A new generation of process capability indices

In quality control, we may confront imprecise concepts. One case is a situation in which upper and lower specification limits (SLs) are imprecise. If we introduce vagueness into SLs, we face quite new, reasonable and interesting processes, and the ordinary capability indices are not appropriate for...

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Bibliographic Details
Published in:Journal of applied statistics 2010-01, Vol.37 (1), p.77-89
Main Authors: Parchami, A., Mashinchi, M.
Format: Article
Language:English
Subjects:
Fuzzy logic
fuzzy quality
fuzzy statistics
Indexes
process capability index
Quality control
specification limits
Statistical analysis
Statistics
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Summary:In quality control, we may confront imprecise concepts. One case is a situation in which upper and lower specification limits (SLs) are imprecise. If we introduce vagueness into SLs, we face quite new, reasonable and interesting processes, and the ordinary capability indices are not appropriate for measuring the capability of these processes. In this paper, similar to the traditional process capability indices (PCIs), we develop a fuzzy analogue by a distance defined on a fuzzy limit space and introduce PCIs, where instead of precise SLs we have two membership functions for upper and lower SLs. These indices are necessary when SLs are fuzzy, and they are helpful for comparing manufacturing process with fuzzy SLs. Some interesting relations among these introduced indices are proved. Numerical examples are given to clarify the method.
ISSN:0266-4763
1360-0532
DOI:10.1080/02664760802695785