## 3 Results  
### Composite Fuzzy Relation  
A medical diagnosis was made through composite fuzzy relations. Applying Equations (14) and (15) for composite fuzzy relation 1 and Equations (16) and (17) for composite fuzzy relation 2, in Tables 1 and 2, a table of membership and non-membership degrees is detailed. By using relation value (Equation (18) or Equation (19)) or score and accuracy (Equations (20) and (21)), the final table of decision was calculated. Tables 4-7 show the results using composite fuzzy relation 1 and Tables 8-11 show the results using composite fuzzy relation 2. Composite Fuzzy Relation 1 \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Patient\textbackslash{} Disease** & **Viral** & **Malaria** & **Typhoid** & **Stomach** & **Chest** \\
**Fever** & **Fever** & **Fever** & **Fever** & **Problems** & **Problems** \\ \hline P1 & 0.2971 & **0.5995** & 0.4989 & \(-\)0.2019 & \(-\)0.4005 \\ P2 & \(-\)0.2005 & \(-\)0.4005 & \(-\)0.0005 & **0.4989** & \(-\)0.6000 \\ P3 & 0.2971 & **0.5995** & 0.4989 & \(-\)0.2019 & \(-\)0.3011 \\ P4 & 0.2971 & **0.5995** & 0.1995 & \(-\)0.1011 & \(-\)0.1011 \\ \hline \hline \end{tabular} Patient P1 suffered from malaria fever with relation value (0.5995); patient P2 suffered from stomach problems with relation value (0.4989); patient P3 suffered from malaria fever with relation value (0.5995); patient P4 suffered from malaria fever with relation value (0.5995).  
\end{table} 
Table 6: Final decision with RV2. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Patient\textbackslash{} Disease** & **Viral** & **Malaria** & **Typhoid** & **Stomach** & **Chest** \\
**Fever** & **Fever** & **Fever** & **Problems** & **Problems** \\ \hline P1 & \(\langle 0.6,\,0.05\rangle\) & \(\langle 0.65,\,0.05\rangle\) & \(\langle 0.25,\,0.55\rangle\) & \(\langle 0.35,\,0.4\rangle\) & \(\langle 0.1,\,0.7\rangle\) \\ P2 & \(\langle 0.15,\,0.65\rangle\) & \(\langle 0.3,\,0.5\rangle\) & \(\langle 0.6,\,0.1\rangle\) & \(\langle 0.15,\,0.55\rangle\) & \(\langle 0.05,\,0.8\rangle\) \\ P3 & \(\langle 0.45,\,0.4\rangle\) & \(\langle 0.4,\,0.5\rangle\) & \(\langle 0.1,\,0.65\rangle\) & \(\langle 0.5,\,0.35\rangle\) & \(\langle 0.1,\,0.65\rangle\) \\ P4 & \(\langle 0.5,\,0.2\rangle\) & \(\langle 0.6,\,0.2\rangle\) & \(\langle 0.25,\,0.5\rangle\) & \(\langle 0.45,\,0.45\rangle\) & \(\langle 0.25,\,0.6\rangle\) \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Membership and Non-membership degrees. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Patient\textbackslash{} Disease** & **Viral** & **Malaria** & **Typhoid** & **Stomach** & **Chest** \\
**Fever** & **Fever** & **Fever** & **Problems** & **Problems** \\ \hline P1 & 0.5485 & **0.5989** & \(-\)0.3005 & \(-\)0.0508 & \(-\)0.6005 \\ P2 & \(-\)0.5005 & \(-\)0.2005 & **0.4989** & \(-\)0.4011 & \(-\)0.7503 \\ P3 & 0.0497 & \(-\)0.1001 & \(-\)0.5508 & **0.1497** & \(-\)0.5508 \\ P4 & 0.2989 & **0.3995** & \(-\)0.2508 & \(-\)0.0001 & \(-\)0.3503 \\ \hline \hline \end{tabular} Patient P1 suffered from malaria fever with relation value (0.5485); patient P2 suffered from typhoid fever with relation value (0.4989); patient P3 suffered from malaria fever with relation value (0.5995).  
\end{table} 
Table 10: Final decision with RV2. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Patient\textbackslash{} Disease** & **Viral** & **Malaria** & **Typhoid** & **Stomach** & **Chest** \\
**Fever** & **Fever** & **Fever** & **Problems** & **Problems** \\ \hline P1 & 0.5825 & **0.6350** & 0.1400 & 0.2500 & \(-\)0.0400 \\ P2 & 0.0200 & 0.2000 & **0.5700** & \(-\)0.0150 & \(-\)0.0700 \\ P3 & 0.3900 & 0.3500 & \(-\)0.0625 & **0.4475** & \(-\)0.0625 \\ P4 & 0.4400 & **0.5600** & 0.1250 & 0.4050 & 0.1600 \\ \hline \hline \end{tabular} Patient P1 suffered from malaria fever with relation value (0.6350); patient P2 suffered from typhoid fever with relation value (0.5700); patient P3 suffered from stomach problems with relation value (0.4475); patient P4 suffered from malaria fever with relation value (0.5600).  
\end{table}