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Application of the Simple Additive Weighting Method in the Assessment Process of Air Pollution on the Campus of the Silesian University of Technology


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Figure 1.

Location of the measurement point (50.292934N, 18.682164E) [28]
Location of the measurement point (50.292934N, 18.682164E) [28]

Compilation of the concentration of PM10 [μg/m3] and PM2.5 [μg/m3] and the content of SO2 [μg/m3], NO [μg/m3], NO2 [μg/m3] and NOx [μg/m3] in the “winter period” of the year 2020

Measurement date PM10 [μg/m3] PM2.5 [μg/m3] SO2 [μg/m3] NO [μg/m3] NO2 [μg/m3] NOX [μg/m3]
1/01/2020 40.462 28.323 25.478 3.275 8.706 13.715
2/01/2020 124.902 87.432 41.503 38.821 27.195 86.583
3/01/2020 107.254 75.078 32.006 26.421 14.956 55.371
29/03/2020 55.676 38.973 7.273 2.754 14.338 18.552
30/03/2020 20.938 14.656 6.421 3.986 15.239 21.336
31/03/2020 39.466 27.626 8.923 5.641 20.317 28.951
1/10/2020 18.258 12.781 22.049 14.453 19.972 42.070
2/10/2020 26.515 18.560 21.959 9.113 21.565 35.493
3/10/2020 24.387 17.071 22.209 1.164 7.612 9.392
29/12/2020 43.747 30.623 19.279 13.790 24.309 45.409
30/12/2020 39.855 27.899 18.920 41.474 45.820 109.232
31/12/2020 54.991 38.493 37.079 13.620 34.108 54.943

Scaled decision matrix V

Measurement date j = 1 j = 2 j = 3 j = 4 j = 5 j = 6
1/01/2020 0.802 0.802 0.446 0.979 0.931 0.970
2/01/2020 0.295 0.295 0.000 0.661 0.467 0.621
3/01/2020 0.401 0.401 0.264 0.772 0.774 0.770
29/03/2020 0.710 0.710 0.952 0.984 0.789 0.947
30/03/2020 0.919 0.919 0.976 0.973 0.767 0.933
31/03/2020 0.808 0.808 0.906 0.958 0.639 0.897
1/10/2020 0.935 0.935 0.541 0.879 0.648 0.834
2/10/2020 0.885 0.885 0.544 0.927 0.608 0.866
3/10/2020 0.898 0.898 0.537 0.998 0.958 0.990
29/12/2020 0.782 0.782 0.618 0.885 0.539 0.818
30/12/2020 0.805 0.805 0.628 0.637 0.000 0.513
31/12/2020 0.715 0.715 0.123 0.887 0.294 0.773

Partial rankings of “objects” in terms of measurement results of the concentrations of chemical compounds: SO2, NO, NO2 and NOx

Place in ranking “Object” Concentration of dust PM10 Place in ranking „Object” Concentration of dust PM2.5
1 21/03/2020 5.552 1 22/11/2020 0.959
2 22/03/2020 5.876 2 26/12/2020 1.051
3 18/02/2020 5.926 3 03/10/2020 1.164
4 12/03/2020 6.141 4 25/12/2020 1.351
166 31/12/2020 37.079 166 09/11/2020 64.873
167 14/01/2020 38.031 167 16/01/2020 96.890
168 02/01/2020 41.503 168 17/01/2020 112.511
Place in ranking “Object” Concentration of NO2 Place in ranking “Object” Concentration of NOx
1 22/11/2020 5.935 1 22/11/2020 7.406
2 18/10/2020 6.790 2 25/12/2020 9.094
3 25/12/2020 7.028 3 18/10/2020 9.249
4 03/10/2020 7.612 4 03/10/2020 9.392
166 27/03/2020 42.210 166 05/03/2020 129.471
167 17/01/2020 44.248 167 16/01/2020 183.417
168 30/12/2020 45.820 168 17/01/2020 216.371

Ranking vector R [m×1]

“Object” Rank (synthetic value) Ranking place
22/11/2020 0.976 1
25/12/2020 0.964 2
22/03/2020 0.956 3
11/02/2020 0.952 4
12/02/2020 0.945 5
02/02/2020 0.944 6
21/03/2020 0.941 7
12/03/2020 0.940 8
11/03/2020 0.938 9
18/10/2020 0.934 10
03/12/2020 0.586 159
18/03/2020 0.578 160
01/12/2020 0.573 161
11/12/2020 0.509 162
02/12/2020 0.455 163
02/01/2020 0.437 164
05/03/2020 0.433 165
09/11/2020 0.409 166
16/01/2020 0.300 167
17/01/2020 0.064 168

Weights of features (parameters) wj used in the example

wj
j = 1 j = 2 j = 3 j = 4 j = 5 j = 6
0.163 0.163 0.121 0.286 0.095 0.173

Partial rankings of “objects” in terms of measurement results of the concentrations of dusts: PM10 and PM2.5

Place in ranking „Object” Concentration of dust PM10 Place in ranking „Object” Concentration of dust PM2.5
1 14/10/2020 7.403 1 14/10/2020 5.182
2 23/02/2020 10.552 2 23/02/2020 7.386
3 11/03/2020 11.191 3 11/03/2020 7.834
4 12/03/2020 11.752 4 12/03/2020 8.226
166 16/01/2020 113.446 166 16/01/2020 79.413
167 02/01/2020 124.902 167 02/01/2020 87.432
168 17/01/2020 174.146 168 17/01/2020 121.902

Measured values of air temperature, air humidity and air pressure, wind speed and direction

Measurement date Air temperature [°C] Air humidity [%] Air pressure [hPa] Wind speed [m/s] Wind direction [°]
1/01/2020 2.626 77.801 1005.725 1.203 208.410
2/01/2020 −0.240 74.948 1003.083 0.514 151.699
3/01/2020 0.998 73.279 996.589 0.954 128.822
29/03/2020 4.583 72.266 988.835 3.349 340.415
30/03/2020 0.262 59.337 996.989 2.493 270.373
31/03/2020 0.566 65.272 999.125 1.642 272.971
1/10/2020 12.491 95.095 979.778 0.995 89.145
2/10/2020 14.304 86.464 979.089 0.946 173.747
3/10/2020 19.404 65.669 975.675 2.524 179.362
29/12/2020 4.897 78.060 968.197 1.015 148.936
30/12/2020 3.773 92.317 978.256 0.646 193.396
31/12/2020 −0.311 97.963 983.239 1.055 171.390

The ranges of variability of the measured parameters

Measurement date PM10 [μg/m3] PM2.5 [μg/m3] SO2 [μg/m3] NO [μg/m3] NO2 [μg/m3] NOX [μg/m3]
max 174.146 121.902 41.503 112.511 45.820 216.371
min 7.403 5.182 5.552 0.959 5.935 7.406
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Architecture and Design, Architecture, Architects, Buildings