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Fuzzy Tolerance Region and Process Capability Analysis

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Fuzzy Engineering and Operations Research

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 147))

Abstract

Process capability analysis is designed to estimate the proportion of parts that do not meet engineering requirements in a stable production process. When the quality of products is related to two or more variables, the analysis should be based on a multivariate statistical technique. In this paper, we review and criticize the capability indices typically used in industry for this purpose, and propose a general multivariate process capability index based on fuzzy tolerance region which has not the restriction of conventional process capability indices. We further derive its analytical expression under standard assumptions, discuss numerical approximations, and compare three traditional process capability indices with the new index based on fuzzy approach.

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Author information

Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematical Science, University of Mazandaran, Postal Code 47416-95447, Babolsar, Iran

    Bahram Sadeghpour Gildeh & Vahab Moradi

Authors
  1. Bahram Sadeghpour Gildeh
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  2. Vahab Moradi
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Corresponding author

Correspondence to Bahram Sadeghpour Gildeh .

Editor information

Editors and Affiliations

  1. School of Mathematics and, Information Science, Guangzhou University, Wai Huan Xi Road, Guangdong, 510006, China, People's Republic

    Bing-Yuan Cao

  2. , School of Science, Southwest Petroleum University, Xindu Avenue 8#, Chengdu, 610500, China, People's Republic

    Xiang-Jun Xie

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© 2012 Springer-Verlag Berlin Heidelberg

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Gildeh, B.S., Moradi, V. (2012). Fuzzy Tolerance Region and Process Capability Analysis. In: Cao, BY., Xie, XJ. (eds) Fuzzy Engineering and Operations Research. Advances in Intelligent and Soft Computing, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28592-9_19

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  • DOI: https://doi.org/10.1007/978-3-642-28592-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28591-2

  • Online ISBN: 978-3-642-28592-9

  • eBook Packages: EngineeringEngineering (R0)

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