## 6 Comparative Analysis
### Comparison with FRs, CFRs, IVFRs and IVCFRs  
The leading limitation of FR, CFR, IVFRs and IVCFR as compared to IVCIFRs is that these notions discuss the degrees of membership only and do not talk about the degrees of non-membership, while an IVCIFR argues about both of the degrees. Thus, an IVCIFR has the power to analyze both the strength and the weakness of any relationship.  
Moreover, the complex structure of IVCIFRs can model multivariable problems, whereas the frameworks of FRs and IFRs are unable to model such problems. As an IVCFR is the greatest structure among the aforementioned contestants, so a detailed comparison between IVCIFRs and IVCFRs is given below.  
We investigate the problem discussed in Section 5.3 by using IVCFRs and thinking of the following two IVCFSs \(\hat{\text{F}}\) and \(\hat{\text{F}}\) representing the set of securities and the set of sources of threats, respectively. In order to minimize the amount of calculation and to conclude the comparative analysis, some of the securities and the sources of threats are omitted.  
\[\hat{\text{F}}=\left\{\begin{array}{l}\left(DD,[0.550,0.600]e^{i 16(0.500,0.750]\pi}\right),\left(PP,[0.475,0.525]e^{i16(0.375,0.438]\pi}\right) \\ \left(STEM,[0.300,0.375]e^{i16(0.563,0.613]\pi}\right)\end{array}\right\}\]  
\[\hat{\text{F}}=\left\{\begin{array}{l}\left(USB,[0.375,0.450]e^{i16(0.250,0. 375]\pi}\right),\left(R,A,\ [0.350,0.400]e^{i16(0.375,0.438]\pi}\right),\\ \left(IC,[0.475,0.575]e^{i16(0.500,0.613]\pi}\right),\left(OC,[0.500,0.550]e^{ i16(0.375,0.500]\pi}\right)\end{array}\right\}\]  
Table 4 contains the details of abbreviations used in the above sets.  
\begin{table}
\begin{tabular}{c c} \hline \hline
**Abbreviations** & **Full Names** \\ \hline \(DD\) & Default-Deny as a standard policy \\ \(PP\) & Proactive Protection \\ \(SIEM\) & Integration with SIEM \\ \(USB\) & USB Ports \\ \(RA\) & Remote Access \\ \(IC\) & Internet Connections \\ \(OC\) & Outside Contractors \\ \hline \hline \end{tabular}
\end{table}
Table 4: Abbreviations.  
The IVCFR \(\bar{\mathbb{R}}\) between \(\bar{\mathbb{F}}\) and \(\bar{\mathbb{F}}\) is  
\[\bar{\mathbb{R}}=\left\{\begin{array}{c}\left((DD,USB),[0.375,0.450]e^{i16[0. 250,0.375]\pi}\right),\\ \left((DD,RA),[0.350,0.400]e^{i16[0.375,0.438]\pi}\right),\\ \left((DD,IC),[0.475,0.575]e^{i16[0.500,0.613]\pi}\right),\\ \left((DD,OC),[0.500,0.550]e^{i16[0.375,0.500]\pi}\right),\\ \left((PP,USB),[0.375,0.450]e^{i16[0.250,0.375]\pi}\right),\\ \left((PP,RA),[0.350,0.400]e^{i16[0.375,0.438]\pi}\right),\\ \left((PP,IC),[0.475,0.525]e^{i16[0.375,0.438]\pi}\right),\\ \left((PP,OC),[0.475,0.525]e^{i16[0.375,0.438]\pi}\right),\\ \left((STEM,USB),[0.300,0.375]e^{i16[0.250,0.375]\pi}\right),\\ \left((STEM,RA),[0.300,0.375]e^{i16[0.375,0.438]\pi}\right),\\ \left((STEM,IC),[0.300,0.375]e^{i16[0.500,0.613]\pi}\right),\\ \left((STEM,OC),[0.300,0.375]e^{i16[0.375,0.500]\pi}\right)\end{array}\right\}\]  
It can be seen that the above IVCFR \(\bar{\mathbb{R}}\) only gives the information for the degree of membership. That is, it only gives the effectiveness of a cybersecurity technique against a source of penetration and fails to reveal the ineffectiveness of these securities versus the source of penetration's relations because the structure of an IVCFR does not have any degree of non-membership. Hence, these structures have certain limitations and, thus, they give limited information.