Abstract. This paper continues the research within the discrete mathematical analysis on formalization of the fuzzy concept of cluster. By means of so-called discrete perfect sets, an attempt is made to implement mathematically the heuristic Everitt definition. Discrete perfect sets are considered and a DPS algorithm is constructed on their basis. The algorithm performs filtering of the original space by providing its densest subset on the general background. Figs: 8. Refs: 16 titles.

Keywords: discrete mathematical analysis, density, localization length, fuzzy set, perfect set, morphological filter.