An Innovative Design and Development of Grey Fuzzy Controller

System reliability modeling in terms of fuzzy set theory is basically utilizing the type-2 fuzzy sets, where the fuzzy membership is assumed as point-wise positive function ranging on [0,1]. Such a practice might not be practical because an interval valued membership may reflect the vagueness of system better according to human thinking patterns. The Grey fuzzy set is more capable to handle the uncertainty of system using type-2 fuzzy set.