Abstract
In this paper, we discover the method's limitation of grey incidence cluster analysis. The reason is that classification was adopted firstly before building grey equivalence relation. Base on these reasons, several significant relations were put forward combining with fuzzy mathematics's relevance theory, for example, grey reflexive relation, grey symmetric relation, grey transitive relation and so on. Then on the basis of grey equivalence relation's concept and its theory, it is proven to be rational that grey incidence cluster analysis to set by using grey equivalence relation on a set. In other words, the grey incidence cluster analysis method which we have improved is more perfect in theory.
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