
Monotonic Systems and Their Properties E. I. Kuznecov, I,B. Muchnik, L.V. Shvartzer (translated from Russian by D. Fradkin) July 21, 2003 Abstract This paper presents, for the first time, a systematic description of a new method of structural analysis of data, based on socalled monotonic systems. It is aimed at constructing a systematic description of the data. In this theory, the structure of the data is described as a sequence of mathematical objects  quasikernels, which gives this approach a certain resemblance to a classical agglomerative methods (however here the starting point of the sequence  the kernel  is determined by the theory). The paper mainly concerns itself with presenting the mathematical basis for the suggested methods. (pdf) 