Journal
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
Volume -, Issue -, Pages -Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/jimo.2021199
Keywords
Robust optimality condition; robust multiobjective optimization; im-age space analysis; separation functions; maximal elements
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Funding
- Natural Science Foundation of China [12071379, 12126412]
- Fundamental Research Funds for the Central Universities [XDJK2020B048]
- Natural Science Foundation of Chongqing [cstc2021jcyj-msxmX0925]
- Basic Research Grant of KFUPM, Dhahran, Saudi Arabia [SB191054]
- Chongqing Humanities and Social Science Project [21SKGH298]
- Youth Top Talent Program of Chongqing Talents
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The study introduces the establishment of C-robust efficient solutions and optimistic C-robust efficient solutions for uncertain multiobjective optimization problems, using image space analysis and uncertainty factors to apply robust optimality conditions and saddle point sufficient optimality conditions to problem solving.
We introduce the C-robust efficient solution and optimistic C-robust efficient solution of uncertain multiobjective optimization problems (UMOP). By using image space analysis, robust optimality conditions as well as saddle point sufficient optimality conditions for uncertain multiobjective optimization problems are established based on real-valued linear (regular) weak separation function and real-valued (vector-valued) nonlinear (regular) weak separation functions. We also introduce two inclusion problems by using the image sets of robust counterpart of (UMOP) and establish the relations between the solu-tion of the inclusion problems and the C-robust efficient solution (respectively, optimistic C-robust efficient solution) of (UMOP).
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