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.
Highlights
The output value of Taiwan’s machine tools is ranked seventh in the world, mainly sold to countries with emerging markets, such as Southeast Asia and Eastern Europe, and the export volume is ranked fifth in the world
The remainder of this paper is organized as follows: In Section 2, we present the estimations of process quality indices, including finding a maximum likelihood estimator (MLE) of one-sided specification capability indices and its 100(1 − α)% upper confidence limits
Given the upper confidence limit of the one-sided specification index, the risk of misjudgment caused by sampling errors can be reduced
Summary
The output value of Taiwan’s machine tools is ranked seventh in the world, mainly sold to countries with emerging markets, such as Southeast Asia and Eastern Europe, and the export volume is ranked fifth in the world. As noted by Chen et al [15], the index CPU is suitable for the process of the smaller-the-better (STB) quality characteristic, whereas CPL is suitable for the process of the larger-the-better (LTB) quality characteristic These two one-sided specification capability indices are explained as follows: CPU =. CPK suits the process of the nominal-the-better (NTB) quality characteristic This two-sided specification index can be expressed as follows: CPL =. The easy-to-use visualized radar chart is used as an evaluation interface, which has good and convenient management performance to identify and improve critical-to-quality quickly. The remainder of this paper is organized as follows: In Section 2, we present the estimations of process quality indices, including finding a maximum likelihood estimator (MLE) of one-sided specification capability indices and its 100(1 − α)% upper confidence limits.
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