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Table 4 Random normal variate when \(\mu =[\mathrm{20,22}]\) and \(\sigma =[\mathrm{3,5}]\)

From: Simulating imprecise data: sine–cosine and convolution methods with neutrosophic normal distribution

Sr#

\({I}_{N}\)=0

\({I}_{N}\)=0.01

\({I}_{N}\)=0.02

\({I}_{N}\)=0.03

\({I}_{N}\)=0.05

\({I}_{N}\)=0.10

 

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

1

[22.5,26.1]

[23.5,27.9]

[21.1,23.8]

[24.5,29.5]

[18.4,19.7]

[17.2,17.2]

[14.8,14.1]

[16.7,23]

[17.7,18.6]

[16.9,17.86]

[16.9,17.86]

[19.5,19.77]

2

[20.7,23.2]

[12.9,10.2]

[14.8,13.7]

[15.9,14.9]

[18.4,19.2]

[22,25.2]

[23.1,27]

[21.8,28.1]

[15.2,15.5]

[18.9,19.81]

[18.9,19.81]

[22.3,24.89]

3

[18.5,19.4]

[21.7,24.9]

[16.7,16.7]

[17.3,17.4]

[19.7,21.5]

[22.2,25.6]

[22.3,25.7]

[21.3,25.1]

[23.1,27.1]

[25,32.19]

[25,32.19]

[16.2,21.06]

4

[17.9,18.5]

[22.8,26.7]

[18,18.8]

[20,21.9]

[18,19]

[17.8,18.1]

[22.7,27.5]

[16,23.4]

[14.5,13.1]

[18.8,19.29]

[18.8,19.29]

[23.1,26.32]

5

[16.7,16.5]

[23.1,27.2]

[18.2,19.2]

[17.9,18.4]

[21.5,24.3]

[26.8,33.4]

[17.8,18.7]

[19.4,27.1]

[25.8,31.9]

[13.9,12.16]

[13.9,12.16]

[20.9,20.47]

6

[17.7,18.2]

[17,17]

[17,17]

[21.6,24.5]

[20.5,23.1]

[17.9,18.7]

[18.5,19.4]

[22.9,18.5]

[17.5,17.3]

[20.7,24.79]

[20.7,24.79]

[17.3,18.98]

7

[23.9,28.5]

[22.2,25.6]

[23.7,28.1]

[21.3,24.1]

[17.6,17.8]

[22.7,26.2]

[21,23.4]

[22.1,12.3]

[17.2,15.5]

[23.1,26.05]

[23.1,26.05]

[25.7,31.82]

8

[18.4,19.3]

[20.6,23]

[21.1,23.7]

[25.5,31.2]

[16.3,15.5]

[26.9,33.2]

[17.4,17.3]

[23.7,25]

[17.3,18.3]

[19.9,20.66]

[19.9,20.66]

[24.9,29.7]

9

[23,26.9]

[22.6,26.3]

[22.4,25.9]

[20.3,22.5]

[24.3,29.1]

[23.9,28.6]

[24,28.5]

[20.3,15.7]

[16.3,14.6]

[22.5,25.58]

[22.5,25.58]

[20.8,23.28]

10

[16.3,15.8]

[19.3,20.8]

[13.8,11.8]

[19.3,20.5]

[19.6,21.2]

[22.7,26.4]

[22.9,26.6]

[23.9,24.6]

[18.4,20.2]

[22.9,26.31]

[22.9,26.31]

[21.6,24.68]

11

[21.4,24.3]

[12.8,10]

[20.4,22.8]

[18.5,19.7]

[22.2,25.6]

[20,22]

[25.7,32.4]

[15.9,23.5]

[17.7,18.7]

[24.2,28.46]

[24.2,28.46]

[22.6,26.53]

12

[24.3,29.1]

[21.6,24.7]

[23.2,27.4]

[20.5,22.8]

[23.7,28.1]

[20.3,22.6]

[17.5,17.7]

[21.6,32.4]

