P-集合与它的动态等价类特征

摘要

By embedding the dynamic characteristics into the finite Cantor set and improving it, P-sets were proposed. P-sets have dynamic characteristics. P-sets are a pair of sets composed of internal P-set XF ( internal packet set XF ) and outer p-set XF( outer packet set XF). By using P-sets, the concepts of internal P-equivalence classes, outer P-equiva-lence classes and P-equivalence classes were presented. The theorems were obtained such as the P-equivalence classes reduction theorem, the internal point theorem of internal P-equivalence classes discrete interval, the external point theorem of outer P-equivalence classes discrete interval,the subinterval theorem of internal P-equivalence classes discrete interval, and P-equivalence classes identification criterion. Using these results, the applications of P-equivalence classes in searching-identification about unknown information were given. The paper shows that there are overlapping and osmosis spaces between P-sets and cantor sets,and some new results are hidden in them.%P-集合(packet sets)是把动态特性引入到有限普通集合(Cantor set)内,以改进有限普通集合而提出的.P-集合具有动态特性.P-集合是由内p-集合XF (internal packet set XF)与外p-集合XF (outer packet set XF)构成的集合对.利用p集合,提出内P-等价类、外P-等价类、P等价类的概念；给出P-等价类还原定理、内P-等价类离散区间内点定理、外P-等价类离散区间外点定理、P-等价类离散区间子区间定理、P-等价类辨识准则；利用这些结果给出P-等价类在未知信息搜索-辨识中的应用.结果表明,p-集合与普通集合之间存在交叉、渗透空间,一些新结果潜藏在这个空间中.