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1.This paper discusses first a special kind of attribute sets——closed attribute sets,which are equal to their closure,and then gives a necessary and sufficient judgement theorem and some properties for them,proves the existence and uniqueness of the minimal generating subset of all closed set on a relational schema. Based on the minimal generating subset,an algorithm for constructing Armstrong relation is given at last,which supplements the constructing algorithm not shown in references[1,2]
本文首先讨论了一类特殊的属性子集———闭属性集 ,即与其闭包相等的属性子集 ,给出了这类属性集的判定充要定理及一些性质 ,证明了关系模式上所有闭属性集族的最小生成子族的存在唯一性 ,最后给出了一个基于最小生成子族的Armstrong关系的构造算法 ,弥补了 [1,2 ]在算法方面的不足收藏指正
2.Som e new characteristic theorem s of LF alm ost sem i-continuous order- hom om orphism s are given by m eans of the concepts of δ-closure operator, δ-conver- gence and S-convergence ofm olecularnets and fuzzy ideals.
利用分子网和模糊理想的δ-闭包算子、δ-收敛性及S-收敛性等概念给出了LF几乎半连续序同态的一些新的特征定理收藏指正
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