Attribute Service Performance Index Based on Poisson Process
<p>Membership functions of <math display="inline"><semantics> <mrow> <mi>η</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msup> <mi>η</mi> <mo>′</mo> </msup> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>.</p> "> Figure 2
<p>Membership functions of <math display="inline"><semantics> <mrow> <msup> <mi>η</mi> <mo>′</mo> </msup> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <msub> <mi>C</mi> <mn>0</mn> </msub> </mrow> </semantics></math> <math display="inline"><semantics> <mo>=</mo> </semantics></math> 0.896 and <math display="inline"><semantics> <mrow> <mi>η</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <msubsup> <mi>S</mi> <mrow> <mi>λ</mi> <mn>0</mn> </mrow> <mo>*</mo> </msubsup> </mrow> </semantics></math> <math display="inline"><semantics> <mo>=</mo> </semantics></math> 0.900.</p> ">
Abstract
:1. Introduction
2. An Attribute Service Performance Index
3. Fuzzy Hypothesis Testing Based on Service Performance Index
- (1)
- Reject if , then the service performance needs to improve.
- (2)
- Do not reject if , then the service performance has no need to improve.
- (1)
- If , then do not reject and assume that .
- (2)
- If , then do not make any decision on whether to reject or not.
- (3)
- If 0.5, then reject and assume that .
4. A Practical Application
5. Conclusions
6. Limitations and Future Research
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Conflicts of Interest
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Chen, K.-S.; Hsu, C.-H.; Hsu, T.-H. Attribute Service Performance Index Based on Poisson Process. Mathematics 2021, 9, 3144. https://doi.org/10.3390/math9233144
Chen K-S, Hsu C-H, Hsu T-H. Attribute Service Performance Index Based on Poisson Process. Mathematics. 2021; 9(23):3144. https://doi.org/10.3390/math9233144
Chicago/Turabian StyleChen, Kuen-Suan, Chang-Hsien Hsu, and Ting-Hsin Hsu. 2021. "Attribute Service Performance Index Based on Poisson Process" Mathematics 9, no. 23: 3144. https://doi.org/10.3390/math9233144