Fuzzy Supplier Selection Method Based on Smaller-The-Better Quality Characteristic
Abstract
:1. Introduction
2. Literature Review
3. Research Design and Methods
3.1. Research Design
3.2. Confidence Interval of Six Sigma Index
3.3. Developing a Fuzzy Supplier Selection Model
- (1)
- If , then is rejected, and is concluded.
- (2)
- If , then is not rejected, and is concluded.
- (3)
- If , then is rejected, and is concluded.
- (1)
- If , then is rejected, and is concluded.
- (2)
- If , then the decision of whether to reject/not reject cannot be made.
- (3)
- If , then is not rejected, and is concluded.
4. Numerical Example
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
Glossary
process average | |
process standard deviation | |
estimator of | |
S | estimator of |
the observed value of | |
s | the observed value of S |
significance level | |
n | sample size |
six sigma index | |
estimator of six sigma index | |
upper specification limit | |
STB | smaller-the-better |
cumulative distribution function of standard normal distribution | |
confidence region | |
lower confidence limit of | |
upper confidence limit of | |
estimator of six sigma index for supplier h | |
the observed value of | |
membership function of the fuzzy number |
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Method | Fuzzy Testing | Statistical Testing |
---|---|---|
Testing tool | Fuzzy testing ratio | Confidence intervals and |
Calculation process | 0.309, 1.903, 0.162. | [2.585, 4.775] [4.047, 6.771] |
Results | Reject | Do not reject |
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Yu, C.-M.; Chen, K.-S.; Lai, K.-K.; Hsu, C.-H. Fuzzy Supplier Selection Method Based on Smaller-The-Better Quality Characteristic. Appl. Sci. 2020, 10, 3635. https://doi.org/10.3390/app10103635
Yu C-M, Chen K-S, Lai K-K, Hsu C-H. Fuzzy Supplier Selection Method Based on Smaller-The-Better Quality Characteristic. Applied Sciences. 2020; 10(10):3635. https://doi.org/10.3390/app10103635
Chicago/Turabian StyleYu, Chun-Min, Kuen-Suan Chen, Kuei-Kuei Lai, and Chang-Hsien Hsu. 2020. "Fuzzy Supplier Selection Method Based on Smaller-The-Better Quality Characteristic" Applied Sciences 10, no. 10: 3635. https://doi.org/10.3390/app10103635