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Stability achievement scalarization function for multiobjective nonlinear programming problems
- Source :
-
Applied Mathematical Modelling . Jun2008, Vol. 32 Issue 6, p1044-1055. 12p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we present a method to determine the stability of nondominated criterion vectors using a modified weighted achievement scalarization metric. This method is based on the application of a particular objective function which scalarizes and parameterizes the original multiobjective nonlinear programming problem. Also, we show that this modified weighted achievement metric coincides with the metric introduced by Choo and Atkins [E.-U. Choo, D.R. Atkins, Proper efficiency in nonconvex multicriteria programming, Math. Oper. Res. 8 (1983) 467–470] and Kaliszewski [I. Kaliszewski, A modified weighted Tchebycheff metric for multiple objective programming, Comput. Oper. Res. 14 (1987) 315–323] in cases when sets of all criterion vectors are finite or polyhedral. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0307904X
- Volume :
- 32
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Applied Mathematical Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 30020323
- Full Text :
- https://doi.org/10.1016/j.apm.2007.02.028