A Novel Approach of Fuzzy Control Chart with Fuzzy Process Capability Indices Using Alpha Cut Triangular Fuzzy Number

Statistical Quality Control is a valuable strategy that applies to the statistical technique for monitoring a manufacturing system under particular situations. On the other hand, the fuzzy set theory is an ideal instrument to cope with an unclear situation. The existing studies are restricted, and there is still mystery behind the unclear data. This paper deals with technique: namely, the fuzzy control chart based on fuzzy process capability indices (FCPI) using triangular fuzzy numbers (TFNs). Alpha cut theory is applied in statistical quality control for fuzzy process control industrial application. This is a five-phase study that deals with the control chart using capability indices. The numerical example is also performed using the proposed technique. This paper would help to better assess/understand the manufacturing system data and would explore the application of the fuzzy control techniques.

Automated summary

This paper introduces a fuzzy control chart technique based on fuzzy process capability indices (FCPI) and applies alpha cut theory in statistical quality control for fuzzy process control industrial application. The study consists of five phases, exploring the control chart technique using capability indices, and includes a numerical example to demonstrate the effectiveness of the proposed technique. This paper is important for better assessing manufacturing system data and exploring the application of fuzzy control techniques.