Effect normalization of the tensile, flexural, impact, and densities of the developed composite
S/N . | Normalization . | Deviation sequence . | Grey relational coefficient . | Grey relational grades . | Ranks . | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | |||
1 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 0.0000 | 0.3333 | 0.3333 | 0.3333 | 1.0000 | 0.5000 | 13 |
2 | 0.2760 | 0.3572 | 0.3721 | 0.6108 | 0.7240 | 0.6428 | 0.6279 | 0.3892 | 0.4085 | 0.4375 | 0.4433 | 0.5623 | 0.4629 | 16 |
3 | 0.4045 | 0.7487 | 0.5438 | 0.4415 | 0.5955 | 0.2513 | 0.4562 | 0.5585 | 0.4564 | 0.6655 | 0.5229 | 0.4724 | 0.5293 | 10 |
4 | 0.3434 | 0.6770 | 0.4863 | 0.4463 | 0.6566 | 0.3230 | 0.5137 | 0.5537 | 0.4323 | 0.6075 | 0.4932 | 0.4745 | 0.5019 | 12 |
5 | 0.5053 | 0.2312 | 0.0854 | 0.7542 | 0.4947 | 0.7688 | 0.9146 | 0.2458 | 0.5027 | 0.3941 | 0.3535 | 0.6704 | 0.4801 | 15 |
6 | 0.7051 | 0.5927 | 0.5880 | 0.3380 | 0.2949 | 0.4073 | 0.4120 | 0.6620 | 0.6290 | 0.5511 | 0.5482 | 0.4303 | 0.5397 | 9 |
7 | 1.0000 | 0.9910 | 1.0000 | 0.0166 | 0.0000 | 0.0090 | 0.0000 | 0.9834 | 1.0000 | 0.9824 | 1.0000 | 0.3371 | 0.8299 | 1 |
8 | 0.9178 | 0.7673 | 0.8519 | 0.1233 | 0.0822 | 0.2327 | 0.1481 | 0.8767 | 0.8588 | 0.6824 | 0.7715 | 0.3632 | 0.6690 | 3 |
9 | 0.6395 | 0.3587 | 0.6326 | 0.5360 | 0.3605 | 0.6413 | 0.3674 | 0.4640 | 0.5810 | 0.4381 | 0.5764 | 0.5187 | 0.5286 | 11 |
10 | 0.7508 | 0.7987 | 0.9009 | 0.1084 | 0.2492 | 0.2013 | 0.0991 | 0.8916 | 0.6674 | 0.7130 | 0.8345 | 0.3593 | 0.6435 | 6 |
11 | 0.7536 | 0.8223 | 0.7296 | 0.2954 | 0.2464 | 0.1777 | 0.2704 | 0.7046 | 0.6699 | 0.7378 | 0.6490 | 0.4151 | 0.6180 | 7 |
12 | 0.7616 | 0.7952 | 0.9043 | 0.1586 | 0.2384 | 0.2048 | 0.0957 | 0.8414 | 0.6772 | 0.7094 | 0.8393 | 0.3727 | 0.6497 | 5 |
13 | 0.4767 | 0.4247 | 0.5880 | 0.4079 | 0.5233 | 0.5753 | 0.4120 | 0.5921 | 0.4886 | 0.4650 | 0.5482 | 0.4578 | 0.4899 | 14 |
14 | 0.6600 | 0.8683 | 0.9708 | 0.0201 | 0.3400 | 0.1317 | 0.0292 | 0.9799 | 0.5952 | 0.7916 | 0.9448 | 0.3379 | 0.6674 | 4 |
15 | 0.7045 | 1.0000 | 0.9841 | 0.0000 | 0.2955 | 0.0000 | 0.0159 | 1.0000 | 0.6286 | 1.0000 | 0.9692 | 0.3333 | 0.7328 | 2 |
16 | 0.6295 | 0.8046 | 0.7597 | 0.1863 | 0.3705 | 0.1954 | 0.2403 | 0.8137 | 0.5744 | 0.7190 | 0.6754 | 0.3806 | 0.5873 | 8 |
