Table 2 Terminologies and Notations
Notation | Description |
|---|---|
\(W\) | Population of whales |
\(G\) | Population of grey wolf |
\(X_i\) | Position of the \(i\)-th whale |
\(Y_i\) | Position of the \(i\)-th grey wolf |
\(Q_W\) | Quantum population for whales |
\(Q_G\) | Quantum population for grey wolf |
\(\textit{MaxIter}\) | Maximum number of iterations |
\(t\) | Iteration counter |
\(\alpha _W, \beta _W, \delta _W\) | Top solutions for whales |
\(\alpha _G, \beta _G, \delta _G\) | Top solutions for grey wolf |
\(P\) | Pareto front set |
\(f_j(X_i)\) | Fitness value of the \(i\)-th whale for the \(j\)-th objective |
\(f_j(Y_i)\) | Fitness value of the \(i\)-th grey wolf for the \(j\)-th objective |
\(r_W\) | Random number for whales |
\(r_G\) | Random number for grey wolf |
\(\alpha _q\) | Quantum behavior coefficient for position update |
\(\beta _q\) | Quantum behavior coefficient for quantum position update |
\(\alpha , \beta , \delta\) | Best, second best, and third best solutions in MOGWOA |
\(A, C\) | Coefficients in MOGWOA representing the encircling mechanism |
\(D_{\alpha }, D_{\beta }, D_{\delta }\) | Distance vectors between wolf and best solutions in MOGWOA |
\(S\) | Position vector in MOWOA |
\(A, b, l\) | Coefficients in MOWOA representing the spiral updating position |
\(L\) | Distance between the prey and the whale in MOWOA |
\(k\) | Number of objectives |
\(n\) | Population size |
