Table 2.
Comparison between the developed bEHHO and other binary meta-heuristic algorithms on average fitness values.
| Dataset | Metric | bEHHO | bPSO | bBA | bSSA | bWOA | bSMA | bHHO |
|---|---|---|---|---|---|---|---|---|
| Australian | Avg | 9.7585E−02 | 1.0257E−01 | 1.4246E−01 | 1.0752E−01 | 1.0515E−01 | 1.0827E−01 | 1.0577E−01 |
| Std | 3.0484E−02 | 2.7547E−02 | 2.5905E−02 | 1.7704E−02 | 1.6514E−02 | 1.9314E−02 | 2.6000E−02 | |
| blood | Avg | 6.2500E−03 | 7.1023E−03 | 4.7565E−02 | 8.2386E−03 | 8.5227E−03 | 1.1648E−02 | 7.6705E−03 |
| Std | 5.5338E−03 | 4.2843E−03 | 6.2941E−02 | 6.4211E−03 | 1.6071E−03 | 2.2523E−−03 | 5.4244E−03 | |
| Brain_Tumor1 | Avg | 4.5855E−02 | 7.3951E−02 | 1.0087E−01 | 6.1337E−02 | 7.8288E−02 | 6.5463E−02 | 6.1516E−02 |
| Std | 6.6811E−02 | 6.9885E−02 | 6.2155E−02 | 5.6040E−02 | 5.4523E−02 | 5.3100E−02 | 5.1299E−02 | |
| Brain_Tumor2 | Avg | 9.6672E−02 | 1.4479E−01 | 1.0252E−01 | 1.3076E−01 | 1.3044E−01 | 7.5781E−02 | 9.6672E−02 |
| Std | 9.7414E−02 | 9.4463E−02 | 1.2496E−01 | 9.8261E−02 | 1.0213E−01 | 1.4158E−01 | 8.8423E−02 | |
| Breastcancer | Avg | 2.6457E−02 | 3.0819E−02 | 4.5088E−02 | 3.2732E−02 | 3.2563E−02 | 3.3817E−02 | 3.0936E−02 |
| Std | 9.5983E−03 | 1.8343E−−02 | 1.5741E−02 | 1.6129E−02 | 6.6384E−03 | 1.6487E−02 | 1.6988E−02 | |
| CNS | Avg | 8.9650E−02 | 1.3237E−01 | 2.0577E−01 | 1.2422E−01 | 1.1431E−01 | 1.0750E−01 | 1.2220E−01 |
| Std | 8.2063E−02 | 1.2957E−01 | 1.6377E−01 | 1.1169E−01 | 8.4105E−02 | 1.1483E−01 | 7.7362E−02 | |
| Congress | Avg | 2.2670E−02 | 2.5343E−02 | 4.0520E−02 | 2.9980E−02 | 2.7297E−02 | 3.0577E−02 | 2.3759E−02 |
| Std | 2.1543E−02 | 1.8567E−02 | 1.8227E−02 | 1.1569E−02 | 2.2028E−02 | 2.0530E−02 | 1.9739E−02 | |
| DLCBL | Avg | 6.2242E−03 | 3.6820E−02 | 5.7800E−02 | 2.0457E−02 | 2.5768E−02 | 3.5907E−02 | 1.8290E−02 |
| Std | 1.1271E−03 | 4.2972E−02 | 8.8813E−02 | 3.5972E−02 | 3.8475E−02 | 3.7499E−02 | 3.7113E−02 | |
| glass | Avg | 1.0954E−01 | 1.2505E−01 | 1.7949E−01 | 1.1728E−01 | 1.4524E−01 | 1.2021E−01 | 1.3146E−01 |
| Std | 6.2248E−02 | 4.9067E−02 | 5.7804E−02 | 5.0693E−02 | 5.0082E−02 | 5.1540E−02 | 5.2557E−02 | |
| Heart | Avg | 8.5641E−02 | 1.0279E−01 | 1.7745E−01 | 1.1758E−01 | 1.0202E−01 | 9.2621E−02 | 9.9274E−02 |
