Cluster analysis based on fuzzy relations

نویسندگان

  • Miin-Shen Yang
  • Hsing-Mei Shih
چکیده

In this paper, cluster analysis based on fuzzy relations is investigated. Tamura’s max-min n-step procedure is extended to all types of max-t compositions. A max-t similarity-relation matrix is obtained by beginning with a proximity-relation matrix based on the proposed max-t n-step procedure. Then a clustering algorithm is created for the max-t similarityrelation matrix. Three critical max-t compositions of max-min, max-prod and maxare compared. The maxcomposition is recommended as the 2rst choice among them. Several examples give more perspectives for di3erent choices of max-t compositions. Finally, the topic of incomplete data via max-t compositions is discussed. Max-t compositions can be e3ectively used to treat the t-connected incomplete data. c © 2001 Elsevier Science B.V. All rights reserved.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 120  شماره 

صفحات  -

تاریخ انتشار 2001