Characterizations of Multiobjective Robustness via Oriented Distance Function and Image Space Analysis

Qamrul Hasan Ansari*, Elisabeth Köbis, Pradeep Kumar Sharma

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

43 Scopus citations

Abstract

In this paper, we characterize different kinds of multiobjective robustness concepts via the well-known oriented distance function. By using characterizations of several set relations via the oriented distance function, together with the help of image space analysis, we construct some suitable subsets of the scalarization image space to obtain equivalent characterizations for various robust solutions for uncertain multiobjective optimization problems based on a set approach.

Original languageEnglish
Pages (from-to)817-839
Number of pages23
JournalJournal of Optimization Theory and Applications
Volume181
Issue number3
DOIs
StatePublished - 1 Jun 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

  • Image space analysis
  • Oriented distance function
  • Robustness
  • Set relations
  • Uncertain multiobjective optimization

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics

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