Comp. Appl. Math. https://doi.org/10.1007/s40314-018-0657-8 Fuzzy process capability indices based on imprecise observations induced from non-normal distributions 1 2 Gholamreza Hesamian · Mohammad Ghasem Akbari Received: 9 November 2017 / Revised: 22 May 2018 / Accepted: 29 May 2018 © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 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 Fuzzy speciﬁcation limits · Fuzzy percentile · Fuzzy target · Triangular fuzzy distance · Degree of belonging Mathematics Subject Classiﬁcation 03E72 · 62A86 · 93C42 1 Introduction Process capability is the repeatability and consistency of a manufacturing process relative to the customer requirements, in terms of the
Computational and Applied Mathematics – Springer Journals
Published: Jun 5, 2018
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