Fault diagnoses of steam turbine using the exponential similarity measure of neutrosophic numbers

Since the neutrosophic number consists of its determinate part d and its indeterminate part eI denoted by N = d + eI, it is very suitable for dealing with real problems with indeterminacy. Therefore, this paper proposes the exponential similarity measure of neutrosophic numbers and a fault diagnosis method of steam turbine by using the exponential similarity measure of neutrosophic numbers. By the similarity measure between the fault diagnosis patterns and a testing sample with neutrosophic numbers and its relation indices, we can determine the fault type and indicate fault trends. Then, the vibration fault diagnosis results of steam turbine demonstrate the effectiveness and rationality of the proposed diagnosis method. The proposed diagnosis method not only gives the main fault types of steam turbine but also provides useful information for multi-fault analyses and future fault trends. The developed diagnosis method is effective and reasonable in the fault diagnosis of steam turbine under an indeterminate environment.