独立系统中的一种偏序关系
A Sort of Partial Order Relation in Independent Systems
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摘要: 首先提出了独立系统的矛盾组的概念,在不包含矛盾组的独立系统中建立了一种偏序关系,并对它的一 些特性进行了剖析与探讨。根据这种偏序关系,可将独立系统的元素划分成若干个集团,子集的独立性只依赖 于它与各个集团交集的基数。Abstract: The concept of incompatible group in independent systems is proposed. A sort of partial order relation is set up in independent systems , which do not contain any incompatible group. The characteristic of the concept is discussed. An independent system is divided into cliques according to the proposed partial order relation. The independence of a subset depends only on the cardinal number of intersection sets between itself and every clique.
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Key words:
- combinatorial theory /
- partial order /
- independence /
- critical /
- equivalent relation
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