Fuzzy clustering based on vague relations

Authors:
Faxin Zhao;Z. M. Ma;Li Yan
Affiliations:
Northeastern University, Shenyang, Liaoning, P.R. China;Northeastern University, Shenyang, Liaoning, P.R. China;Northeastern University, Shenyang, Liaoning, P.R. China
Venue:
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Year:
2006

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Abstract

A vague relation, as well as an intuitionistic fuzzy relation, is a further generalization of a fuzzy relation. In fact there are situations where vague relations are more appropriate. In this paper, fuzzy clustering based on vague relations is investigate. On the basis of max-t & min-s compositions, we make a further extension of n-step procedure. With the proposed n-step procedure, a similarity vague relation matrix is obtained by beginning with a proximity vague relation matrix. Then a clustering algorithm is proposed for the similarity vague relation matrix.