1) function general convexity
广义凸n集函数
2) generalized convex set functions
广义凸集函数
1.
The paper presents necessary and sufficient conditions for solutions to multiobjectivematheamatical programming with generalized convex set functions which popularized the documents ″Suffi-cient and necessary conditions for solutions to multiobjective mathematical programming with generalized con-vex set functions″and etc.
给出了广义凸集函数多目标数学规划解的充分必要条件，它是对多目标广义凸规划解的充分必要条件等文献的推
3) generalized convex functions
广义凸函数
1.
In this paper,a new kind of generalized convex functions is introduced,and the relationship between their local minimas and global minimas is discussed.
引进了一种新的广义凸函数,称为弧式严格局部拟凸函数,并对其局部极小与整体极小之间的关系进行了讨论。
2.
These results are based on the properties of sublinear functions and generalized convex functions.
给出了一类非线性分式规划问题的参数形式和非参数形式的最优性条件,在此基础上,构造出了一个参数对偶模型和一个非参数对偶模型,并分别证明了其相应的对偶定理,这些结果是建立在次线性函数和广义凸函数的基础上的。
3.
And then this generalized Mond Weir duality is duscussed under four conditions generalized convex functions of generalized η strict pseudoconvexity function?generalized η pseudoconvexity function?generalized η quasiconvexity function and generalized η weak quasiconvexity function,some duality theorems are obtained,which include the weak duality theorem?the direct du.
把可微规划的Mond Weir对偶推广到非光滑规划的广义Mond Weir对偶 ,然后在广义 η 严格伪凸函数 ,广义 η 伪凸函数、广义 η 拟凸函数和广义 η 弱拟凸函数四类广义凸函数条件下 ,讨论了该非光滑规划的广义Mond Weir对偶 ,得到了相应的弱对偶定理、直接对偶定理和严格逆对偶定
4) generalized convex function
广义凸函数
1.
Several concepts of the generalized convex set are used to unify and generalize the concepts of generalized convex function.
引入几种广义凸集概念，利用这些概念统一并推广了广义凸函数概念，指明了各种广义凸性之间的相互关系，给出了所得结果对于一定不等式系统的应用。
2.
Under the differ- ential condition, the definition of (F,ρ), invariant convex function, is the widest among the definitions of generalized convex functions at present.
在可微的条件下,(F,ρ)——不变凸函数是目前广义凸函数定义中最广的一种,文献[1～3]中所定义的广义凸函数都是本文所定义的(F,ρ)-不变凸函数的特例,且本文中的主要结论也可看做是对文献[1～3]中部分结论的推广和改进。
3.
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系,并给出它们之间的一些等价条件。
5) convex n-set function
凸n-集函数
1.
In this paper, we consider the continuity of n-set function, discuss the relation of convex n-set function and its epigraph.
该文考虑了n-集函数的连续性,讨论了凸n-集函数与其上方图的关
6) Generalized F-convex function
广义F-凸函数
补充资料：集函数
集函数
countably - additive set function
集函数l①untably一additive set function」.【补注】设E为集合X生_的J代数，则在E上的}可能取值+叨的)非负函数拜是一个加性(additive)(_有限加性(f饭nitely一add;tive)，可数加性(countably一ad-ditive))测度(measure)，是指对于E的任意(有限，可数)个互不相交的集合E，条件(*)成立. 通常所说的测度(meas盯e)都是指可数加性测度.
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