SCALARIZATION

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A FLEXIBLE OBJECTIVE-CONSTRAINT APPROACH AND A NEW ALGORITHM FOR CONSTRUCTING THE PARETO FRONT OF MULTIOBJECTIVE OPTIMIZATION PROBLEMS被引量：1
《Acta Mathematica Scientia》2024年第2期702-720,共19页N.HOSEINPOOR M.GHAZNAVI 
In this article, a novel scalarization technique, called the improved objective-constraint approach, is introduced to find efficient solutions of a given multiobjective programming problem. The presented scalarized pr...
关键词：multiobjective optimization Pareto front SCALARIZATION objective-constraint approach proper efficient solution 
ON APPROXIMATE EFFICIENCY FOR NONSMOOTH ROBUST VECTOR OPTIMIZATION PROBLEMS
《Acta Mathematica Scientia》2020年第3期887-902,共16页Tadeusz ANTCZAK Yogendra PANDEY Vinay SINGH Shashi Kant MISHRA 
The research of Yogendra Pandey and Vinay Singh are supported by the Science and Engineering Research Board,a statutory body of the Department of Science and Technology(DST),Government of India,through file no.PDF/2016/001113 and SCIENCE&ENGINEERING RESEARCH BOARD(SERB-DST)through project reference no.EMR/2016/002756,respectively.
In this article,we use the robust optimization approach(also called the worst-case approach)for findingε-efficient solutions of the robust multiobjective optimization problem defined as a robust(worst-case)counterpar...
关键词：Robust optimization approach robust multiobjective optimization ε-efficient solution ε-optimality conditions SCALARIZATION 
SEPARABLE CONDITIONS AND SCALARIZATION OF BENSON PROPER EFFICIENCY被引量：1
《Acta Mathematica Scientia》2010年第4期1154-1166,共13页丘京辉 郝媛 王璀 
Supported by the National Natural Science Foundation of China (10571035,10871141)
Under the assumption that the ordering cone has a nonempty interior and is separable （or the feasible set has a nonempty interior and is separable）, we give scalarization theorems on Benson proper effciency. Applyin...
关键词：Locally convex space nearly cone-subconvexlike set-valued map Benson proper effciency SCALARIZATION 
SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS被引量：14
《Acta Mathematica Scientia》2005年第1期152-160,共9页徐义红 刘三阳 
ThisresearchwassupportedbytheNationalNaturalScienceFoundationofChina(10261000)theNaturalScienceFoundationofJiangxiProvince(0412013)theBasicTheoryFoundationofNanchangUniversity
Some properties for convex cones are discussed, which are used to obtain an equivalent condition and another important property for nearly cone-subconvexlike set-valued functions. Under the nearly cone-subconvexlikene...
关键词：Nearly cone-subconvexlikeness convex cones super efficiency SCALARIZATION Lagrangian multipliers 
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