Developing a New Fuzzy Exponentially Weight Moving Average Control Chart for Small Sustained Process Shifts

碩士 === 國立成功大學 === 統計學系 === 105 === This research aims to develop a new fuzzy exponentially weighted moving average (EWMA) control chart for monitoring the process when the measurement data are fuzzy numbers. In this research, based on the fuzzy measures proposed by Buckley (1985), we construct a fuz...

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Bibliographic Details
Main Authors: Xiu-LingLee, 李秀玲
Other Authors: Jeh-Nan Pan
Format: Others
Language:zh-TW
Published: 2017
Online Access:http://ndltd.ncl.edu.tw/handle/7je2uh
Description
Summary:碩士 === 國立成功大學 === 統計學系 === 105 === This research aims to develop a new fuzzy exponentially weighted moving average (EWMA) control chart for monitoring the process when the measurement data are fuzzy numbers. In this research, based on the fuzzy measures proposed by Buckley (1985), we construct a fuzzy control chart with different degrees of membership to monitor the manufacturing process. Then, a new fuzzy average run length (fuzzy ARL) is developed to evaluate the detecting performance of our purposed fuzzy control chart. It can be used as the basis for obtaining the parameters of adjusted control limits. Finally, a numerical example with fuzzy measurement data is used to demonstrate the usefulness of our purposed fuzzy control chart. Moreover, a standard operating procedures (SOP) is setup accordingly. Hopefully, it may serve as a useful guideline for quality practitioners when monitoring and control the process quality when the measurement data are indeterminate fuzzy numbers.