Advanced Mathematics and Numerical Modeling of IoT

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TRPN

(a) The risk factor푆

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UUU UUN UNU UNN NUU NUN NNU NNN

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(b) The risk factor푂

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UUU UUN UNU UNN NUU NUN NNU NNN

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(c) The risk factor퐷

Figure 3: Distribution sketch with respect to risk factors and risk weights.

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UUU UUN UNU UNN NUU NUN NNU NNN

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TRPN

Figure 4:푅^2 comparison of eight distributions with respect to
several risk weights.

function are larger than that of GRPN function in three

special cases of SOD distribution, that is, UNN, NUN, and

NNU. The TRPN function is suitable for cases in which the

majority of the three risk factors are in normal distribu-

tion, whereas the GRPN function is suitable for the others.

In general, the proposed GRPN function offers a more

adaptive approach, which can be applied in industries with

various risk preferences.

5. Case Study

5.1. An Example of Down Syndrome Test.We use an exam-

pleofDownsyndrometest—ahealthcareapplication—

to explain the operation of the proposed GRPN model.

It is to identify significant achievement and its adapt-

ability compared with that of the TRPN model. In addi-

tion, we consider three scenarios to demonstrate the

adaptability of the proposed model. The steps are as

follows: