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A General Class of Convexification Transformation for the Noninferior Frontier of a Multiobjective Program

A General Class of Convexification Transformation for the Noninferior Frontier of a Multiobjective Program
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摘要 A general class of convexification transformations is proposed to convexify the noninferior frontier of a multiobjective program. We prove that under certain assumptions the noninferior frontier could be convexified completely or partly after transformation and then weighting method can be applied to identify the noninferior solutions. Numerical experiments are given to vindicate our results. A general class of convexification transformations is proposed to convexify the noninferior frontier of a multiobjective program. We prove that under certain assumptions the noninferior frontier could be convexified completely or partly after transformation and then weighting method can be applied to identify the noninferior solutions. Numerical experiments are given to vindicate our results.
出处 《American Journal of Operations Research》 2013年第3期387-392,共6页 美国运筹学期刊(英文)
关键词 Noninferior FRONTIER CONVEXIFICATION Weighting Method MULTIOBJECTIVE Optimization Noninferior Frontier Convexification Weighting Method Multiobjective Optimization
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