of some metrics

AU - Noghin, V. D.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - 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.

AB - 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.

KW - axiomatic approach

KW - Chebyshev metric

KW - Edgeworth–Pareto principle

KW - Euclidean metric

KW - multicriteria choice

KW - Pareto set reduction

KW - scalarization

UR - http://www.scopus.com/inward/record.url?scp=85019587533&partnerID=8YFLogxK

U2 - 10.1134/S096554251704008X

DO - 10.1134/S096554251704008X

M3 - Article

AN - SCOPUS:85019587533

VL - 57

SP - 645

EP - 652

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 4

ER -