Mean | 0.5894 |
S/N . | Normalization . | Deviation sequence . | Grey relational coefficient . | Grey relational grades . | Ranks . | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | |||
1 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 0.0000 | 0.3333 | 0.3333 | 0.3333 | 1.0000 | 0.5000 | 13 |
2 | 0.2760 | 0.3572 | 0.3721 | 0.6108 | 0.7240 | 0.6428 | 0.6279 | 0.3892 | 0.4085 | 0.4375 | 0.4433 | 0.5623 | 0.4629 | 16 |
3 | 0.4045 | 0.7487 | 0.5438 | 0.4415 | 0.5955 | 0.2513 | 0.4562 | 0.5585 | 0.4564 | 0.6655 | 0.5229 | 0.4724 | 0.5293 | 10 |
4 | 0.3434 | 0.6770 | 0.4863 | 0.4463 | 0.6566 | 0.3230 | 0.5137 | 0.5537 | 0.4323 | 0.6075 | 0.4932 | 0.4745 | 0.5019 | 12 |
5 | 0.5053 | 0.2312 | 0.0854 | 0.7542 | 0.4947 | 0.7688 | 0.9146 | 0.2458 | 0.5027 | 0.3941 | 0.3535 | 0.6704 | 0.4801 | 15 |
6 | 0.7051 | 0.5927 | 0.5880 | 0.3380 | 0.2949 | 0.4073 | 0.4120 | 0.6620 | 0.6290 | 0.5511 | 0.5482 | 0.4303 | 0.5397 | 9 |
7 | 1.0000 | 0.9910 | 1.0000 | 0.0166 | 0.0000 | 0.0090 | 0.0000 | 0.9834 | 1.0000 | 0.9824 | 1.0000 | 0.3371 | 0.8299 | 1 |
8 | 0.9178 | 0.7673 | 0.8519 | 0.1233 | 0.0822 | 0.2327 | 0.1481 | 0.8767 | 0.8588 | 0.6824 | 0.7715 | 0.3632 | 0.6690 | 3 |
9 | 0.6395 | 0.3587 | 0.6326 | 0.5360 | 0.3605 | 0.6413 | 0.3674 | 0.4640 | 0.5810 | 0.4381 | 0.5764 | 0.5187 | 0.5286 | 11 |
10 | 0.7508 | 0.7987 | 0.9009 | 0.1084 | 0.2492 | 0.2013 | 0.0991 | 0.8916 | 0.6674 | 0.7130 | 0.8345 | 0.3593 | 0.6435 | 6 |
11 | 0.7536 | 0.8223 | 0.7296 | 0.2954 | 0.2464 | 0.1777 | 0.2704 | 0.7046 | 0.6699 | 0.7378 | 0.6490 | 0.4151 | 0.6180 | 7 |
12 | 0.7616 | 0.7952 | 0.9043 | 0.1586 | 0.2384 | 0.2048 | 0.0957 | 0.8414 | 0.6772 | 0.7094 | 0.8393 | 0.3727 | 0.6497 | 5 |
13 | 0.4767 | 0.4247 | 0.5880 | 0.4079 | 0.5233 | 0.5753 | 0.4120 | 0.5921 | 0.4886 | 0.4650 | 0.5482 | 0.4578 | 0.4899 | 14 |
14 | 0.6600 | 0.8683 | 0.9708 | 0.0201 | 0.3400 | 0.1317 | 0.0292 | 0.9799 | 0.5952 | 0.7916 | 0.9448 | 0.3379 | 0.6674 | 4 |
15 | 0.7045 | 1.0000 | 0.9841 | 0.0000 | 0.2955 | 0.0000 | 0.0159 | 1.0000 | 0.6286 | 1.0000 | 0.9692 | 0.3333 | 0.7328 | 2 |
16 | 0.6295 | 0.8046 | 0.7597 | 0.1863 | 0.3705 | 0.1954 | 0.2403 | 0.8137 | 0.5744 | 0.7190 | 0.6754 | 0.3806 | 0.5873 | 8 |
Mean | 0.5894 |
Effect normalization of the tensile, flexural, impact, and densities of the developed composite
