{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T06:09:44Z","timestamp":1764828584224,"version":"build-2065373602"},"reference-count":44,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2017,7,12]],"date-time":"2017-07-12T00:00:00Z","timestamp":1499817600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004663","name":"Ministry of Science and Technology of Taiwan","doi-asserted-by":"publisher","award":["MOST104-2221-E-151-018-MY3"],"award-info":[{"award-number":["MOST104-2221-E-151-018-MY3"]}],"id":[{"id":"10.13039\/501100004663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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\u2019s 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.<\/jats:p>","DOI":"10.3390\/sym9070116","type":"journal-article","created":{"date-parts":[[2017,7,12]],"date-time":"2017-07-12T10:36:12Z","timestamp":1499855772000},"page":"116","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["The Fuzzy u-Chart for Sustainable Manufacturing in the Vietnam Textile Dyeing Industry"],"prefix":"10.3390","volume":"9","author":[{"given":"Kim-Phung","family":"Truong","sequence":"first","affiliation":[{"name":"[-15]Department of Industrial Engineering and Management, National Kaohsiung University of Applied Sciences, Kaohsiung 80778, Taiwan"},{"name":"Faculty of Finance-Banking, Lac Hong University, Dong Nai 810000, Vietnam"}]},{"given":"Ming-Hung","family":"Shu","sequence":"additional","affiliation":[{"name":"[-15]Department of Industrial Engineering and Management, National Kaohsiung University of Applied Sciences, Kaohsiung 80778, Taiwan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8268-9854","authenticated-orcid":false,"given":"Thanh-Lam","family":"Nguyen","sequence":"additional","affiliation":[{"name":"Office of Scientific Research, Lac Hong University, Dong Nai 810000, Vietnam"}]},{"given":"Bi-Min","family":"Hsu","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering and Management, Cheng Shiu University, Kaohsiung 83347, Taiwan"}]}],"member":"1968","published-online":{"date-parts":[[2017,7,12]]},"reference":[{"key":"ref_1","unstructured":"Montgomery, D.C. 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