[15.9,17.9]

[24,30.16]

[24,30.16]

[16.9,21.15]

13

[15.7,14.9]

[26.4,32.7]

[21.4,24.7]

[15.4,14.4]

[19.8,21.6]

[21.4,24.1]

[16.8,17.1]

[18.6,20.1]

[20.7,22.7]

[22.1,24.93]

[22.1,24.93]

[21.2,23.86]

14

[20.9,23.5]

[17.6,18]

[21.4,24.7]

[16.6,16.5]

[15.7,14.7]

[22.1,25.2]

[12,9.7]

[14.6,22.4]

[25.8,31.5]

[21.1,22.98]

[21.1,22.98]

[19,21.82]

15

[21,23.7]

[21.7,24.9]

[22.3,26.3]

[15.3,14.5]

[18,18.9]

[18.7,19.7]

[21,24.2]

[17.7,13.3]

[19.8,20.2]

[24,32.19]

[24,32.19]

[14.6,17.72]

16

[21.2,24]

[16.8,16.7]

[20.1,22.1]

[22.7,26.4]

[15.5,14.7]

[19.8,21.3]

[20.2,22.9]

[17.6,20.4]

[22.8,26.3]

[19.2,21.9]

[19.2,21.9]

[18.5,20.13]

17

[16.8,16.7]

[18.2,18.9]

[21.2,24.3]

[17.2,17.5]

[16,15.5]

[19,19.9]

[19,20.8]

[18.5,30.1]

[20.2,22.3]

[18.6,21.32]

[18.6,21.32]

[19.8,21.65]

18

[23,26.9]

[17.7,18.2]

[19.1,20.8]

[17,17]

[19.8,21.3]

[26.6,32.9]

[20.5,22.6]

[22.3,25.8]

[21.3,24.1]

[22.4,25.41]

[22.4,25.41]

[20.3,22.42]

19

[24.7,29.8]

[21.6,24.7]

[16.3,15.9]

[18.4,19.1]

[19.5,21.6]

[17.4,17.8]

[21.3,25.3]

[15.3,26]

[18.3,20.4]

[17.1,20.37]

[17.1,20.37]

[15.8,14]

20

[18.1,18.8]

[16.7,16.6]

[17.7,18.3]

[19.9,21.6]

[22.4,25.8]

[22.6,26.4]

[20.3,22.2]

[23.2,24.2]

[15.5,15]

[18.9,21.23]

[18.9,21.23]

[20.8,22.33]

21

[23.4,27.7]

[23.6,27.9]

[22.4,25.9]

[21.3,24.2]

[23.8,28.2]

[21.8,25]

[21.1,23.4]

[24.7,25.7]

[23.7,28.2]

[20.5,23.2]

[20.5,23.2]

[18.5,20.9]

22

[12.9,10.2]

[19.8,21.7]

[23.6,27.9]

[20.4,22.7]

[17.1,17.1]

[22,25.1]

[19.1,21]

[18,25.5]

[20.8,23.3]

[20.1,21.69]

[20.1,21.69]

[22.3,25.08]

23

[19.8,21.7]

[22,25.3]

[10.4,6.2]

[17.8,17.8]

[21.3,24]

[22.9,26.9]

[22.1,25.2]

[20.9,13.8]

[25.4,30]

[21.7,25.87]

[21.7,25.87]

[17.8,20.47]

24

[16.6,16.3]

[16.6,16.3]

[22.5,26.1]

[21.9,25.1]

[12.9,10.1]

[22.6,25.7]

[17,16.9]

[21.4,18.2]

[26,31.5]

[18.1,18.65]

[18.1,18.65]

[21.9,24.06]

25

[20.4,22.7]

[23,27]

[17.6,18.1]

[17.6,17.8]

[18.7,19.7]

[22.4,25.8]

[14.4,13.2]

[17.3,18]

[17.9,17.9]

[21.7,27.83]

[21.7,27.83]

[15.6,17.09]