1) upper level set/ monotonicity
单调函数/上水平集
2) monotone set function
单调集函数
1.
Some properties of monotone set functions defined by Choquet integral;
Choquet积分定义的单调集函数的几个遗传性质(英文)
2.
Continuity of Monotone Set Function and Convergences of Measurable Function Sequence;
单调集函数的连续性与可测函数序列的收敛
3.
And the sufficient and necessary conditions of the monotone set function which is continuous of the empty set and the full set are given.
本文利用单调集函数的4种连续性的定义和可测函数序列的4种收敛性之间的关系,提出了4种类型的Lebesgue定理,并给出了单调集函数在空集连续,全集连续的充要条件。
3) level set function
水平集函数
1.
Structural topology optimization is formulated in terms of the nodal variables on the level set function, which is converted to 0-1 variables by Heaviside function regularized by the sigmoid function.
利用有限元离散后的水平集函数的节点值作为拓扑设计变量来求解连续体拓扑优化问题。
2.
In this paper,we based on the advantage and disadvantage aspects of the traditional level set function and the distance preserving level set function,imported a image parameter function v(I) instead of a constant parmeter,and offered a new funtion that is an adaptive distancepreserving level set function.
水平集函数是在研究几何活动轮廓模型时将界面或者演化曲线看成高一维空间中某一函数ψ原型。
4) monotone function
单调函数
1.
The Construction of Practical Strengthening Buffer Operator Based on the Monotone Function
基于单调函数的若干实用强化缓冲算子的构造
2.
The method can not only rank fuzzy numbers with the membership functions taking some special forms,such as triangular,trapezoidal,etc,but also can compare those fuzzy numbers whose membership functions are subsection-monotone functions.
该方法不仅可以对隶属函数为三角形、梯形等较特殊形式的模糊数进行排序,而且还可以比较隶属函数为多个分段单调函数的模糊数,同时它也考虑了决策者的风险态度。
3.
This paper studies VIP( X,F) ,where F is a monotone function and constraint set X has the form of box constraint.
讨论变分不等式问题 VIP( X,F) ,其中 F是单调函数 ,约束集 X为有界区域 。
6) Monotone functions
单调函数
1.
This paper constructs some monotone functions by means of inequalities of geomtric convex functions in References~([1]), then it shows properties of geometric convex functions more clearly.
本文利用文献[1]中的有关几何凸函数的不等式,来完成一些单调函数的构造,从而更好地说明几何凸函数的内在性质和特点。
补充资料：水平集
水平集
level set
水平集【l巴目就;冲咖二M肋撰c二l，函数f的 在R”中使f=常数的点集.若函数f为定义于平面R’中正方形Q上并有满足U声由七条件(LipschitZ condition)的偏导数，则对区间~f
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