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(V,ρ)h,φ-Ⅰ 型多目标规划的最优性充分条件(英文)
引用本文:张庆祥,姜艳,康瑞瑞.(V,ρ)h,φ-Ⅰ 型多目标规划的最优性充分条件(英文)[J].数学季刊,2012(3):409-416.
作者姓名:张庆祥  姜艳  康瑞瑞
作者单位:College of Mathematics and Computer Science, Yanan University;Shenmu Seventh Middle School
基金项目:Supported by the NSF of Shaanxi Provincial Educational Department(06JK152)
摘    要:New classes of functions namely (V, ρ)h,φ-type I, quasi (V, ρ)h,φ-type I and pseudo (V, ρ)h,φ-type I functions are defined for multiobjective programming problem by using BenTal’s generalized algebraic operation. The examples of (V, ρ)h,φ-type I functions are given. The sufficient optimality conditions are obtained for multi-objective programming problem involving above new generalized convexity.

关 键 词:multiobjective  programming  (V    ρ)h  φ-type  I  functions  Pareto  efficient  solution  sufficient  optimality  conditions
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