Abstract

The control chart is a graphical tool for monitoring the activities of a manufacturing process.
 It plays a vital role in Statistical Process Control (SPC). These charts help us to take correct
 decisions. The use of statistical methods in statistical quality control has a long history. The P-
 chart plays the important role in controlling the fraction of nonconforming article produced.
 The use of fuzzy has an effective role with inaccurate data. Great efforts have been made in the
 direction of combining the Quality Control with fuzzy concept. Therefore; Fuzzy control chart
 are connecting link between fuzzy logic and Quality Control technique, the goal of this
 connection is to combine the advantage of both disciplines in order to process deal with linguistic
 concepts and classified each item in more than two categories such as bad, medium, good, very
 good and excellent.
 This paper presents an extension of standard control chart to deal with linguistic categories
 and the variable sampling size (VSS), it is named as fuzzy multinomial charts (FM-chart), and
 we illustrate this approach by numerical example. This paper is comparing FM-chart with the
 conventional p – chart and EWMA Control Chart. It is seen that FM chart with VSS performs
 better than the conventional charts, this method is more sensitive, accurate and more economic
 for assisting decision maker to control the operation system as early time, especially when there
 is a change in sample sizes.

Full Text
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