Journals
Publish with us
Publishing partnerships
About us
Blog
Advances in Fuzzy Systems
Journal overview
For authors
For reviewers
For editors
Table of Contents
Special Issues
Advances in Fuzzy Systems
/
2018
/
Article
/
Tab 1
/
Research Article
Pythagorean Fuzzy
-Norm Information Measure for Multicriteria Decision-Making Problem
Table 1
Values of entropy for different values of
and
.
SI. No.
1
0.2
254.676
218.665
184.776
194.201
54.000
46.744
39.669
41.643
20.000
17.381
14.767
15.498
16.960
14.743
12.500
13.123
16.346
14.208
12.040
12.637
16.186
14.068
11.919
12.511
2
0.3
147.744
127.021
107.410
112.867
21.030
18.328
15.608
16.369
5.134
4.526
3.855
4.044
4.068
3.590
3.017
3.171
3.864
3.408
2.854
2.996
3.811
3.360
2.811
2.951
3
0.5
107.670
92.610
78.329
82.303
12.000
10.497
8.952
9.385
2.000
1.785
1.495
1.577
1.464
1.309
1.030
1.096
1.366
1.218
0.943
0.998
1.341
1.193
0.920
0.973
4
0.8
93.073
80.064
67.717
71.154
9.340
8.180
6.972
7.311
1.264
1.134
0.906
0.970
0.877
0.790
0.534
0.584
0.809
0.722
0.468
0.503
0.792
0.701
0.451
0.483
5
1.2
86.508
74.420
62.939
66.134
8.263
7.241
6.162
6.464
1.004
0.902
0.673
0.736
0.675
0.611
0.335
0.375
0.618
0.549
0.281
0.301
0.604
0.528
0.267
0.283
6
1.7
83.052
71.448
60.420
63.489
7.727
6.773
5.753
6.038
0.884
0.796
0.552
0.614
0.584
0.529
0.236
0.261
0.532
0.467
0.192
0.192
0.519
0.444
0.179
0.176
7
2.5
80.576
69.319
58.613
61.592
7.356
6.449
5.467
5.740
0.805
0.726
0.468
0.525
0.524
0.474
0.177
0.178
0.476
0.406
0.141
0.115
0.464
0.381
0.128
0.101
8
5
78.100
67.190
56.806
59.692
6.996
6.133
5.188
5.446
0.731
0.659
0.393
0.433
0.469
0.413
0.135
0.103
0.424
0.327
0.102
0.050
0.413
0.296
0.087
0.037
9
7
77.420
66.604
56.309
59.170
6.899
6.048
5.113
5.366
0.712
0.640
0.374
0.409
0.455
0.391
0.125
0.087
0.411
0.294
0.091
0.033
0.400
0.261
0.073
0.021
10
10
76.917
66.172
55.942
58.784
6.828
5.985
5.058
5.308
0.698
0.625
0.361
0.392
0.444
0.370
0.117
0.074
0.401
0.263
0.081
0.019
0.391
0.231
0.060
0.009
11
20
76.339
65.674
55.520
58.340
6.746
5.912
4.995
5.241
0.682
0.605
0.346
0.372
0.433
0.340
0.107
0.059
0.390
0.224
0.067
0.005
0.380
0.203
0.035
0.001
12
40
76.053
65.427
55.311
58.120
6.706
5.877
4.963
5.208
0.674
0.595
0.338
0.362
0.427
0.325
0.100
0.053
0.385
0.213
0.052
0.003
0.375
0.199
0.013
0.000
13
50
75.996
65.378
55.270
58.076
6.698
5.869
4.957
5.201
0.673
0.593
0.337
0.361
0.426
0.323
0.098
0.052
0.384
0.211
0.048
0.002
0.374
0.199
0.009
0.000
14
70
75.931
65.322
55.222
58.026
6.689
5.861
4.950
5.194
0.671
0.591
0.335
0.358
0.425
0.320
0.096
0.050
0.383
0.210
0.044
0.002
0.372
0.199
0.005
0.000
15
100
75.882
65.280
55.187
57.989
6.682
5.855
4.945
5.188
0.670
0.589
0.333
0.357
0.424
0.317
0.094
0.050
0.382
0.209
0.041
0.002
0.372
0.198
0.003
0.000
16
200
75.826
65.231
55.145
57.945
6.675
5.848
4.939
5.182
0.668
0.587
0.332
0.355
0.423
0.315
0.092
0.049
0.381
0.208
0.037
0.002
0.371
0.198
0.002
0.000
17
500
75.792
65.202
55.120
57.919
6.670
5.844
4.935
5.178
0.667
0.586
0.331
0.354
0.422
0.314
0.091
0.048
0.380
0.208
0.036
0.002
0.370
0.198
0.001
0.000