S/N . | Normalization . | Deviation sequence . | Grey relational coefficient . | Grey relational grades . | Ranks . | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | |||
1 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 0.0000 | 0.3333 | 0.3333 | 0.3333 | 1.0000 | 0.5000 | 13 |
2 | 0.2760 | 0.3572 | 0.3721 | 0.6108 | 0.7240 | 0.6428 | 0.6279 | 0.3892 | 0.4085 | 0.4375 | 0.4433 | 0.5623 | 0.4629 | 16 |
3 | 0.4045 | 0.7487 | 0.5438 | 0.4415 | 0.5955 | 0.2513 | 0.4562 | 0.5585 | 0.4564 | 0.6655 | 0.5229 | 0.4724 | 0.5293 | 10 |
4 | 0.3434 | 0.6770 | 0.4863 | 0.4463 | 0.6566 | 0.3230 | 0.5137 | 0.5537 | 0.4323 | 0.6075 | 0.4932 | 0.4745 | 0.5019 | 12 |
5 | 0.5053 | 0.2312 | 0.0854 | 0.7542 | 0.4947 | 0.7688 | 0.9146 | 0.2458 | 0.5027 | 0.3941 | 0.3535 | 0.6704 | 0.4801 | 15 |
6 | 0.7051 | 0.5927 | 0.5880 | 0.3380 | 0.2949 | 0.4073 | 0.4120 | 0.6620 | 0.6290 | 0.5511 | 0.5482 | 0.4303 | 0.5397 | 9 |
7 | 1.0000 | 0.9910 | 1.0000 | 0.0166 | 0.0000 | 0.0090 | 0.0000 | 0.9834 | 1.0000 | 0.9824 | 1.0000 | 0.3371 | 0.8299 | 1 |
8 | 0.9178 | 0.7673 | 0.8519 | 0.1233 | 0.0822 | 0.2327 | 0.1481 | 0.8767 | 0.8588 | 0.6824 | 0.7715 | 0.3632 | 0.6690 | 3 |
9 | 0.6395 | 0.3587 | 0.6326 | 0.5360 | 0.3605 | 0.6413 | 0.3674 | 0.4640 | 0.5810 | 0.4381 | 0.5764 | 0.5187 | 0.5286 | 11 |
10 | 0.7508 | 0.7987 | 0.9009 | 0.1084 | 0.2492 | 0.2013 | 0.0991 | 0.8916 | 0.6674 | 0.7130 | 0.8345 | 0.3593 | 0.6435 | 6 |
11 | 0.7536 | 0.8223 | 0.7296 | 0.2954 | 0.2464 | 0.1777 | 0.2704 | 0.7046 | 0.6699 | 0.7378 | 0.6490 | 0.4151 | 0.6180 | 7 |
12 | 0.7616 | 0.7952 | 0.9043 | 0.1586 | 0.2384 | 0.2048 | 0.0957 | 0.8414 | 0.6772 | 0.7094 | 0.8393 | 0.3727 | 0.6497 | 5 |
13 | 0.4767 | 0.4247 | 0.5880 | 0.4079 | 0.5233 | 0.5753 | 0.4120 | 0.5921 | 0.4886 | 0.4650 | 0.5482 | 0.4578 | 0.4899 | 14 |
14 | 0.6600 | 0.8683 | 0.9708 | 0.0201 | 0.3400 | 0.1317 | 0.0292 | 0.9799 | 0.5952 | 0.7916 | 0.9448 | 0.3379 | 0.6674 | 4 |
15 | 0.7045 | 1.0000 | 0.9841 | 0.0000 | 0.2955 | 0.0000 | 0.0159 | 1.0000 | 0.6286 | 1.0000 | 0.9692 | 0.3333 | 0.7328 | 2 |
16 | 0.6295 | 0.8046 | 0.7597 | 0.1863 | 0.3705 | 0.1954 | 0.2403 | 0.8137 | 0.5744 | 0.7190 | 0.6754 | 0.3806 | 0.5873 | 8 |
Mean | 0.5894 |
