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The fuzzy cross entropy of intuitionistic fuzzy sets, so-called intuitionistic cross entropy, is introduced by analogy with the cross entropy of probability distributions. This paper introduces the concepts of discrimination information and cross-entropy in the intuitionistic fuzzy sets. Based on this improved entropy measure, we add information of an intuitionistic fuzzy index and reveal an intuitive and mathematical connection between the notions of entropy for intuitionistic fuzzy sets in terms of fuzziness and intuitionism. Finally, a fault diagnosis example of the turbine has been illustrated. The example demonstrates that the proposed method cannot only diagnose the main fault types of the turbine, it can also detect useful information for future trends and multi-fault analysis.