Developing a Novel Fuzzy Evaluation Model by One-Sided Specification Capability Indices

Wei Lo, Chun-Ming Yang, Kuei-Kuei Lai, Shao-Yu Li and Chi-Han Chen
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Wei Lo: School of Business Administration, Guangxi University of Finance and Economics, Guangxi 530003, China
Chun-Ming Yang: School of Economics and Management, Dongguan University of Technology, Dongguan 523808, China
Kuei-Kuei Lai: Department of Business Administration, Chaoyang University of Technology, Taichung 41349, Taiwan
Shao-Yu Li: International Language Center, Dayeh University, Changhua 51591, Taiwan
Chi-Han Chen: Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 41170, Taiwan

Mathematics, 2021, vol. 9, issue 10, 1-11

Abstract: When all of the one-sided specification indices of each quality characteristic reach the requirements of the process quality level, they can ensure that the process capability of the product meets the requirements of the process quality level. This study constructs a fuzzy membership function based on the upper confidence limit of the index, derives the fuzzy critical value, and then labels the fuzzy critical value on the axis of the visualized radar chart as well as connects adjacent critical points to shape a regular polygonal critical region. Next, this study calculates the observed value of the index to estimate and mark it on the axis for forming a visualized fuzzy radar evaluation chart. Obviously, this fuzzy evaluation model not only reduces the testing cost but also makes the quality level quickly meet the requirements of the specifications. Further, the radar chart can reduce the risk of misjudgment attributable to sampling errors and help improve the accuracy of evaluation by a confidence-upper-limit-based fuzzy evaluation model. Therefore, this easy-to-use visualized fuzzy radar evaluation chart is used as an evaluation interface, which has good and convenient management performance to identify and improve critical-to-quality quickly. Improving the quality of the process before the product is completed will also have the advantage of reducing social losses and environmental damage costs.

Keywords: process capability indices; membership function; fuzzy critical value; one-sided specification capability indices; radar chart (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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