A laminarity property of the polyhedron described by a weakly posi-modular set function

Fujishige S.

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A laminarity property of the polyhedron described by a weakly posi-modular set function

机译：用弱正模集函数描述的多面体的层流特性

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摘要

Recently, Nagamochi and Ibaraki have introduced a concept of posi-modular set function and considered the structure of the polyhedron described by an intersecting submodular and posi-modular function. They showed that the facets of the polyhedron form a laminar family. We show that such a laminarity property also holds for a much more general class of set functions, called weakly posi-modular set functions, without submodularity. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 3]

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《Discrete Applied Mathematics》 |2000年第2期|共4页
作者
Fujishige S.;
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正文语种 eng
中图分类离散数学;
关键词
Posi-modular set function; Laminar family; Facet; Polyhedron;

机译：拟模集函数;层流族;Facet;多面体;

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专利

1. A laminarity property of the polyhedron described by a weakly posi-modular set function [J] . Fujishige S. Discrete Applied Mathematics . 2000,第1a2期

机译：用弱正模集函数描述的多面体的层流特性
2. Augmenting a Submodular and Posi-modular Set Function by a Multigraph [J] . Hiroshi Nagamochi, Takashi Shiraki, Toshihide Ibaraki Journal of combinatorial optimization . 2001,第2期

机译：通过多叠片增强子模块和POSI模块化集功能
3. SECOND-ORDER OPTIMALITY CONDITIONS IN SETS OF L(INFINITY) FUNCTIONS WITH RANGE IN A POLYHEDRON [J] . Dunn JC. SIAM Journal on Control and Optimization . 1995,第5期

机译：多面体中具有范围的L（无穷）函数集的二阶最优条件
4. Tuning of Membership Functions in a Fuzzy Rule Set for Controlling Convergence of Laminar CFD Solutions [C] . Zoran Dragojlovic, Deborah A. Kaminski, Juntaek Ryoo The 2001 ASME International Mechanical Engineering Congress and Exposition, 2001, Nov 11-16, 2001, New York, New York . 2001

机译：用于控制层流CFD解决方案收敛的模糊规则集中的隶属函数调整
5. Choquet weak convergence of capacity functionals and statistical inference with random sets [D] . Feng, Ding 2004

机译：Choquet函数功能的弱收敛和随机集的统计推断
6. Relationship of membrane properties spike burst responses laminar location and functional class of dorsal horn neurons recorded in vitro [O] . Patrick M. Dougherty, Jinghong Chen -1

机译：体外记录的膜特性突波爆发响应层流位置和背角神经元功能类别的关系
7. A laminarity property of the polyhedron described by a weakly posi-modular set function [O] . Fujishige Satoru 2000

机译：用弱正模集函数描述的多面体的层流特性
8. Weak Convergence of Set-Valued Functions and Control, [R] . artstein, zvi 1974

机译：集值函数和控制的弱收敛，

A laminarity property of the polyhedron described by a weakly posi-modular set function

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