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m →The construction of the external distribution(''r<sub>external</sub>'') and the RFV: HTTP → HTTPS for IEEE Xplore, replaced: http://ieeexplore.ieee.org/document/ → https://ieeexplore.ieee.org/document/ |
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===The construction of the external distribution(''r<sub>external</sub>'') and the RFV===
After modeling the random and internal possibility distribution, the external membership function, '''''r<sub>external</sub>''''', of the RFV can be constructed by using the following equation:<ref>{{Cite journal|last=Ferrero|first=Alessandro|last2=Prioli|first2=Marco|last3=Salicone|first3=Simona|date=2015|title=Uncertainty propagation through non-linear measurement functions by means of joint Random-Fuzzy Variables|url=
<center> <math>r_{\textit{external}}(x)=\sup_{x^\prime}T_{min}[r_{\textit{random}}(x-x^\prime+x^{*}), r_{\textit{internal}}(x^\prime)] </math></center>
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