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Comparing D_(p,q)-distance and Fuzzy Bootstrap with Defuzzification Techniques in control chart of Fuzzy mean

A. Shabani, Gh. Yari, E. Baloui Jamkhaneh


Control charts are one of the most important tools in statistical process control that improve quality process and ensure required levels. In traditional control charts many quality characteristics like appearance, softness, color, etc cannot be expressed in numerical scale. Fuzzy sets theory is a powerful mathematical approach to analyze uncertain, ambiguous or incomplete information. Fuzzy control charts have been extended by converting fuzzy sets associated with uncertain values into scalars regarded as representative values. In this note, we will used the defuzzification methods and fuzzy bootstrap control chart in calculating of control limits fuzzy mean when the observations are triangular fuzzy numbers. We are representing α-cut control chart and fuzzy decision for in control or out of control of the process.


Control charts, Triangular fuzzy number, defuzzification techniques, D_(p,q)-distance, The α-cut, Fuzzy decision.

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