Abstract

In this paper, the triple valued fuzzy set is selected as the cut set of intuitionistic fuzzy set and four kinds of cut sets of intuitionistic fuzzy sets are selected to investigate the intuitionistic fuzzy rough set. The intuitionistic fuzzy rough set is constructed by using the representation theorem of intuitionistic fuzzy set, and it is proved to be equivalent to the original intuitionistic fuzzy rough set. These works give a new perspective on intuitionistic fuzzy rough sets, which promotes the further research and development of the theory of intuitionistic fuzzy sets and rough sets.

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