全序集

文献〔6〕在全序集上研究了群码动力系统。

The dynamics of group codes defined on totally ordered sets is generalized onto lattices .

将其建立在全序集上的概念推广到格上，研究了定义在格上群码的状态实现和格子图；

The state realization and the trellis diagram of a group code defined on lattices are studied .

然后利用半序集上全序集的一些性质，证明了混合单调集值算子的耦合不动点定理和极小极大耦合不动点定理。

And using some properties of the total-ordered subset in semiordered set , the coupled fixed points theorems and minimax coupled fixed points theorems for mixed monotone set-valued operators are proved .

多状态单调关联系统是系统可靠性理论的新发展，目前见到的研究均在元件（系统）状态集合为全序集条件下进行的。

Multistate monotone coherent systems theory is a new development of system reliability theory . Up to now , the researches are all carried out under the hypothesis that the state sets of components and systems are totally ordered .

W.C.Holland1963年证明了格序群可表示为某一全序集上的格序置换群[16]，因此格序置换群是研究格序群的重要工具之一。

C. Holland [ 1963 ] has proven that every lattice-ordered group is ( isomorphic to ) a subgroup of the lattice-ordered group of all order-preserving permutations of a chain . So lattice-ordered permutation groups are important tools for describing the structure of lattice-ordered groups .

对于这种具有全序时态类型集的时态模式，通过分析TFD集所具有的良好特性，给出了一个得到满足时态第三范式（T3NF）的无损分解的多项式时间的算法。

For the temporal schemes with a totally ordered set of temporal types , by analyzing good properties of sets of TFDs , a polynomial algorithm that may obtain lossless decompositions satisfying the temporal third form ( T3NF ) is given .

具有全序时态类型集时态函数依赖集的研究

Study on Set of Temporal Functional Dependencies with Totally Ordered Set of Temporal Types

偏序关系全序化的粗糙集方法在装备效能评估中的应用

A Totally Ordered Method of Partial Order Based on Rough Sets Applied to Evaluation of Equipment Effectiveness