Fuzzy c-means clustering with mutual relation constraints: construction of two types of algorithms

  • Authors:
  • Yasunori Endo;Yukihiro Hamasuna

  • Affiliations:
  • Department of Risk Engineering, Faculty of Systems and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan;Department of Informatics, School of Science and Engineering, Kinki University, Higashiosaka, Osaka, Japan

  • Venue:
  • KES'11 Proceedings of the 15th international conference on Knowledge-based and intelligent information and engineering systems - Volume Part I
  • Year:
  • 2011

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Abstract

Recently, semi-supervised clustering attracts many researchers' interest. In particular, constraint-based semi-supervised clustering is focused and the constraints of must-link and cannot-link play very important role in the clustering. There are many kinds of relations as well as must-link or cannot-link and one of the most typical relations is the trade-off relation. Thus, in this paper we formulate the trade-off relation and propose a new "semi-supervised" concept called mutual relation. Moreover, we construct two types of new clustering algorithms with the mutual relation constraints based on the well-known and useful fuzzy c-means, called fuzzy c-means with the mutual relation constraints.