EconPapers    
Economics at your fingertips  
 

Optimality Conditions in Uncertain Multi-Objective Optimization Problems with a Variable Domination Structure

Cong Fan () and Qilin Wang
Additional contact information
Cong Fan: College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, P. R. China
Qilin Wang: College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2024, vol. 41, issue 05, 1-27

Abstract: In this paper, we first establish some new properties of a kind of nonlinear scalarization function. Second, based on set approaches, we introduce a class of new definitions of robustness for an uncertain multi-objective optimization problem with a variable domination structure. Finally, by applying the scalarization method, we obtain the necessary and sufficient optimality conditions of the robustness for the uncertain multi-objective optimization problem with a variable domination structure in a more general setting. Some of the obtained results extend and imply the corresponding ones in recent literature.

Keywords: Uncertain multi-objective optimization problems; nonlinear scalarization functions; variable domination structures; variable set orders (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595923500318
Access to full text is restricted to subscribers

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:wsi:apjorx:v:41:y:2024:i:05:n:s0217595923500318

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0217595923500318

Access Statistics for this article

Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao

More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().

 
Page updated 2025-03-20
Handle: RePEc:wsi:apjorx:v:41:y:2024:i:05:n:s0217595923500318