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

Qamrul Hasan Ansari (), Elisabeth Köbis () and Pradeep Kumar Sharma ()
Additional contact information
Qamrul Hasan Ansari: Aligarh Muslim University
Elisabeth Köbis: Martin-Luther-University Halle-Wittenberg
Pradeep Kumar Sharma: Aligarh Muslim University

Journal of Optimization Theory and Applications, 2019, vol. 181, issue 3, No 7, 817-839

Abstract: 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.

Keywords: Oriented distance function; Set relations; Image space analysis; Uncertain multiobjective optimization; Robustness; 49J53; 90C29; 90C30; 90C31 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-019-01505-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:181:y:2019:i:3:d:10.1007_s10957-019-01505-y

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-019-01505-y

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().