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

Kuen-Suan Chen and Tsun-Hung Huang
Additional contact information
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

Mathematics, 2021, vol. 9, issue 19, 1-13

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 ? ? )% confidence region of the process mean and process standard deviation. Next, we obtained the 100(1 ? ? )% 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.

Keywords: fuzzy evaluation model; smaller-the-better; membership function; quality characteristic; confidence interval (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/19/2513/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/19/2513/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:19:p:2513-:d:651100

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().