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[期刊论文]

Multiobjective programming under a class of generalized univexity

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Author:

Cheng, Cao-Zong (Cheng, Cao-Zong.) | Zhang, Rui-Fang (Zhang, Rui-Fang.)

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Abstract:

This paper introduces a new class of generalized invex function called d-ρηθ-univex function, and discusses the relationship among d-invex, d-univex, d-ρηθ-invex, and d-ρηθ-univex functions. Under d-ρηθ-univexity assumption, one type of multiobjective programming problem (P) is considered. The sufficient optimality conditions for the existence of the weak Pareto efficient solution of the problem (P) are first established. The results on the weak, strong and converse duality of Mond-Weir type duality, and the weak and strong duality assertions of the generalized Mond-Weir type duality of the problem (P) are then obtained.

Keyword:

Weirs Multiobjective optimization Computer programming Pareto principle

Author Community:

  • [ 1 ] [Cheng, Cao-Zong]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Zhang, Rui-Fang]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Source :

Journal of Beijing University of Technology

ISSN: 0254-0037

Year: 2012

Issue: 3

Volume: 38

Page: 467-472

Cited Count:

WoS CC Cited Count:

30 Days PV: 5

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