| Std | 4.4378E−02 | 4.4304E−02 | 4.0053E−02 | 1.8850E−02 | 3.0193E−02 | 4.5428E−02 | 3.0570E−02 | |
| hepatitisfulldata | Avg | 2.2253E−02 | 2.2649E−02 | 7.6516E−02 | 3.2930E−02 | 3.0692E−02 | 2.9376E−02 | 2.8717E−02 |
| Std | 1.9113E−02 | 2.2079E−02 | 3.3453E−02 | 2.3419E−02 | 2.6034E−02 | 2.2053E−02 | 2.5375E−02 | |
| Ionosphere | Avg | 2.0866E−02 | 2.6530E−02 | 7.0488E−02 | 3.5118E−02 | 3.3874E-02 | 3.8719E−02 | 3.1887E−02 |
| Std | 1.2822E−02 | 1.9478E−02 | 1.6041E−02 | 1.3229E−02 | 1.2704E−02 | 1.4975E−02 | 1.6200E−02 | |
| JPNdata | Avg | 2.4771E−02 | 5.1208E−02 | 1.0509E−01 | 4.0542E−02 | 3.5000E−02 | 3.3208E−02 | 5.2765E−02 |
| Std | 2.6084E−02 | 4.5137E−02 | 3.9127E−02 | 4.5743E−02 | 4.4375E−02 | 3.1234E−02 | 3.2475E−02 | |
| Leukemia | Avg | 6.9236E−03 | 2.3511E−02 | 1.7214E−02 | 1.0087E−02 | 1.5095E−02 | 2.4175E−02 | 7.1157E−−03 |
| Std | 2.4916E−−03 | 2.1302E−04 | 2.1385E−03 | 8.0844E−03 | 2.7639E−03 | 2.0171E−04 | 1.4686E−03 | |
| Leukemia1 | Avg | 7.3972E−03 | 2.3271E−02 | 3.2656E−02 | 7.9566E−03 | 1.4242E−02 | 2.4024E−02 | 7.6816E−03 |
| Std | 1.9700E−03 | 3.7594E−04 | 4.0773E−02 | 8.1800E−03 | 2.4269E−03 | 1.3090E−04 | 1.7517E−03 | |
| Leukemia2 | Avg | 5.8281E−03 | 3.5639E−02 | 4.3521E−02 | 8.4009E−03 | 2.7319E−02 | 3.7881E−02 | 6.8477E−03 |
| Std | 1.3690E−03 | 3.7610E−02 | 5.3762E−02 | 7.4337E−03 | 4.1967E−02 | 4.2908E−02 | 1.8683E−03 | |
| Lung_Cancer | Avg | 2.6674E−02 | 5.1853E−02 | 4.7733E−02 | 4.0110E−02 | 4.3534E−02 | 5.4129E−02 | 3.2199E−02 |
| Std | 2.2560E−02 | 3.2091E−02 | 2.5160E−02 | 2.9712E−02 | 4.1052E−02 | 5.0094E−02 | 3.2678E−02 | |
| lungcancer_3class | Avg | 8.3036E−03 | 1.1518E−02 | 1.3057E−01 | 3.6429E−02 | 7.1935E−02 | 4.0714E−02 | 8.6607E−03 |
| Std | 3.7658E−03 | 4.1974E−03 | 1.7946E−01 | 7.1953E−02 | 1.1721E−01 | 7.5136E−02 | 2.8871E−03 | |
| penglung | Avg | 6.3846E−03 | 4.1379E−02 | 6.2543E−02 | 1.0938E−02 | 6.0057E−02 | 4.5119E−02 | 3.5662E−02 |
| Std | 1.3019E−03 | 4.8806E−02 | 7.5764E−02 | 5.6169E−03 | 8.0063E−02 | 4.9652E−02 | 5.8529E−02 | |
| Prostate_Tumor | Avg | 5.4771E−02 | 7.1503E−02 | 1.4779E−01 | 7.2852E−02 | 6.4615E−02 | 7.1399E−02 | 5.9989E−02 |
| Std | 6.2381E-02 | 8.0624E−−02 | 1.1525E−01 | 6.7979E−02 | 6.8109E−02 | 4.9367E−02 | 4.3918E−02 | |
