{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:09:03Z","timestamp":1760144943237,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,6,4]],"date-time":"2024-06-04T00:00:00Z","timestamp":1717459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Guangxi Philosophy and Social Sciences Research Project","award":["23AGL001","72361002"],"award-info":[{"award-number":["23AGL001","72361002"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["23AGL001","72361002"],"award-info":[{"award-number":["23AGL001","72361002"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>A variety of process capability indices are applied to the quantitative measurement of the potential and performance of processes in manufacturing. As it is easy to understand the formulae of these indices, this method is easy to apply. Furthermore, a process capability index is frequently utilized by a manufacturer to gauge the quality of a process. This index can be utilized by not only an internal process engineer to assess the quality of the process but also as a communication tool for an external sales department. When the manufacturing process deviates from the target value T, the process capability index CPMK can be quickly detected, which is conducive to the promotion of smart manufacturing. Therefore, this study applied the index CPMK as an evaluation tool for process quality. As noted by some studies, process capability indices have unknown parameters and therefore must be estimated from sample data. Additionally, numerous studies have addressed that it is essential for companies to establish a rapid response mechanism, as they wish to make decisions quickly when using a small sample size. Considering the small sample size, this study proposed a 100 (1 \u2212 \u03b1)% confidence interval for the process capability index CPMK based on suggestions from previous studies. Subsequently, this study built a fuzzy testing model on the 100 (1 \u2212 \u03b1)% confidence interval for the process capability index CPMK. This fuzzy testing model can help enterprises make decisions rapidly with a small sample size, meeting their expectation of having a rapid response mechanism.<\/jats:p>","DOI":"10.3390\/axioms13060379","type":"journal-article","created":{"date-parts":[[2024,6,4]],"date-time":"2024-06-04T05:17:30Z","timestamp":1717478250000},"page":"379","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Fuzzy Testing Model Built on Confidence Interval of Process Capability Index CPMK"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6905-8209","authenticated-orcid":false,"given":"Wei","family":"Lo","sequence":"first","affiliation":[{"name":"School of Business Administration, Guangxi University of Finance and Economics, Nanning 530007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tsun-Hung","family":"Huang","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kuen-Suan","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan"},{"name":"Department of Business Administration, Chaoyang University of Technology, Taichung 413310, Taiwan"},{"name":"Department of Business Administration, Asia University, Taichung 413305, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chun-Min","family":"Yu","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6595-5746","authenticated-orcid":false,"given":"Chun-Ming","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Dongguan University of Technology, Dongguan 523808, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1080\/08982112.2013.801492","article-title":"Reducing welding defects in turnaround projects: A lean six sigma case study","volume":"26","author":"Anderson","year":"2014","journal-title":"Qual. 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