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3.3.2.1: Classification

Let D be a set of objects. A system of non empty, pair-wise disjoint subsets K1,K2,...,Kn with D=K1K2...Kn , KiKj=Ø i,j{1,...,n}, ij is called a classification of D into classes K1,K2,...,Kn .
A sequence of such systems is called a strongly hierarchical classification system if for each pair of a class from a system and its successor the class of the successor system is either a subset of its predecessor class or disjoint to it. This means that each class is divided into subclasses in the successor system.

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