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  • 标题:Efficiency and duality in nonsmooth multiobjective fractional programming involving η-pseudolinear functions
  • 本地全文:下载
  • 作者:Mishra S.K. ; Upadhyay B.B.
  • 期刊名称:Yugoslav Journal of Operations Research
  • 印刷版ISSN:0354-0243
  • 电子版ISSN:1820-743X
  • 出版年度:2012
  • 卷号:22
  • 期号:1
  • 页码:3-18
  • DOI:10.2298/YJOR101215002M
  • 出版社:Faculty of Organizational Sciences, Belgrade, Mihajlo Pupin Institute, Belgrade, Economics Institute, Belgrade, Faculty of Transport and Traffic Engineering, Belgrade, Faculty of Mechanical Engineering, Belgrade
  • 摘要:

    In this paper, we shall establish necessary and sufficient optimality conditions for a feasible solution to be efficient for a nonsmooth multiobjective fractional programming problem involving η-pseudolinear functions. Furthermore, we shall show equivalence between efficiency and proper efficiency under certain boundedness condition. We have also obtained weak and strong duality results for corresponding Mond-Weir subgradient type dual problem. These results extend some earlier results on efficiency and duality to multiobjective fractional programming problems involving η-pseudolinear and pseudolinear functions.

  • 关键词:Multiobjective fractional programming; nonsmooth programming; pseudolinearity; η-pseudolinearity; duality
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