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Fuzzy process capability indices based on imprecise observations induced from non-normal distributions

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This study has developed an approach to statistical process control indices for imprecise observations induced from an arbitrary population. For this purpose, most popular non-normal process capability index was extended… Click to show full abstract

This study has developed an approach to statistical process control indices for imprecise observations induced from an arbitrary population. For this purpose, most popular non-normal process capability index was extended based on a proposed triangular fuzzy distance between fuzzy numbers. The specific limits and targets are also considered as fuzzy numbers in this method. The order between the proposed fuzzy process capability indices was also investigated. A degree of belonging was proposed to verify the degree of process conditions of the proposed fuzzy process capability indices. The feasibility and effectiveness of the proposed method were also examined using a simulation study.

Keywords: capability indices; fuzzy process; imprecise observations; process; process capability

Journal Title: Computational and Applied Mathematics
Year Published: 2018

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