Table 1 Competition pools and competition pairs.

From: A many-objective evolutionary algorithm based on three states for solving many-objective optimization problem

Competition pairs

\(\left(A,B\right)\)

\(\left(B,A\right)\)

\(\left(A,C\right)\)

\(\left(C,A\right)\)

\(\left(A,D\right)\)

\(\left(D,A\right)\)

\(\left(B,C\right)\)

\(\left(C,B\right)\)

\(\left(B,D\right)\)

\(\left(D,B\right)\)

\(\left(C,D\right)\)

\(\left(D,C\right)\)

\(P\left({x}^{i},{x}^{j}\right)\)

7.7181e-4

0.0712

7.2780e-4

0.0105

3.3546e-4

3.3546e-4

0.0321

0.0049

0.028

3.0055e-4

0.0398

0.0028

\(Imp\left({x}^{i},{x}^{j}\right)\)

0.0107

0.9893

0.0648

0.9352

0.5

0.5

0.8676

0.1324

0.9894

0.0106

0.9343

0.0657

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