Research Article
A Novel Robust Fuzzy Rough Set Model for Feature Selection
Table 3
Comparison of classification performance of different FRS models on CART in original and noisy data.
| Datasets | Noise level (%) | FRS | β-PFRS | K-trimmed FRS | K-means FRS | K-median FRS | SFRS | RS-FRS |
| Glass | 0 | 0.478 ± 0.031 | 0.436 ± 0.027 | 0.454 ± 0.039 | 0.458 ± 0.045 | 0.455 ± 0.025 | 0.478 ± 0.031 | 0.478 ± 0.031 | 5 | 0.430 ± 0.025 | 0.434 ± 0.026 | 0.433 ± 0.010 | 0.436 ± 0.004 | 0.434 ± 0.049 | 0.463 ± 0.069 | 0.465 ± 0.060 | 10 | 0.429 ± 0.069 | 0.431 ± 0.014 | 0.432 ± 0.025 | 0.431 ± 0.051 | 0.430 ± 0.052 | 0.454 ± 0.010 | 0.460 ± 0.025 |
| Wine | 0 | 0.909 ± 0.068 | 0.909 ± 0.068 | 0.908 ± 0.081 | 0.908 ± 0.081 | 0.908 ± 0.081 | 0.908 ± 0.081 | 0.909 ± 0.068 | 5 | 0.859 ± 0.059 | 0.903 ± 0.092 | 0.901 ± 0.026 | 0.860 ± 0.075 | 0.899 ± 0.064 | 0.902 ± 0.072 | 0.903 ± 0.083 | 10 | 0.819 ± 0.076 | 0.857 ± 0.037 | 0.897 ± 0.087 | 0.859 ± 0.041 | 0.893 ± 0.056 | 0.896 ± 0.054 | 0.902 ± 0.107 |
| Heart | 0 | 0.707 ± 0.019 | 0.759 ± 0.099 | 0.752 ± 0.089 | 0.707 ± 0.019 | 0.707 ± 0.019 | 0.707 ± 0.124 | 0.752 ± 0.052 | 5 | 0.694 ± 0.054 | 0.737 ± 0.091 | 0.707 ± 0.019 | 0.702 ± 0.047 | 0.704 ± 0.010 | 0.705 ± 0.055 | 0.750 ± 0.049 | 10 | 0.659 ± 0.045 | 0.728 ± 0.043 | 0.693 ± 0.011 | 0.682 ± 0.044 | 0.693 ± 0.031 | 0.704 ± 0.023 | 0.748 ± 0.076 |
| Segment | 0 | 0.947 ± 0.029 | 0.946 ± 0.039 | 0.945 ± 0.035 | 0.945 ± 0.035 | 0.945 ± 0.035 | 0.947 ± 0.029 | 0.947 ± 0.029 | 5 | 0.941 ± 0.031 | 0.953 ± 0.027 | 0.942 ± 0.041 | 0.943 ± 0.034 | 0.942 ± 0.027 | 0.945 ± 0.083 | 0.946 ± 0.082 | 10 | 0.938 ± 0.036 | 0.938 ± 0.030 | 0.940 ± 0.032 | 0.941 ± 0.035 | 0.941 ± 0.038 | 0.942 ± 0.064 | 0.944 ± 0.033 |
| Hepatitis | 0 | 0.800 ± 0.063 | 0.800 ± 0.063 | 0.800 ± 0.063 | 0.800 ± 0.063 | 0.800 ± 0.063 | 0.800 ± 0.063 | 0.800 ± 0.063 | 5 | 0.762 ± 0.093 | 0.761 ± 0.103 | 0.770 ± 0.130 | 0.753 ± 0.081 | 0.755 ± 0.101 | 0.796 ± 0.039 | 0.798 ± 0.080 | 10 | 0.723 ± 0.126 | 0.752 ± 0.079 | 0.732 ± 0.021 | 0.751 ± 0.104 | 0.728 ± 0.120 | 0.781 ± 0.041 | 0.790 ± 0.105 |
| ICU | 0 | 0.799 ± 0.085 | 0.783 ± 0.036 | 0.783 ± 0.036 | 0.783 ± 0.036 | 0.783 ± 0.036 | 0.799 ± 0.085 | 0.799 ± 0.085 | 5 | 0.760 ± 0.062 | 0.764 ± 0.024 | 0.763 ± 0.022 | 0.773 ± 0.045 | 0.761 ± 0.019 | 0.762 ± 0.077 | 0.786 ± 0.091 | 10 | 0.751 ± 0.013 | 0.755 ± 0.088 | 0.754 ± 0.096 | 0.755 ± 0.019 | 0.754 ± 0.049 | 0.752 ± 0.082 | 0.761 ± 0.114 |
