DISCRETE PERFECT SETS AND THEIR APPLICATION IN CLUSTER ANALYSIS

摘要

A formalization of the fuzzy concept of a cluster is investigated within the framework of discrete mathematical analysis. Based on the so-called discrete perfect sets, an attempt is made to mathematically realize the heuristic Everitt definition. Discrete perfect sets (DPSs) are considered and a DPS algorithm is constructed on their basis. The algorithm filters the original space by singling out its densest subset against a general background.