Fuzzy Testing Method of Process Incapability Index

Kuen-Suan Chen, Tsun-Hung Huang, Jin-Shyong Lin (), Wen-Yang Kao and Wei Lo
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Kuen-Suan Chen: Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan
Tsun-Hung Huang: Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan
Jin-Shyong Lin: Department of Mechanical Engineering, National Chin-Yi University of Technology, Taichung 411030, Taiwan
Wen-Yang Kao: Office of Physical Education, National Chin-Yi University of Technology, Taichung 411030, Taiwan
Wei Lo: School of Business Administration, Guangxi University of Finance and Economics, Nanning 530007, China

Mathematics, 2024, vol. 12, issue 5, 1-11

Abstract: The process capability index is a tool for quality measurement and analysis widely used in the industry. It is also a good tool for the sales department to communicate with customers. Although the value of the process capability index can be affected by the accuracy and precision of the process, the index itself cannot be differentiated. Therefore, the process incapability index is directly divided into two items, accuracy and precision, based on the expected value of the Taguchi process loss function. In fact, accuracy and precision are two important reference items for improving the manufacturing process. Thus, the process incapability index is good for evaluating process quality. The process incapability index contains two unknown parameters, so it needs to be estimated with sample data. Since point estimates are subject to misjudgment incurred by the inaccuracy of sampling, and since modern businesses are in the era of rapid response, the size of sampling usually tends to be small. A number of studies have suggested that a fuzzy testing method built on the confidence interval be adopted at this time because it integrates experts and the experience accumulated in the past. In addition to a decrease in the possibility of misjudgment resulting from sampling error, this method can improve the test accuracy. Therefore, based on the confidence interval of the process incapability index, we proposed the fuzzy testing method to assess whether the process capability can attain a necessary level of quality. If the quality level fails to meet the requirement, then an improvement must be made. If the quality level exceeds the requirement, then it is equivalent to excess quality, and a resource transfer must be considered to reduce costs.

Keywords: process incapability index; Taguchi loss function; confidence interval; fuzzy testing method; sampling error (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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