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proper efficiency
相关语句
  真有效性
     Alternative theorem and benson proper efficiency for vector optimization problems
     择一定理及向量优化问题的Benson真有效性
短句来源
     Proper Efficiency Conditions for a Class of Multiobjective Fractional Optimal Control Problems
     一类多目标分式最优控制问题的真有效性条件(英文)
短句来源
     A dual characterization for Benson proper efficiency
     Benson真有效性的对偶特征
短句来源
     BENSON PROPER EFFICIENCY IN VECTOR OPTIMIZATION WITH SET-VALUED MAPS
     集值映射向量优化的Benson真有效性
短句来源
     The aim of this paper is to consider duality for multiobjective variational problem involving pseudo-invexity function. Weak,strong and converse duality theorems for Wolfe-type dual problem under the condition of pseudo-(invexity) are proved by using the concept of efficiency and proper efficiency,respectively.
     利用有效性和真有效性概念,证明了在pseudo-invexity条件下与Wolfe-型对偶问题相关的弱对偶定理、强对偶定理及逆对偶定理.
短句来源
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  真有效
     The Generalized Optimality Conditions of Set-Valued Optimization Problems with Benson Proper Efficiency
     Benson真有效解意义下集值优化问题的最优性条件
短句来源
     In chapter 3, generalized Kuhn-Tucker type optimality conditions are given for weak efficiency, efficiency and proper efficiency of problem (VP) under the conditions of a generalized Kuhn-Tucker constraint qualification and a generalized Arrow-Hurwicz-Uzawa constraint qualification.
     第三章,笔者在广义Kuhn-Tucker约束品性和广义Arrow-Hurwicz-Uzawa约束品性下建立了(VP)关于弱有效解,有效解,真有效解的Kuhn-Tucker型最优性条件,而且借助非光滑择一性定理,笔者还建立了(VP)关于弱有效解,有效解,真有效解的鞍点型最优性条件。
短句来源
     On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency
     Benson真有效意义下向量集值优化的广义Fritz John条件
短句来源
     The concepts of Clarke tangent derivative,Adjacent tangent derivative and Contingent tangent derivative for a vector valued map are developed,their properties are discussed,with which the optimality Fritz John conditions of vector valued optimization with the Benson proper efficiency are established.
     对向量值映射引入了 Clarke切导数、Adjacent切导数及 Contingent导数的概念 ,讨论了它们的性质 ,并用其建立了约束向量优化有效解在 Benson真有效意义下的 Fritz John及Kuhn- Tucker条件 .
短句来源
     THE GENERALIZED OPTIMALITY FRITZ-JOHN CONDITIONS OF VECTOR OPTIMIZATION OF SET-VALUED MAPS WITH WEAK BENSON PROPER EFFICIENCY
     Benson真有效意义下向量集值优化的广义Fritz-John条件
短句来源
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  “proper efficiency”译为未确定词的双语例句
     Proper Saddle Points and Proper Efficiency in Constrained Vector Optimization
     真鞍点与约束向量优化问题的真有效解
短句来源
     A Scalarization Theorem for Geoffrion’s Proper Efficiency in Multiobjective Optimization
     多目标优化中Geoffrion真有效解的一个标量化定理
短句来源
     Generalized Convexity and Proper Efficiency
     广义凸函数与真有效解
短句来源
     At last, we discuss the relationships between ε- strong efficiency, ε- proper strict efficiency, ε- strict efficiency, ε- super efficiency and ε - Benson proper efficiency.
     最后我们讨论了各种ε-有效点之间的关系。
短句来源
     Based on the nonsmooth alternative theorems, generalized saddle-point type optimality conditions are proposed for weak efficiency, efficiency and proper efficiency of problem (VP).
     第四章笔者在广义(F,ρ,θ)—d一致不变凸,广义(F,ρ,θ)—d拟一致不变凸及广义(F,ρ,θ)—d伪一致不变凸的条件下讨论了(VP)关于弱有效解的广义Lagrange对偶型理论及广义Mond-Weir型对偶理论。
短句来源
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  proper efficiency
The notion of solutions in each of these problems is introduced via the concepts of efficiency, weak efficiency or Benson proper efficiency in vector optimization.
      
Strong Duality for Proper Efficiency in Vector Optimization
      
Proper Efficiency in Vector Optimization on Real Linear Spaces
      
Scalarization, multiplier rules, and saddle-point theorems are obtained in order to characterize the proper efficiency in vector optimization with and without constraints.
      
Proper Efficiency in Vector Optimization on Real Linear Spaces
      
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In this paper,the proper efficiency in multiple criteria decision problems with fuzzydomination cones is discussed.First,we indroduced the conceptes on the fuzzy set of properlyefficient points and the fuzzy set of properly efficient solutions.Then,we discussed the relationbetween the fuzzy set of properly efficient points and the fuzzy set of efficient points, derivednecessary conditions and suffcient conditions for α fuzzy ptoperly efficient points.

本文讨论具有Fuzzy控制锥的多准则决策中的真有效性。引进了Fuzzy真有效点(解)集的概念,讨论了Fuzzy真有效点集与Fuzzy有效点集的关系,得到了α-Fuzzy真有效点的必要、充分条件。

ntroduce the concept of scalarizable efficientcy(S-efficiency)and study in detail the La-grangian multipliers,saddle points and Lagrangian duality for nonconvex and nonsmooth vectoroptimization problems in local convex Hausdorff linear topological spaces.We also prove thatsome proper efficiency and S-efficiency are equivalent under a quite general condition.

引进了可标量化有效性(s-有效性)的概念,在局部凸的Hausdorff线性拓扑空间中讨论了非凸非光滑向量优化问题的Lagrange乘子、鞍点和Lagrange型对偶,证明了几种真有效性与s-有效性在相当一般的条件下是等价的.

A scalarization theorem for Geoffrion’s proper efficiency in multiob-jective optimization is derived under the assumption of generalized R-subconvex-likeness. This result extends and improves the corresponding results in Refs.1 and 2.

本文在广义R-次类凸的假设下,导出了多目标优化中Geoffrion真有效解的一个标量化定理.这一结果推广和改进了引文[1,2]中的相应结果.

 
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