1) properly efficient solution
真有效解
1.
Then, sufficient condition and necessary condition for a properly efficient solution in the sense of Geoffrion are proved.
然后,证明了该多目标分式规划问题在Geoffrion意义下的真有效解的充分条件和必要条件。
2.
Considering the Wolfe type and Mond Weir type duals for a class of multiobjective variational problems discussed in paper 1 ,a general dual of such a multiobjective variational problem was proposed,and the corresponding weak and strong duality theorems with respect to properly efficient solutions were proved.
考虑文章〔１〕讨论的一类多目标变分问题的Ｗｏｌｆｅ型和Ｍｏｎｄ－Ｗｅｉｒ型对偶，对这样一类多目标变分问题提出一种一般对偶，鉴于在建立对偶问题时，如果把Ｇｅｏｆｒｉｏｎ参数作为变量，讨论关于真有效解的对偶性定理存在许多问题，对于预定的Ｇｅｏｆｒｉｏｎ参数，证明了关于真有效解的相应弱对偶定理和强对偶定
2) properly efficient solutions
真有效解
1.
It is showed that several types of properly efficient solutionsare equivalent under an assumption of the cone-subconvexlikeness.
首先在锥—次类凸性假设下证明几种真有效解的概念彼此等价,然后建立多目标规划真有效解的标量化定理、Lagrange乘子定理、鞍点定理、Lagrange对偶定理和广义Kuhn-Tucker定理等。
2.
On the other hand,based on the X-contingent epiderivative it gives the necessary and sufficient conditions for local weakly efficient solution and corresponding local properly efficient solutions.
同时,利用X-切上导数的概念,给出了局部弱有效解及相应局部真有效解的充分必要条件。
3) proper efficient solutions
真有效解
1.
In this paper, we introduce concepts of SP-contingent derivative of graph of set-valued map and obtain the optimatity conditions of two kinds of proper efficient solutions for the set-valued vector optimization problems by using the new concept of contingent derivative of set -valued map.
本文提出了集值映射图的SP-相依导数的概念,利用这个概念,给出了集值 向量优化问题两种真有效解的最优性条件。
4) proper efficient solution
真有效解
1.
By using these concepts of contingent derivation and semidiffertiable of set-valued map,we give the optimality conditions of local proper efficient solution and local strong efficient solution with unconstrained and constrained set-valued vector optimization problem.
利用集值映射切导数与半可微概念,给出了无约束与具约束的集值向量优化问题局部真有效解与局部强有效解的最优性条件。
5) true effective solution
真有效解
1.
Generalized true effective solutions of problem of non-smooth vector extreme value;
非光滑向量极值问题的广义真有效解
6) Benson proper efficient solution
Benson真有效解
1.
Benson proper efficient solution for vector extremum problems is the most important aspect of optimization problems,and it has drawn lots of attention.
向量极值问题的Benson真有效解,是优化问题的一个最重要的方面,吸引了许多关注的目光。
2.
Using vector closure,Benson proper efficient solution of set-valued optimization is introduced.
利用向量闭包,引进了集值优化的Benson真有效解。
补充资料：解佩令 茶肆茶无绝品至真
【诗文】：
茶无绝品，至真为上。相邀命、贵宾来往。盏热瓶煎，水沸时、云翻雪浪。轻轻吸、气清神爽。卢仝七碗，吃来豁畅。知滋味、赵州和尚。解佩新词，王害风、新成同唱。月明中、四人分朗。
【注释】：
【出处】：
茶无绝品，至真为上。相邀命、贵宾来往。盏热瓶煎，水沸时、云翻雪浪。轻轻吸、气清神爽。卢仝七碗，吃来豁畅。知滋味、赵州和尚。解佩新词，王害风、新成同唱。月明中、四人分朗。
【注释】：
【出处】：
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条