vector n. 1.【數(shù)學(xué)】向量,矢量,動(dòng)徑。 2.【航空】飛機(jī)航線;航向指示。 3.【天文學(xué)】幅,矢徑。 4.【生物學(xué)】帶菌者[體],傳病媒介。 vt. 【航空】(對(duì)飛行中的飛機(jī))指示航向。 vi. 【航空】電(磁)波導(dǎo)航。
The continuous stability of vector optimization problem with pertured order 錐擾動(dòng)向量?jī)?yōu)化問題的連續(xù)穩(wěn)定性
Super efficient solutions of preinvex set - valued vector optimization problems 預(yù)不變凸集值向量?jī)?yōu)化問題的超有效解
Optimality conditions of strict efficient solutions for the vector optimization problems 向量?jī)?yōu)化問題的嚴(yán)有效解的最優(yōu)性條件
The cone - subdifferential of efficient solutions set for vector optimizations problem with perturbed order 錐擾動(dòng)向量最優(yōu)化問題有效解的錐次微分
Necessary conditions of weak efficiency for a class of nondifferentiable vector optimization problems 一類不可微向量?jī)?yōu)化問題的弱有效性必要條件
To increase the intension coefficient , and speed up the significant evolutionary , the increases probability of arriving vector optimization is given 因此提出增加正負(fù)進(jìn)化對(duì)的進(jìn)化強(qiáng)度系數(shù)思想,以提高算法的運(yùn)行速度,增加向最優(yōu)點(diǎn)進(jìn)化的概率。
In this thesis , some topics in vector optimization theory with set - valued maps are discussed . the concept of generalized subconvexlike set - valued map is defined , and some important properties of the new concept are discussed in linear space . under the assuption of generalized subconvexlikeness , a gordan - farkas type alternative theorem is proved 在線性空間中定義了廣義次似凸集值映射的概念,并討論了它的一些重要性質(zhì)。在廣義次似凸性假設(shè)下,證明了gordan - farkas型的擇一性定理。
Also , we give characteriza - tions of the set of solutions for ( ivep ) in case of nonmonotonicity , weak c - pseudomonotonicity , c - pseudomonotonicity and strict c - pseudomonotonicity , respectively . under these assumptions and additional conditions , we conclude that " the sets of solutions for ( ivep ) are nonempty , closed and convex . finally , we give some applications of ( ivep ) to vector variational inequality problems and vector optimization problems 通過有力的證明和具體的例子,我們可以斷定在一定條件下隱式向量均衡問題( ivep )的解集是不空、閉和凸的;最后在第五節(jié)里,我們舉出了一些隱式向量均衡問題( ivep )應(yīng)用到向量變分不等式問題和向量?jī)?yōu)化問題的例子。
Abstract : in this paper , we consider the calmness and stability of cone - weakly efficient solution for the vector optimization problems ( vop ) of set - valued maps . we introduce the conception of calmness and stability for vop and show some results of the calmness and stability for vop 文摘:本文研究了集值映射向量?jī)?yōu)化問題的錐弱有效解的鎮(zhèn)定性和穩(wěn)定性,我們引進(jìn)了集值映射向量?jī)?yōu)化問題的鎮(zhèn)定性和穩(wěn)定性的定義,并證明了集值映射向量?jī)?yōu)化問題的鎮(zhèn)定性和穩(wěn)定性的一些主要定理
百科解釋
Vector optimization is an optimization problem of simultaneously optimizing multiple objective functions subject to constraints and a given ordering. Any multi-objective optimization problem is a vector optimization problem with the trivial ordering.