A ROBUST ALGORITHM FOR SOLUTION OF THE FUZZY CLUSTERING PROBLEM ON THE BASIS OF THE FUZZY JOINT POINTS METHOD

Nasibov E.

CYBERNETICS AND SYSTEMS ANALYSIS, vol.44, no.1, pp.7-17, 2008 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.1007/s10559-008-0002-0
  • Journal Name: CYBERNETICS AND SYSTEMS ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.7-17
  • Keywords: clustering, fuzzy joint points (FJP), fuzzy joint set, robustness
  • Dokuz Eylül University Affiliated: No

Abstract

The approach called the method of Fuzzy Joint Points (FJP) is considered in which the fuzziness of clusterization lies in the detailedness of taking into account properties of elements in forming sets of similar elements. Based on this approach, a new robust variant of the FJP algorithm is proposed. The properties of this FJP algorithm are analyzed and a sufficient condition for the correct recognition of the hidden structure of clusters is proved.