| Sonar | Avg | 1.7333E−02 | 2.2107E−02 | 6.5113E−02 | 4.0571E−02 | 2.6440E−02 | 2.9425E−02 | 2.4750E−02 |
| Std | 4.9348E−03 | 1.6912E−02 | 2.1789E−02 | 2.3100E−02 | 1.3662E−02 | 1.8329E−02 | 1.4840E−02 | |
| SRBCT | Avg | 6.6789E−03 | 2.2303E−02 | 4.1155E−02 | 2.3002E−02 | 1.4805E−02 | 2.3687E−02 | 6.6811E−03 |
| Std | 1.7049E−03 | 6.0807E−04 | 4.6884E−02 | 3.7227E−02 | 3.9572E−03 | 4.3725E−04 | 1.8935E−03 | |
| thyroid_2class | Avg | 2.1618E−01 | 2.2604E−01 | 2.5094E−01 | 2.3622E−01 | 2.4185E−01 | 2.2907E−01 | 2.2504E−01 |
| Std | 3.8167E−02 | 6.2739E−02 | 5.9681E−02 | 5.1007E−02 | 4.7313E−02 | 5.7220E−02 | 7.9832E−02 | |
| Tumors_9 | Avg | 2.5445E−02 | 6.4943E−02 | 1.9426E−01 | 5.7946E−02 | 6.5823E−02 | 5.6279E−02 | 6.6829E−02 |
| Std | 4.3415E−02 | 6.7352E−02 | 1.6515E−01 | 9.7354E−02 | 7.8684E−02 | 1.0020E−01 | 7.5872E−02 | |
| Tumors_11 | Avg | 5.3933E−02 | 7.9013E−02 | 1.0561E−01 | 7.0922E−02 | 8.6107E−02 | 8.2210E−02 | 6.1966E−02 |
| Std | 5.6454E−02 | 3.7298E−02 | 5.8900E−02 | 5.4279E−02 | 6.2308E−02 | 4.7651E−02 | 6.1288E−02 | |
| USAdata | Avg | 2.4118E−01 | 2.4613E−01 | 2.8659E−01 | 2.5302E−01 | 2.5465E−01 | 2.5251E−01 | 2.4553E−01 |
| Std | 2.3091E−02 | 1.6147E−02 | 3.0761E−02 | 1.6995E−02 | 1.1420E−02 | 1.8095E−02 | 2.0967E−02 | |
| Vote | Avg | 2.2007E−02 | 2.8333E−02 | 4.6225E−02 | 2.8924E−02 | 2.5031E−02 | 2.6281E−02 | 2.5065E−02 |
| Std | 1.6001E−02 | 2.9362E−02 | 2.6232E−02 | 1.9060E−02 | 1.7305E−02 | 1.9072E−02 | 2.2894E−02 | |
| wdbc | Avg | 1.6500E−02 | 1.7667E−02 | 3.6726E−02 | 2.5609E−02 | 2.7030E−02 | 2.5335E−02 | 2.2667E−02 |
| Std | 6.5475E−03 | 8.8262E−03 | 1.4610E−02 | 1.6207E−02 | 1.4310E−02 | 1.0862E−02 | 1.2771E−02 | |
| Wielaw | Avg | 6.0897E−02 | 6.4697E−02 | 1.3719E−01 | 9.2155E−02 | 8.5019E−02 | 7.7767E−02 | 6.9519E−02 |
| Std | 4.2724E−02 | 3.5887E−02 | 5.4339E−02 | 4.1255E−02 | 5.0144E−02 | 3.3475E−02 | 3.1863E−02 | |
| Wine | Avg | 1.0769E−02 | 1.0769E−02 | 3.3632E−02 | 1.4615E−02 | 1.4231E−02 | 1.3846E−02 | 1.2308E−02 |
| Std | 2.4325E−03 | 3.9723E−03 | 2.3595E−02 | 3.9723E−03 | 3.6488E−03 | 1.9861E−03 | 3.5344E−03 | |
| Overall Rank | +/=/− | ∼ | 29/1/0 | 30/0/0 | 30/0/0 | 30/0/0 | 30/0/0 | 30/0/0 |
| Avg | 1.00 | 3.70 | 6.87 | 4.33 | 4.53 | 4.63 | 2.90 | |
| Rank | 1 | 3 | 7 | 4 | 5 | 6 | 2 |