1) ε-proper efficient solution
ε-真有效解
1.
We introduce a new kind of ε-efficient solution in (VMP), namely, the ε-proper efficient solution.
同时引进了ε-真有效解的概念，在锥-次类凸的假设条件下，建立了这种解的一个标量化定理。
2) ε-efficient set
ε-真有效解集
1.
In this paper, we study the topological properties of ε-efficient set in vector optimization of set-valued maps.
该文研究集值向量优化问题ε-真有效解集的拓扑性质 ,证明了ε-真有效解集的闭性、紧性和连通性。
3) ε-efficient solution
ε-有效解
1.
In this paper,we provide a necessary condition for ε-efficient solutions of Multiobjective Programming(MOP),we mainly study six well-know scalarization methods for the MOP and establish the corresponding relationships between ε-efficient solutions and ε-optimal solutions when solving(MOP) and scalarized problem(SOP
考虑多目标优化问题中ε-有效解存在的必要条件。
4) ε-proper efficiency
ε-真有效性
5) ε-super efficient solution
ε-超有效解
1.
In locally convex linear topological spaces,the ε-super efficient solution for vector optimization with set-valued maps was introduced.
通过在局部凸拓扑线性空间中引进集值映射向量优化问题的ε-超有效解,在集值映射为内部锥类凸的假设下,利用凸集分离定理建立了关于ε-超有效解的标量化定理,并利用择一定理得到ε-Lagrange乘子定理。
2.
In this paper,we study the connectedness of ε-super efficient solution set of vector optimization set-value mapping in normed linear spaces.
研究了赋范线性空间中集值向量优化问题ε-超有效解集的连通性,并证明了目标映射为锥拟凸的向量优化问题的ε-超有效解集是连通的。
3.
This paper establishes and proves the saddle points and duality theorems for ε-super efficient solution of vector optimization with set-valued maps, under the assumption that the set-valued maps is nearly generalized cone-subconvexlike, by utilizing the scalarization and Lagrange multiplier theorem for ε-super efficient solution.
在集值映射是近似广义锥次似凸的假设下,利用ε-超有效解的标量化和Lagrange乘子定理,建立和证明了关于ε-超有效解的鞍点和对偶定理。
6) ε-strict efficient solutions
ε严有效解
1.
In locally-convex topological vector spaces, ε-strict efficient points and ε-strict efficient solutions are introduced.
在局部凸拓扑向量空间中引入了ε严有效点、ε严有效解的概念。
补充资料：真因
【真因】
（术语）真实之正因也。教行信证三本曰：“证大涅槃之真因。”
（术语）真实之正因也。教行信证三本曰：“证大涅槃之真因。”
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