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Open AccessArticle

The Fuzzy u-Chart for Sustainable Manufacturing in the Vietnam Textile Dyeing Industry

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[-15]Department of Industrial Engineering and Management, National Kaohsiung University of Applied Sciences, Kaohsiung 80778, Taiwan
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Faculty of Finance-Banking, Lac Hong University, Dong Nai 810000, Vietnam
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Office of Scientific Research, Lac Hong University, Dong Nai 810000, Vietnam
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Department of Industrial Engineering and Management, Cheng Shiu University, Kaohsiung 83347, Taiwan
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Author to whom correspondence should be addressed.
Academic Editors: Hsien-Chung Wu and Angel Garrido
Symmetry 2017, 9(7), 116; https://doi.org/10.3390/sym9070116
Received: 31 May 2017 / Revised: 30 June 2017 / Accepted: 7 July 2017 / Published: 12 July 2017
(This article belongs to the Special Issue Fuzzy Sets Theory and Its Applications)
The inevitability of measurement errors and/or humans of subjectivity in data collection processes make accumulated data imprecise, and are thus called fuzzy data. To adapt to this fuzzy domain in a manufacturing process, a traditional u control chart for monitoring the average number of nonconformities per unit is required to extend. In this paper, we first generalize the u chart, named fuzzy u-chart, whose control limits are built on the basis of resolution identity, which is a well-known fuzzy set theory. Then, an approach to fuzzy-logic reasoning, incorporating the decision-maker’s varying levels of optimism towards the online process, is proposed to categorize the manufacturing conditions. In addition, we further develop a condition-based classification mechanism, where the process conditions can be discriminated into intermittent states between in-control and out-of-control. As anomalous conditions are monitored to some extent, this condition-based classification mechanism can provide the critical information to deliberate the cost of process intervention with respect to the gain of quality improvement. Finally, the proposed fuzzy u-chart is implemented in the Vietnam textile dyeing industry to replace its conventional u-chart. The results demonstrate that the industry can effectively evade unnecessary adjustments to its current processes; thus, the industry can substantially reduce its operational cost and potential loss. View Full-Text
Keywords: process monitoring and control; resolution-identity theorem; fuzzy u-chart; level of optimism; condition-based classification; textile-dyeing nonconformities process monitoring and control; resolution-identity theorem; fuzzy u-chart; level of optimism; condition-based classification; textile-dyeing nonconformities
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Truong, K.-P.; Shu, M.-H.; Nguyen, T.-L.; Hsu, B.-M. The Fuzzy u-Chart for Sustainable Manufacturing in the Vietnam Textile Dyeing Industry. Symmetry 2017, 9, 116.

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