Fault diagnosis of turbine based on fuzzy cross entropy of vague sets

The fuzzy cross entropy of vague sets, so-called vague cross entropy, is introduced by analogy with the cross entropy of probability distributions. And then a new method of the fault diagnosis is proposed on the basis of the vague cross entropy and is applied to the fault diagnosis of turbine. The vague cross entropy between a testing sample and the knowledge of system faults is evaluated in the fault diagnosis of the turbine vibration. If the cross-entropy value is small, the testing sample is near to a type of fault knowledge. Then, the type of vibration fault is determined according to the minimum cross-entropy value. The fault-diagnosis example of the turbine 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.