Abstract
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.
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Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 17–32, March–April 2014.
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Agayan, S.M., Bogoutdinov, S.R. & Dobrovolsky, M.N. Discrete Perfect Sets and Their Application in Cluster Analysis. Cybern Syst Anal 50, 176–190 (2014). https://doi.org/10.1007/s10559-014-9605-9
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DOI: https://doi.org/10.1007/s10559-014-9605-9