| German | 0 | 0.716 ± 0.037 | 0.704 ± 0.035 | 0.713 ± 0.045 | 0.713 ± 0.032 | 0.713 ± 0.032 | 0.712 ± 0.046 | 0.716 ± 0.037 | 5 | 0.716 ± 0.053 | 0.700 ± 0.031 | 0.711 ± 0.039 | 0.712 ± 0.034 | 0.710 ± 0.038 | 0.710 ± 0.071 | 0.713 ± 0.064 | 10 | 0.707 ± 0.033 | 0.700 ± 0.061 | 0.709 ± 0.031 | 0.708 ± 0.042 | 0.709 ± 0.032 | 0.710 ± 0.079 | 0.709 ± 0.088 |
| Soy | 0 | 0.915 ± 0.111 | 0.915 ± 0.111 | 0.915 ± 0.111 | 0.915 ± 0.111 | 0.915 ± 0.111 | 0.915 ± 0.111 | 0.915 ± 0.111 | 5 | 0.810 ± 0.067 | 0.883 ± 0.077 | 0.879 ± 0.004 | 0.891 ± 0.067 | 0.878 ± 0.058 | 0.894 ± 0.068 | 0.893 ± 0.108 | 10 | 0.790 ± 0.039 | 0.810 ± 0.051 | 0.806 ± 0.058 | 0.808 ± 0.013 | 0.806 ± 0.025 | 0.821 ± 0.022 | 0.825 ± 0.024 |
| Horse | 0 | 0.855 ± 0.046 | 0.862 ± 0.049 | 0.857 ± 0.050 | 0.854 ± 0.047 | 0.857 ± 0.050 | 0.856 ± 0.052 | 0.855 ± 0.046 | 5 | 0.846 ± 0.067 | 0.860 ± 0.053 | 0.854 ± 0.060 | 0.853 ± 0.050 | 0.852 ± 0.047 | 0.855 ± 0.013 | 0.855 ± 0.103 | 10 | 0.841 ± 0.047 | 0.848 ± 0.055 | 0.848 ± 0.038 | 0.851 ± 0.033 | 0.853 ± 0.040 | 0.853 ± 0.051 | 0.854 ± 0.027 |
| WDBC | 0 | 0.907 ± 0.037 | 0.931 ± 0.046 | 0.907 ± 0.042 | 0.926 ± 0.044 | 0.916 ± 0.038 | 0.907 ± 0.037 | 0.928 ± 0.029 | 5 | 0.903 ± 0.084 | 0.924 ± 0.031 | 0.903 ± 0.041 | 0.909 ± 0.033 | 0.914 ± 0.034 | 0.905 ± 0.102 | 0.927 ± 0.057 | 10 | 0.895 ± 0.058 | 0.923 ± 0.022 | 0.905 ± 0.045 | 0.907 ± 0.032 | 0.896 ± 0.036 | 0.904 ± 0.046 | 0.924 ± 0.037 |
| WPBC | 0 | 0.660 ± 0.115 | 0.703 ± 0.128 | 0.645 ± 0.109 | 0.660 ± 0.134 | 0.634 ± 0.159 | 0.666 ± 0.090 | 0.660 ± 0.092 | 5 | 0.630 ± 0.118 | 0.702 ± 0.112 | 0.640 ± 0.105 | 0.656 ± 0.153 | 0.631 ± 0.109 | 0.666 ± 0.086 | 0.659 ± 0.067 | 10 | 0.620 ± 0.110 | 0.659 ± 0.104 | 0.629 ± 0.150 | 0.640 ± 0.135 | 0.629 ± 0.139 | 0.664 ± 0.053 | 0.659 ± 0.035 |
| Sonar | 0 | 0.668 ± 0.065 | 0.686 ± 0.122 | 0.688 ± 0.115 | 0.659 ± 0.066 | 0.659 ± 0.066 | 0.686 ± 0.065 | 0.668 ± 0.081 | 5 | 0.645 ± 0.035 | 0.678 ± 0.099 | 0.654 ± 0.115 | 0.644 ± 0.035 | 0.643 ± 0.047 | 0.659 ± 0.012 | 0.666 ± 0.109 | 10 | 0.634 ± 0.105 | 0.659 ± 0.106 | 0.647 ± 0.110 | 0.638 ± 0.088 | 0.636 ± 0.095 | 0.658 ± 0.025 | 0.665 ± 0.053 |
| Average | | 0.755 ± 0.061 | 0.772 ± 0.063 | 0.764 ± 0.060 | 0.762 ± 0.056 | 0.761 ± 0.056 | 0.772 ± 0.059 | 0.779 ± 0.067 |
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