IEEE Systems, Man and Cybernetics Magazine - April 2023 - 15

Table 7. The abilities of learners.
c1
c2
c3
c4
c5
c6
c7
s1 [0.45,0.57] [0.42,0.51] [0.51,0.58] [0.56,0.65] [0.48,0.62] [0.56,0.65] [0.6,0.61]
s2 [0.55,0.65]
[0.55,0.6]
[0.55,0.6]
[0.56,0.65] [0.58,0.62] [0.47,0.56] [0.58,0.62]
s3 [0.41,0.48] [0.52,0.65] [0.49,0.63] [0.51,0.55] [0.61,0.61] [0.56,0.65] [0.55,0.68]
s4 [0.47,0.57] [0.45,0.55] [0.43,0.51] [0.52,0.65] [0.59,0.63] [0.51,0.57] [0.59,0.63]
s5 [0.55,0.66] [0.52,0.65] [0.49,0.63] [0.51,0.55] [0.61,0.61] [0.56,0.65] [0.55,0.68]
s6 [0.52,0.65] [0.51,0.56]
s7 [0.58,0.69] [0.55,0.65]
[0.51,0.6]
[0.55,0.6]
[0.53,0.63] [0.51,0.6] [0.47,0.57] [0.46,0.57]
[0.48,0.59] [0.41,0.52] [0.52,0.65] [0.55,0.66]
s8 [0.45,0.56] [0.45,0.53] [0.38,0.47] [0.55,0.68] [0.48,0.58] [0.51,0.57] [0.52,0.66]
s9 [0.52,0.66] [0.51,0.55] [0.51,0.61] [0.51,0.63] [0.51,0.6] [0.47,0.56] [0.47,0.56]
comprehensive ability of each
learner by setting the former
weight as 0.8 and the latter one
as 0.2. The results are reported
in Table 9.
Then, CPLEX is applied to
select leaders, and the optimal
solution is obtained; TA
presented in " TA
is
for LC-LTF
for Project-Based Learning. "
The maximum value of the
objective function is 1.732.
The selected leaders for
three projects are denoted as
Hs ,, .ss
= " 53 2, After that, we
iteratively calculate the compatibility
between the leaders
and the other six learners on
the required abilities via (1),
Table 8. The conflict between learners
and projects.
g1
s1
s2
s3
s4
s5
s6
s7
s8
s9
1
g2
1
g3
1
and comprehensive compatibility matrix M is obtained via
weighted summation, as detailed in Table 10. Conflict
matrix CQ
among learners is in Table 11.
TM
Then, the optimal solution is gained via CPLEX, and
is presented in " TM
Table 10. The comprehensive
compatibility.
s1
s4
s6
s7
s8
s9
Table 9. The comprehensive ability
of learners.
g1
s1
s2
s3
s4
s5
s6
s7
s8
s9
0.526
0.575
0.478
0.522
0.594
0.563
0.511
0.565
g2
0.493
0.559
0.579
0.507
0.579
0.53
0.5
0.525
g3
0.552
0.559
0.561
0.485
0.561
0.544
0.452
0.546
s1
s2
s3
s4
s5
s6
s7
s8
s9
g1 (s5)
0.747
0.756
0.65
0.478
0.825
0.656
g2 (s3)
0.8
0.735
0.767
0.52
0.824
0.814
Table 11. The conflict constraints.
s1
s2
s3
1
1
s4
s5
s6
s7
1
s8
s9
April 2023 IEEE SYSTEMS, MAN, & CYBERNETICS MAGAZINE 15
g3 (s2)
0.617
0.767
0.68
0.549
0.834
0.661
for LC-LTF for Project-Based

IEEE Systems, Man and Cybernetics Magazine - April 2023

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