## 2 Dataset and Method for Fuzzy Inference System
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**SNo** & **Layer** & \begin{tabular}{c} **Output** \\ **Variables** \\ \end{tabular} & \
\begin{tabular}{c} **Linguistic** \\ **Variables** \\ \end{tabular} & **Mean** &
\begin{tabular}{c} **Standard** \\ **Deviation (\(\sigma\))** \\ \end{tabular} & **Frequency** \\ \hline
1. & Layer 1 & Renal Cancer & \begin{tabular}{c} Cancer \\ Present \\ No Cancer \\ \end{tabular} & 5.86 & 0.32 & 74 \\ \
\begin{tabular}{c} 1. \\ \end{tabular} &
\begin{tabular}{c} 1. \\ \end{tabular} & 12 & 1.52 & 126 \\ \hline
2. & Layer 2 & Cancer Stage & Minor & 2.07 & 0.21 & 68 \\  & & Moderate & 5.10 & 0.79 & 85 \\  & & Serious & 8.04 & 0.73 & 22 \\  & & Critical & 8.67 & 0.11 & 25 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Parameters of outputs. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**SNo** & **Input Variables** & \
\begin{tabular}{c} **Linguistic** \\ **Variables** \\ \end{tabular} & **Mean** &
\begin{tabular}{c} **Standard** \\ **Deviation (\(\sigma\))** \\ \end{tabular} & **Frequency (f)** \\ \hline
1. & Haematuria & 1+ & 12 & 6.81 & 65 \\  & & 2+ & 41.70 & 6.15 & 72 \\  & & 3+ & 64.17 & 10.26 & 38 \\  & & 4+ & 137.53 & 59.17 & 25 \\ \hline
2. & Red blood cell count & Low & 0.25 & 0.07 & 81 \\  & & Normal & 0.45 & 0.07 & 64 \\  & & High & 0.65 & 0.13 & 55 \\ \hline
3. & Flank Pain & Low & 0.22 & 0.07 & 96 \\  & & Medium & 0.40 & 0.09 & 89 \\  & & High & 0.76 & 0.08 & 15 \\ \hline
4. & Tumor Size & Smaller & 5.50 & 1.57 & 162 \\  & & Larger & 8.24 & 0.71 & 38 \\ \hline
5. &
\begin{tabular}{c} Von Hippel-Lindau \\ syndrome \\ \end{tabular} & No & 0.30 & 0.05 & 147 \\  & & Yes & 0.60 & 0.12 & 53 \\ \hline
6. & High Blood Pressure & Normal & 73.34 & 4.78 & 75 \\  & & High & 92.88 & 15.09 & 125 \\ \hline
7. &
\begin{tabular}{c} Trichloroethylene \\ Exposure \\ \end{tabular} & Low & 2.554 & 0.39 & 10 \\  & & Moderate & 4.01 & 0.82 & 97 \\  & & High & 7.71 & 1.07 & 93 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Parameter of layer 1. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**SNo** & **Input Variables** & \
\begin{tabular}{c} **Linguistic** \\ **Variables** \\ \end{tabular} & **Mean** &
\begin{tabular}{c} **Standard** \\ **Deviation (\(\sigma\))** \\ \end{tabular} & **Frequency (f)** \\ \hline
1. & Smoking & Acute & 2.43 & 1.07 & 115 \\  & & Moderate & 4.88 & 0.60 & 67 \\  & & Chronic & 7.44 & 1.28 & 18 \\ \hline
2. & Dialysis & No & 2.17 & 1.02 & 144 \\  & & Yes & 7.40 & 1.41 & 56 \\ \hline
3. & Occupational Exposure & Little Bit & 2.58 & 1.22 & 147 \\  & & Excessive & 7.56 & 1.50 & 53 \\ \hline
4. & Genetic or hereditary & Low & 2.45 & 1.36 & 102 \\  & & Moderate & 5.19 & 0.50 & 44 \\  & & High & 8.33 & 0.78 & 54 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Parameters of Layer 2. The statistical values used for output variables as well as input variables for both layers can be represented in a mathematical function. The mathematical function of smoking is as shown as follows:  
\[\mu_{acute}(x) =e^{\frac{-(x-4)^{2}}{4S}}\] \[\mu_{moderate}(x) =e^{\frac{-(x-4.47)^{2}}{4S}}\] \[\mu_{chronic}(x) =e^{\frac{-(x-1)^{2}}{4S}}\]