(V,ρ)h,φ-Ⅰ 型多目标规划的最优性充分条件(英文) |
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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. |
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作者姓名: | 张庆祥 姜艳 康瑞瑞 |
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作者单位: | College of Mathematics and Computer Science, Yanan University;Shenmu Seventh Middle School |
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基金项目: | Supported by the NSF of Shaanxi Provincial Educational Department(06JK152) |
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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.
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关 键 词: | multiobjective programming (V ρ)h φ-type I functions Pareto efficient solution sufficient optimality conditions |
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