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A process capability index for normal random variable with intuitionistic fuzzy information

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Abstract

In this study, a process control criterion was extended based on intuitionistic fuzzy information in cases where the underlying population is normal with intuitionistic fuzzy mean and exact variance. The proposed process control criterion was constructed based on the arithmetic operations and a common distance measure in the space of intuitionistic fuzzy numbers. For this purpose, one of the most popular process capability indices and its corresponding estimator were extended based on intuitionistic fuzzy specific limits and intuitionistic fuzzy target when the intuitionistic fuzzy mean and/or variance are unknown. A criterion was also proposed to investigate the level of process condition. The effectiveness of the proposed method was also examined by a practical example.

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Authors and Affiliations

  1. Department of Statistics, Payame Noor University, Tehran, 19395-3697, Iran

    Gholamreza Hesamian

  2. Department of Statistics, University of Birjand, Birjand, 615-97175, Iran

    Mohamad Ghasem Akbari

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  1. Gholamreza Hesamian
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  2. Mohamad Ghasem Akbari
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Correspondence to Gholamreza Hesamian.

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Hesamian, G., Akbari, M.G. A process capability index for normal random variable with intuitionistic fuzzy information. Oper Res Int J 21, 951–964 (2021). https://doi.org/10.1007/s12351-019-00490-4

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  • DOI: https://doi.org/10.1007/s12351-019-00490-4

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