An indiscernibility relationship between intuitionistic fuzzy sets is constructed by using a kind of hausdorff measure on intuitionistic fuzzy sets at first. Also, the operators of lower approximation with accuracy ε are introduced by this indiscernibility relation, and its properties are discussed. Then, the intuitionistic fuzzy rough set model is defined based on the indiscernibility relation and lower approximate reductions, and a kind of attribute reduction algorithm of this model is given. An example is employed to show its application.
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