Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-28T18:03:18.839Z Has data issue: false hasContentIssue false

Inertial capability index based on fuzzy data

Published online by Cambridge University Press:  29 June 2011

Get access

Abstract

Process performance can be analyzed by using process capability indices (PCIs), which are summary statistics to depict the process location and dispersion successfully. In some cases, quality characteristic and target are not precise numbers and they are expressed in fuzzy terms, so that the classical capability indices cannot be applied. In this paper we obtain a confidence interval for inertial capability index Cpi (defined by [Pillet, TQM Mag. 16, 202–209 (2004)]) based on fuzzy data and propose a membership function for it.

Type
Research Article
Copyright
© EDP Sciences 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Pillet, M., Inertial tolerancing, TQM Mag. 16, 202209 (2004) CrossRefGoogle Scholar
Chen, C.C., Lai, C.M., Nien, H.Y., Measuring process capability index Cpm with fuzzy data, Qual. Quant. 44, 529-535 (2010) CrossRefGoogle Scholar
Patnaik, P.B., The non-centralχ 2 and F-distributions and their applications, Biometrika 36, 202232 (1949) Google ScholarPubMed
Parchami, A., Mashinchi, M., Maleki, H.R., Fuzzy confidence interval for fuzzy process capability index, J. Intell. & Fuzzy Syst. 17, 287295 (2006) Google Scholar
B.S. Gildeh, D. Gien, D p,q - distance and the correlation coeficient between two fuzzy random variables, Rencontres francophones sur la logique floue et ses applications (Mons, Belgique 2001), pp. 97–101
Adragna, P.A., Samper, S., Pillet, M., A proposition of 3D inertial tolerancing to consider the statistical combination of the location and orientation deviations, Int. J. Product Development, IJPD 10, 2645 (2010) CrossRefGoogle Scholar
N.N. Vakhania, Probability distribution on linear space (Elsevier science publishes, B.V. North holland, 1981)
Shu, M.H., Wu, H.C., Quality-based supplier selection and evaluation using fuzzy data, Comput. Ind. Eng. 57, 10721079 (2009) CrossRefGoogle Scholar
Adragna, P.A., Pillet, M., Formosa, F., Samper, S., Inertial tolerancing and capability indices in an assembly production, Revue Internationale d’Ingénierie Numérique 2, 7188 (2006) Google Scholar
Perakis, M., Xekalaki, E., A new method for constructing Confidence intervals for the index Cpm, Qual. Reab. Eng. Int. 20, 651665 (2004) CrossRefGoogle Scholar