Research Article

Estimating the Concrete Compressive Strength Using Hard Clustering and Fuzzy Clustering Based Regression Techniques

Table 10

Equations for different clusters for estimating concrete compressive strength using LMS regression.

Number of clustersClusterEquation

110.1123 C + 0.0829 BFS + 0.0545 F − 0.0688 W + 0.4242 S + 0.0102 CA + 0.0043 FA − 8.3733

210.1025 C + 0.0638 BFS + −0.0386 F + −0.0068 W + 0.9019 S + −0.0088 CA + −0.0145 FA + 16.4968
20.1756 C + 0.1554 BFS + 0.12 F + −0.0281 W + 0.1514 S + 0.0568 CA + 0.0588 FA + −126.1692

310.1214 C + 0.1697 BFS + 0.01 F + −0.3376 W + −0.3047 S + −0.0119 CA + −0.043 FA + 93.7417
20.1427 C + 0.2122 BFS + 0.0827 F + −0.1831 W + 0.3936 S + 0.0261 CA + 0.0399 FA + −42.9607
30.1427 C + 0.2122 BFS + 0.0827 F + −0.1831 W + 0.3936 S + 0.0261 CA + 0.0399 FA + −42.9607

410.124 C + 0.1832 BFS + 0.005 F + −0.1905 W + −0.2358 S + 0.0784 CA + 0.0156 FA + −63.3526
20.0646 C + 0.0294 BFS + 0.0119 F + −0.1295 W + 0.2192 S + −0.0479 CA + −0.0707 FA + 135.821
30.1357 C + 0.0365 BFS + −0.0011 F + 0.0415 W + 1.2929 S + −0.013 CA + 0.0127 FA + −13.1736
40.1955 C + 0.1941 BFS + 0.1118 F + 0.0249 W + 0.4467 S + 0.0851 CA + 0.0797 FA + −186.1104

710.153 C + 0.2109 BFS + −0.0039 W + −0.0535 S + 0.0756 CA + 0.0461 FA + −131.7132
20.086 C + 0.0338 BFS + 0.1355 F + −0.1872 W + 0.1889 S + −0.0453 CA + −0.057 FA + 126.286
30.1497 C + 0.0824 BFS + −0.0074 F + 0.254 W + 1.624 S + 0.0223 CA + 0.0439 FA + −123.2346
40.1313 C + 0.098 BFS + −0.0133 F + −0.119 W + −0.0542 S + −0.0312 CA + −0.0158 FA + 57.0779
50.1354 C + −0.1365 BFS + 0.1906 F + −0.2073 W + −0.2973 S + 0.0069 CA + 0.0031 FA + 6.1093
60.2897 C + 0.1449 BFS + 0.1695 F + −0.1257 W + 0.6174 S + 0.0505 CA + 0.103 FA + −169.8855
70.153 C + 0.1335 BFS + 0.0785 F + 0.0094 W + 0.6421 S + 0.1257 CA + 0.0659 FA + −198.2299

1010.1655 C + 0.1993 BFS + −0.366 W + −0.6273 S + 0.0785 CA + −32.0018
20.0999 C + 0.0175 BFS + −0.0505 F + −0.0565 W + 1.1747 S + −0.0327 CA + −0.0134 FA + 49.551
30.1137 C + 0.0975 BFS + −0.005 F + −0.0662 W + 0.3299 S + −0.0494 CA + −0.0143 FA + 64.7487
40.1325 C + 0.0707 BFS + −0.0091 F + −0.1209 W + −0.0786 S + −0.0257 CA + −0.0167 FA + 55.767
50.0621 C + 0.082 BFS + −0.0234 F + −0.2272 W + 0.1207 S + 0.0071 CA + −0.0091 FA + 55.3497
60.2211 C + 0.2119 BFS + 0.2084 F + 0.0189 W + 1.1351 S + 0.1005 CA + 0.0905 FA + −232.357
70.141 C + 0.102 BFS + 0.1055 F + 0.0264 W + 0.8571 S + 0.0373 CA + 0.0708 FA + −119.3061
80.0156 * C + −0.0279 * BFS + −0.1598 * F + −0.2105 * W + 1.1434 * S + −0.1111 * CA + −0.0991 * FA + 250.545
90.0947 * C + −0.0374 * BFS + 0.0511 * F + −0.0771 * W + 0.615 * S + −0.0546 * CA + −0.0529 * FA + 104.3686
10−0.0602 * C + −0.0801 * BFS + 0.083 * F + −0.6562 * W + −2.4912 * S + −0.0621 * CA + 0.0711 * FA + 234.7251