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

Gholamreza Hesamian () and Mohamad Ghasem Akbari ()
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Gholamreza Hesamian: Payame Noor University
Mohamad Ghasem Akbari: University of Birjand

Operational Research, 2021, vol. 21, issue 2, No 7, 964 pages

Abstract: 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.

Keywords: Intuitionistic fuzzy specification limits; Intuitionistic fuzzy mean; Intuitionistic fuzzy target; Distance between intuitionistic fuzzy sets; Degree of belonging (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s12351-019-00490-4

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