An Application of the Pythagorean Fuzzy Sets in the Fault Diagnosis

Abstract In this paper, a comprehensive review and critical analyses of methods based on the ordinary fuzzy set, Atanassov’s intuitionistic its extensions have been conducted to show their limitations defects. Then, novel similarity measure generalized score function has introduced that incorporates significance (importance) information, making it more intuitive compare them. The proposed method is employed for fault diagnosis steam turbine generator unit under Pythagorean environment. Ten types rotating machines are established as failure patterns in nine different vibration frequency ranges, expressed terms numbers. superiority dealing with uncertain vague information shown by comparing some existing measures numerical examples.