Process capability analysis using interval type-2 fuzzy sets

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14 Citations (Scopus)


In some cases, the specification limits of a quality characteristic should be defined under uncertain information. In the literature, process capability analyses have been handled by using type-1 fuzzy sets under fuzziness up to now. In this paper, we develop the concept of type-2 fuzzy quality and use it in the calculation of process capability. Lower and upper specification limits are considered as type-2 fuzzy sets. We define the addition and subtraction operations for introducing interval type-2 fuzzy process capability indices. We can calculate the nonconforming percentage of the production using the developed equations. We present some numerical examples to show the applicability of the proposed equations.

Original languageEnglish
Pages (from-to)721-733
Number of pages13
JournalInternational Journal of Computational Intelligence Systems
Issue number1
Publication statusPublished - Jan 2017

Bibliographical note

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© 2017, the Authors.


  • Fuzzy quality
  • Interval type-2 fuzzy sets
  • Process capability
  • Specification limits


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