查询词典 antisymmetric relation

In chapter 3, the paper proposed a new kind of preference relation, i.e. distance preference relation; followed this, a scale was introduced for constructing antisymmetric matrix, and consistency of the matrix was defined, three methods for computing priority vector were studied; At the end, two examples were used to demonstrate the application of the new method,and they showed that the introduction of antisymmetric matrix to AHP is effective and valuable.

本文首先对Saaty AHP的几种常见标度进行了比较分析，然后对正互反判断矩阵及模糊互补判断矩阵的权重计算方法进行了归纳和总结；最后，本文提出了一种新的偏好关系，即基于"差"的偏好关系，从而将反对称矩阵引入层次分析法，接着对新型偏好关系下判断矩阵的构造、一致性的定义与性质以及权重的计算方法做了初步的研究，最后用算例说明了新方法的应用，并做了相应的比较分析，结果表明采用基于"差"的偏好关系构造反对称矩阵拓展了AHP的应用范围，有一定的理论和应用价值。

In this paper, we deal with the complete extension of a fuzzy relation and obtain the following main conclusion. Every reflexive,*-antisymmetric and *-transitive fuzzy relation can be extended to a complete reflexive,*-antisymmetric and *-transitive fuzzy relation, namely, every partial order can be extended to a linear order.

文章研究了一个模糊关系的完全扩张问题，主要结果为：一个自反的、*-反对称的*、-传递的模糊关系可以扩张成为一个完全的、自反的、*-反对称的、*-传递的模糊关系，即任何一个偏序都可以扩张成一个线性序。

Based on English definition of the six properties which a relation R defined on a set A and utilizing the logical characteristic of implications, two aspects of ordered-pair and the matrix MR are considered, and the properties of the R is analyzed one by one. A few useful conclusions are summarized as determining the properey of the R. The following collections are also analyzed between reflexive and irreflexive, symmetric and antisymmetric, symmetric and asymmetric and among irreflexive, antisymmetric and asymmetric.

根据定义在一个集合A上的关系R的六个性质的英文定义，利用蕴含式的逻辑特点，从有序对和关系R的矩阵M两个角度对每个性质逐一进行分析，得出在判定关系R的性质时可用的结论，并且分析了自反性与非自反性之间、对称性与反对称性之间、对称性与非对称性之间、非自反性和反对称性以及非对称性之间的联系。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。