Table 1 Computational results of the proposed and extant distance measures (Bold and highlighted cell shows unreasonable results and “NaN” represents division by zero problems).
S T | Case-1 {(e1,0.3,0.3)} {(e1,0.4,0.4)} | Case-2 {(e1, 0.3, 0.4)} {(e1, 0.4, 0.3)} | Case-3 {(e1, 1, 0)} {(e1, 0, 0)} | Case-4 {(e1, 0.5, 0.5)} {(e1, 0, 0)} | Case-5 {(e1,0.4,0.2)} {(e1,0.5,0.3)} | Case-6 {(e1,0.4,0.2)} {(e1,0.5,0.2)} |
|---|---|---|---|---|---|---|
d (S, T) | 0.018 | 0.038 | 0.5 | 0.062 | 0.04 | 0.031 |
dA1 (S, T) | 0.074 | 0.037 | 1 | 0.25 | 0.08 | 0.061 |
dA2 (S, T) | 0 | 0.037 | 0.5 | 0 | 0.021 | 0.03 |
dA3 (S, T) | 0.037 | 0.037 | 0.75 | 0.125 | 0.05 | 0.046 |
dA4 (S, T) | 0.037 | 0.037 | 1 | 0.125 | 0.061 | 0.061 |
dA5 (S, T) | 0.929 | 0.929 | 0 | 0.778 | 0.885 | 0.885 |
dA6 (S, T) | 0.578 | 0.578 | NaN | 1 | 0.617 | 0.195 |
dA7 (S, T) | 0.578 | 0.578 | 1 | 1 | 0.526 | 0.459 |
dG1 (S, T) | 0.071 | 0.071 | 1 | 0.222 | 0.078 | 0.061 |
dG2 (S, T) | 0.073 | 0.073 | 1 | 0.234 | 0.079 | 0.061 |
dG3 (S, T) | 0.074 | 0.074 | 1 | 0.25 | 0.08 | 0.061 |
dG4 (S, T) | 0.074 | 0.074 | 1 | 0.246 | 0.08 | 0.061 |
dk (S, T) | 0.315 | 0.305 | 0.854 | 0.389 | 0.325 | 0.316 |
