Process capability analysis using interval type-2 fuzzy sets

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Abstract

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.

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Parchami, A., Onar, S. Ç., Öztayşi, B., & Kahraman, C. (2017). Process capability analysis using interval type-2 fuzzy sets. International Journal of Computational Intelligence Systems, 10(1), 721–733. https://doi.org/10.2991/ijcis.2017.10.1.48

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