Fault diagnoses of hydraulic turbine using the dimension root similarity measure of single-valued neutrosophic sets

This paper proposes a dimension root distance and its similarity measure of single-valued neutrosophic sets (SVNSs), and then develops the fault diagnosis method of hydraulic turbine by using the dimension root similarity measure of SVNSs. By the similarity measure between the fault diagnosis patterns and a testing sample with single-valued neutrosophic information and the relation indices, we can determine the fault type and rank faults. Then, the vibration fault diagnosis of hydraulic turbine is presented to demonstrate the effectiveness and rationality of the proposed diagnosis method by the comparative analysis. The fault diagnosis results of hydraulic turbine show that the proposed diagnosis method not only gives the main fault types of hydraulic turbine but also provides useful information for multi-fault analyses and future fault trends. The developed method is effective and reasonable in the fault diagnosis of hydraulic turbine under single-valued neutrosophic environment.