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A Fuzzy Evaluation Model Aimed at Smaller-the-Better-Type Quality Characteristics

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  • Kuen-Suan Chen

    (Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan
    Department of Business Administration, Chaoyang University of Technology, Taichung 413310, Taiwan
    Institute of Innovation and Circular Economy, Asia University, Taichung 41354, Taiwan)

  • Tsun-Hung Huang

    (Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan)

Abstract

Numerous key components of tool machines possess critical smaller-the-better-type quality characteristics. Under the assumption of normality, a one-to-one mathematical relationship exists between the process quality index and the process yield. Therefore, this paper utilized the index to produce a quality fuzzy evaluation model aimed at the small-the-better-type quality characteristics and adopted the model as a decision-making basis for improvement. First, we derived the 100(1 − α )% confidence region of the process mean and process standard deviation. Next, we obtained the 100(1 − α )% confidence interval of the quality index using the mathematical programming method. Furthermore, a one-tailed fuzzy testing method based on this confidence interval was proposed, aiming to assess the process quality. In addition, enterprises’ pursuit of rapid response often results in small sample sizes. Since the evaluation model is built on the basis of the confidence interval, not only can it diminish the risk of wrong judgment due to sampling errors, but it also can enhance the accuracy of evaluations for small sample sizes.

Suggested Citation

  • Kuen-Suan Chen & Tsun-Hung Huang, 2021. "A Fuzzy Evaluation Model Aimed at Smaller-the-Better-Type Quality Characteristics," Mathematics, MDPI, vol. 9(19), pages 1-13, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2513-:d:651100
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    References listed on IDEAS

    as
    1. Oh, Eun-Teak & Chen, Kuo-Min & Wang, Lu-Mei & Liu, Ren-Jye, 2015. "Value creation in regional innovation systems: The case of Taiwan's machine tool enterprises," Technological Forecasting and Social Change, Elsevier, vol. 100(C), pages 118-129.
    2. Tai-Shan Lee & Ching-Hsin Wang & Chun-Min Yu, 2019. "Fuzzy Evaluation Model for Enhancing E-Learning Systems," Mathematics, MDPI, vol. 7(10), pages 1-11, October.
    3. Kuen-Suan Chen & Hsi-Tien Chen & Tsang-Chuan Chang, 2017. "The construction and application of Six Sigma quality indices," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2365-2384, April.
    4. Mei-Fang Wu & Hsuan-Yu Chen & Tsang-Chuan Chang & Chih-Feng Wu, 2019. "Quality evaluation of internal cylindrical grinding process with multiple quality characteristics for gear products," International Journal of Production Research, Taylor & Francis Journals, vol. 57(21), pages 6687-6701, November.
    5. Gene M. Grossman & Elhanan Helpman, 2002. "Integration versus Outsourcing in Industry Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 85-120.
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