S/N . | Normalization . | Deviation sequence . | Grey relational coefficient . | Grey relational grades . | Ranks . | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | Tensile Strength . | Flexural Strength . | Impact Strength . | Density . | |||
1 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 0.0000 | 0.3333 | 0.3333 | 0.3333 | 1.0000 | 0.5000 | 13 |
2 | 0.2760 | 0.3572 | 0.3721 | 0.6108 | 0.7240 | 0.6428 | 0.6279 | 0.3892 | 0.4085 | 0.4375 | 0.4433 | 0.5623 | 0.4629 | 16 |
3 | 0.4045 | 0.7487 | 0.5438 | 0.4415 | 0.5955 | 0.2513 | 0.4562 | 0.5585 | 0.4564 | 0.6655 | 0.5229 | 0.4724 | 0.5293 | 10 |
4 | 0.3434 | 0.6770 | 0.4863 | 0.4463 | 0.6566 | 0.3230 | 0.5137 | 0.5537 | 0.4323 | 0.6075 | 0.4932 | 0.4745 | 0.5019 | 12 |
5 | 0.5053 | 0.2312 | 0.0854 | 0.7542 | 0.4947 | 0.7688 | 0.9146 | 0.2458 | 0.5027 | 0.3941 | 0.3535 | 0.6704 | 0.4801 | 15 |
6 | 0.7051 | 0.5927 | 0.5880 | 0.3380 | 0.2949 | 0.4073 | 0.4120 | 0.6620 | 0.6290 | 0.5511 | 0.5482 | 0.4303 | 0.5397 | 9 |
7 | 1.0000 | 0.9910 | 1.0000 | 0.0166 | 0.0000 | 0.0090 | 0.0000 | 0.9834 | 1.0000 | 0.9824 | 1.0000 | 0.3371 | 0.8299 | 1 |
8 | 0.9178 | 0.7673 | 0.8519 | 0.1233 | 0.0822 | 0.2327 | 0.1481 | 0.8767 | 0.8588 | 0.6824 | 0.7715 | 0.3632 | 0.6690 | 3 |
9 | 0.6395 | 0.3587 | 0.6326 | 0.5360 | 0.3605 | 0.6413 | 0.3674 | 0.4640 | 0.5810 | 0.4381 | 0.5764 | 0.5187 | 0.5286 | 11 |
10 | 0.7508 | 0.7987 | 0.9009 | 0.1084 | 0.2492 | 0.2013 | 0.0991 | 0.8916 | 0.6674 | 0.7130 | 0.8345 | 0.3593 | 0.6435 | 6 |
11 | 0.7536 | 0.8223 | 0.7296 | 0.2954 | 0.2464 | 0.1777 | 0.2704 | 0.7046 | 0.6699 | 0.7378 | 0.6490 | 0.4151 | 0.6180 | 7 |
12 | 0.7616 | 0.7952 | 0.9043 | 0.1586 | 0.2384 | 0.2048 | 0.0957 | 0.8414 | 0.6772 | 0.7094 | 0.8393 | 0.3727 | 0.6497 | 5 |
13 | 0.4767 | 0.4247 | 0.5880 | 0.4079 | 0.5233 | 0.5753 | 0.4120 | 0.5921 | 0.4886 | 0.4650 | 0.5482 | 0.4578 | 0.4899 | 14 |
14 | 0.6600 | 0.8683 | 0.9708 | 0.0201 | 0.3400 | 0.1317 | 0.0292 | 0.9799 | 0.5952 | 0.7916 | 0.9448 | 0.3379 | 0.6674 | 4 |
15 | 0.7045 | 1.0000 | 0.9841 | 0.0000 | 0.2955 | 0.0000 | 0.0159 | 1.0000 | 0.6286 | 1.0000 | 0.9692 | 0.3333 | 0.7328 | 2 |
16 | 0.6295 | 0.8046 | 0.7597 | 0.1863 | 0.3705 | 0.1954 | 0.2403 | 0.8137 | 0.5744 | 0.7190 | 0.6754 | 0.3806 | 0.5873 | 8 |
Mean | 0.5894 |
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