Fuzzy rule-based $\tilde p$ and $n\tilde p$ control charts

In a process using monitoring with p-control charts or np-control charts, due to the uncertainty of the attribute data, traditional control charts may be insufficient. In this case, fuzzy control charts are pertinent control techniques used to capture vagueness. Many studies in the literature are configured with transformation techniques at the decision stage, and in this study, fuzzy control charts are constructed using rules. Therefore, fully fuzzy control charts are first introduced for fuzzy $\tilde p$ -control charts based on constant sample size and variable sample size, and fuzzy $n\tilde p$ -control charts are subsequently introduced using decision rules for the process state conditions. In addition, “rather in control” and “rather out of control” decisions can be considered in monitoring of the process.