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Z. Y. Wu, F. S. Bai and L. S. Zhang, “Convexification and Concavification for a General Class of Global Optimization Problems,” Journal of Global Optimization, Vol. 31, No. 1, 2005, pp. 45-60. doi:10.1007/s10898-004-0569-6

has been cited by the following article:

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

  AUTHORS: Tao Li, Yanjun Wang, Zhian Liang

  KEYWORDS: Noninferior Frontier; Convexification; Weighting Method; Multiobjective Optimization

  JOURNAL NAME: American Journal of Operations Research, Vol.3 No.3, May 23, 2013

  ABSTRACT: 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.