Fuzzy Regression Control Chart Based on α-cut Approximation

Abstract

The fuzzy regression control chart is a functional technique to evaluate the process in which the average has a trend and the data represents a linguistic or approximate value. In this study, the theoretical structure of the “α-level fuzzy midrange for α-cut fuzzy X -regression control chart” is proposed for triangular (TFN) and trapezoidal (TrFN) membership functions. In addition, the real world application is evaluated with fuzzy X regression control charts and fuzzy R control charts for the triangular membership function.

Keywords

• fuzzy sets
• fuzzy numbers
• control charts
• regression control chart
• tool wearing