Fuzzy Testing for One-Sided Process Capability Indices |
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Authors: | Ching-Ho Yen |
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Affiliation: | 1. Department of Industrial Engineering &2. Management Information , Huafan University , Taipei , Taiwan jimyen.iem92g@nctu.edu.tw |
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Abstract: | Process capability indices are widely used to evaluate the performance of processes in the manufacturing industry. Over the years, the issues have been investigated extensively. Some articles have studied them with fuzzy estimation. However, it seems that no article has proposed a version of triangular fuzzy numbers for critical value to test the process capability. In this article, we use Buckley's approach (2003 Buckley , J. J. ( 2003 ). Fuzzy Probabilities: New Approach and Application . Heidelberg : Physica-Verlag .[Crossref] , [Google Scholar]) to construct the triangular fuzzy numbers for C pl and C pu , especially, the triangular fuzzy numbers for critical values are derived to execute the fuzzy hypothesis testing for C pl and C pu . Some numerical examples are taken to illustrate the proposed methodology. |
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Keywords: | Fuzzy estimation Fuzzy hypothesis testing Process capability Triangular fuzzy numbers |
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