application of decision on beliefs for fault detection in uni-variate statistical process control

in this research, the decision on belief (dob) approach was employed to analyze and classify the states of uni-variate quality control systems. the concept of dob and its application in decision making problems were introduced, and then a methodology for modeling a statistical quality control problem by dob approach was discussed. for this iterative approach, the belief for a system being out-of-control was updated by taking new observations on a given quality characteristic. this can be performed by using bayesian rule and prior beliefs. if the beliefs are more than a specific threshold, then the system will be classified as an out-of-control condition. finally, a numerical example and simulation study were provided for evaluating the performance of the proposed method.