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.
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