Based on lattice-ordered preference structure,in this paper we show that the set of the alternatives,which are incomparable with each other under lattice order relation,is an equivalent class.
基于格序偏好结构的研究,证明了格序决策方案集中的同层不可比关系是等价关系,提出了将具有格序结构的决策方案集按层分类,该方案集在等价类间的优劣关系下构成了一个链结构,即偏好结构链化,使格序结构向全序或非对称弱序结构转化。
The algorithm is a combination of a k-shortest path algorithm and a multi-objective lattice-order decision-making method.
为获得满足决策者需要的多目标最短路径问题的有效路径,建立了多目标最短路径模型,并提出了综合k-最短路径算法和多目标格序决策方法的多项式算法。
Based on the decision-making theory and the fuzzy set theory,the concept of fuzzy multi-objective lattice-order decision-making was put forward.
基于决策理论和模糊集理论,提出了模糊多目标格序决策的概念,建立了模糊多目标格序决策模型。
A problem in the lattice order decision-making theory, i.
研究了格序决策理论中格序结构不完整的问题。
A critical connection between torsion and semi simple classes of lattice ordered groups, viz Galois connection is developed and, using it, the existence of polar torsion class is studied and one of its expressions is given as well, so that the elemental theorems of torsion class of lattice ordered groups are extended.
建立了格序群扭类与半单类之间的一种重要联系Galois联络 ,利用这种联系研究了极扭类的存在性并且给出了极扭类的一种表示 ,推广了格序群扭类的基本定理 。
This paper discusses the property of maxmal prime subgroups of a lattice ordered groups and the structure of some classes decided by the root system of prime subgroups.
研究了格序群的极大素子群的性质以及由素子群根系确定的几种格序群类的结构。
The following result has been proved in this paper The set T f of all torsion free radicals of lattice ordered groups is a ∨ infinite distributive complete lattice, the set T p of all principal torsion free radicals is an ideal of the lattice T
证明了如下结果：格序群的扭自由根式全体构成一个完备格且这个格满足并无限分配律，所有主扭自由根式构成这个格的一个理
In this paper,we discuss the relations between large l-subgroups and dense L-subgroups of a lattice ordered group.
本文讨论了格序群的大ｌ－子群与稠ｌ－子群的若干关系。
We construct ordered or quasily ordered groups, partial or quasi-partial ordered groups, and quasi-lattice ordered groups by choosing certain 2 by 2 upper triangular matrices.
利用二阶上三角矩阵分别构造了非交换的序群、拟序群、拟偏序群和拟格序群。
Let ( C,C+) be a quasi-lattice ordered group, H a directed and hereditary subset of G,.
设(G,G_+)为一个拟格序群,H为G_+的可传定向子集,令C_H=G_+·H~(-1),~H为相应的Toeplitz算子代数。
The Cover Functors and The Wreath Products of l-groups;
格序群的覆盖函子和圈积
G being an l-group,C(G)is the lattice of all convex l-subgr ou ps with G.
G是一个格序群(简称l-群),C(G)是G的凸l-子群格。