Developing the Nonparametric Signed Rank Control Chart with Fuzzy Data

Document Type : Research Paper

Authors

1 Islamic Azad University, South Tehran Branch.

2 Islamic Azad University, South Tehran Branch

Abstract

Nonparametric control charts are used for the controlling of processes with non-normal or unknown distributions. Also fuzzy control charts are used when there is uncertainty in the sampling data. The signed rank nonparametric control chart use for the detecting changes in mean (median). In this paper the signed rank control chart is developed with fuzzy data and the proposed chart is called as fuzzy signed rank control chart. For this purpose, three different approaches with different ambiguity are proposed. A simulation program is used for calculating of the performance of fuzzy signed rank control chart based on average run length (ARL). The control chart performance study for three proposed approaches with three different distributions as short-tailed (Uniform), middle-tailed (Normal) and heavy-tailed (Laplace). Numerical results show suitable performance of the fuzzy signed rank control chart in the controlling of fuzzy non-normal process.

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