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1)  order consistent relations
偏序相容关系
2)  partial ordering relation
偏序关系
1.
In terms of the concept of ordering relations of interval numbers based on probability,as well as the practical sense of vote models of Vague sets,the definition of a partial ordering relation of Vague values in the closed subinterval set is given,with which we provide the necessary proofs of some primary properties of Vague relations.
从基于可能度的区间数序关系的概念以及Vague集投票模型的实际意义两个方面,引入闭子区间集中Vague值的偏序关系的定义,并利用偏序关系证明了Vague关系的一些主要性质。
2.
A partial ordering relation is presented in the incomplete interval-valued information system(IIIS) with the purpose of classification,and practical approaches are given to reduce the partial ordering relation.
针对不完备区间值信息系统,提出了一种用于分类的偏序关系,并给出了计算这种偏序关系约简的实际操作方法。
3.
This paper builds modified object lattice by introducing two partial ordering relations ≤\' and ■\' and a new inter-section ∩\',followed by generating a concept lattice with the modified object lattice.
通过在对象集内引入两个偏序关系≤′和■′及一种新的交运算∩′来建立改进的对象格,然后通过此对象格产生概念格。
3)  Partial Order
偏序关系
1.
This article provides an analytic methord of make Hasse Chart from Partial Order -- 揌asse Matrix? By using Hasse Matrix, Hasse Chart of Partial Order will be drawn conveniently, so that, it provides a theoretic basis and method for computer in solving such issues.
本文提出一个由偏序关系作哈斯图的解析方法——哈斯矩阵。
2.
This paper is devoted to application of evolutionary technique based on partial order to conceptual design.
本文论述了基于偏序关系的进化技术在计算机辅助概念设计中的应用,为了说明基于偏序关系的进化技术在开发面向用户的进化系统中的有效性,我们给出了一个计算机辅助概念设计系统,它可以辅助设计师更好地完成概念创新设计。
4)  partial order relation
偏序关系
1.
A partial order decision table based on partial order relation was introduced.
介绍了基于偏序关系的偏序决策表,研究了偏序决策表各条件分类和决策分类集合之间的关系,提出了从各分类中计算偏序决策表核及属性约简方法,通过实例,验证了这些方法的有效性。
2.
In the paper,partial order relation is introduced into the incomplete formal context,three derivative formal contexts are defined in the original formal context according to the partial order set,using the derivative formal contexts depict to some basic concepts of the original formal context,this depicts are advantageous for the people to thoroughly comprehend to the formal concept analysis.
将偏序关系应用到形式概念分析中,定义了三个基于偏序集的衍生形式背景,利用衍生形式背景对原形式背景中的概念、内涵、可约对象、可约属性及蕴含规则进行了刻画,这种刻画更有利于人们对形式概念分析的深入理解。
3.
According to the standard rough set theory,different classifications are made by the properties of partial order relation,then to represent lower and upper approximation set,and make rough set model based on partial order relation.
在标准Rough集理论的指导下,利用偏序关系性质构造了不同分类,并以此为基础探讨了上、下近似集,从而构建了基于偏序关系的Rough集模型。
5)  partially ordered relation
偏序关系
1.
There is a bit difficult in judging covering assembly in partially ordered relation on a basis of its definition in discrete mathematic.
直接根据现有离散数学教材中偏序关系中“盖住”的定义,来判定偏序关系中的盖住集,有时比较困难。
2.
The main purpose of this paper is to discuss order structures of transitive,quasiordered and partially ordered relations on a set X.
该文主要讨论给定集X上的传递关系、拟序关系和偏序关系全体的序结构。
6)  partial ordering
偏序关系
1.
In this paper,from set and the basic nature of 2-tuple relation,we can prove that part-of relation and collocation relation can be expressed as the relation of partial ordering.
文中利用集合及其上二元关系的基本性质证明part-of关系和搭配关系都可以表示为偏序关系,并通过小句联结律证明搭配关系可以化归为part-of关系,从而为关系词本体建模及以此为基础的复句本体建模中搭配关系的处理提供理论基础。
补充资料:偏序

设a是一个非空集,p是a上的一个关系,若p适合下列条件:

(1)对任意的a∈a,(a,a)∈p;

(2)若(a,b)∈p且(b,a)∈p,则a=b;

(3)若(a,b)∈p,(b,a)∈p,则(a,c)∈p,则称p是a上的一个偏序关系。带偏序关系的集合a称为偏序集或半序集。

若p是a上的一个偏序关系,我们用a≤b来表示(a,b)∈p。

eg. 1、实数集上的小于等于关系是一个偏序关系。

2、设s是集合,p(s)是s的所有子集构成的集合,定义p(s)中两个元素a≤b当且仅当a是b的子集,即a包含于b,则p(s)在这个关系下成为偏序集。

3、设n是正整数集,定义m≤n当且仅当m能整除n,不难验证这是一个偏序关系。注意它不同于n上的自然序关系。

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