Perfomance Fuzzy Multinomial Control Chart

One of the most useful tool in Statistics Process Control is control chart. This technique has been used widely in industry and services. One of the most simple attribute control chart is p chart, when the item classified into to categories. In its development, if each item of quality characteristics classify in more than two categories multinomial control chart more appropriate. The classify such as Excellent, Good, Fair and Bad. However, if there is vagueness of the classification for each item, the fuzzy multinomial control chart is more appropriately used. By using triangular fuzzy number to calculate the representative value and simulation study, the control chart will be evaluated based on the value of average run length. For small shift of parameter p_i , the value of average run length when the process is in control closed to 370 and when the process out of control the value of average run length are decrease. Based on this this value, it shown that the Fuzzy Multinomial control chart is sensitive.