Scalarizations for a unified vector optimization problem based on order representing and order preserving properties
type: Item
instance of: scholarly article
title: Scalarizations for a unified vector optimization problem based on order representing and order preserving properties
zbMATH Open document ID: 1421.90163
author: Khushboo
author: C. S. Lalitha
published in: Journal of Global Optimization
publication date: 2018-05-25T00:00:00Z
review text: The author considers two classes of scalarizing functions in vector (or multiobjective) optimization in Hausdorff real topological vector spaces. The functions are assumed to be order representing and order preserving and minimal solutions and approximate minimal solutions are characterized and obtained with them. The author also shows that some existing scalarizing functions belong to the classes.
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 6873203
zbMATH Keywords: vector optimization
zbMATH Keywords: nonlinear scalarization
zbMATH Keywords: order representing property
zbMATH Keywords: order preserving property
zbMATH Keywords: Gerstewitz function
zbMATH Keywords: oriented distance function
reviewed by: Kaisa Miettinen
MaRDI profile type: Publication
full work available at URL: s10898-017-0582-1
OpenAlex ID: W2767469307
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DOI: 10.1007/S10898-017-0582-1
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description: scientific article; zbMATH DE number 6873203