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Trees and Hierarchical Structures - Proceedings of a Conference held at Bielefeld, FRG, Oct. 5-9th, 1987 (Paperback, 1990 ed.)
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Trees and Hierarchical Structures - Proceedings of a Conference held at Bielefeld, FRG, Oct. 5-9th, 1987 (Paperback, 1990 ed.)
Series: Lecture Notes in Biomathematics, 84
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The "raison d'etre" of hierarchical dustering theory stems from one
basic phe nomenon: This is the notorious non-transitivity of
similarity relations. In spite of the fact that very often two
objects may be quite similar to a third without being that similar
to each other, one still wants to dassify objects according to
their similarity. This should be achieved by grouping them into a
hierarchy of non-overlapping dusters such that any two objects in
ne duster appear to be more related to each other than they are to
objects outside this duster. In everyday life, as well as in
essentially every field of scientific investigation, there is an
urge to reduce complexity by recognizing and establishing
reasonable das sification schemes. Unfortunately, this is
counterbalanced by the experience of seemingly unavoidable
deadlocks caused by the existence of sequences of objects, each
comparatively similar to the next, but the last rather different
from the first."
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