Journal of Applied Mathematics

Research Article

A Fuzzy Genetic Algorithm Based on Binary Encoding for Solving Multidimensional Knapsack Problems

Table 3

Comparison of gender grouping mechanisms.
𝑓 1 𝑓 2 𝑓 3 𝑓 4
Selection 1 7 . 0 2 × 1 0 1 0 121.56 133.82 267.57
Selection 2 8 . 0 9 × 1 0 1 0 𝟏 𝟔 𝟐 . 𝟐 𝟎 210.08 𝟑 𝟎 𝟖 . 𝟏 𝟑
Selection 3 8 . 0 9 × 1 0 1 0 𝟏 𝟔 𝟐 . 𝟐 𝟎 210.08 308.13
Selection 4 𝟖 . 𝟑 𝟓 × 𝟏 𝟎 𝟏 𝟎 𝟏 𝟔 𝟐 . 𝟐 𝟎 𝟐 𝟏 𝟎 . 𝟐 𝟑 𝟑 𝟎 𝟖 . 𝟏 𝟑
Selection 5 7 . 0 2 × 1 0 1 0 110.21 98.66 221.55
Selection 6 7 . 4 9 × 1 0 1 0 117.02 60.14 308.08
Selection 7 8 . 1 1 × 1 0 1 0 𝟏 𝟔 𝟐 . 𝟐 𝟎 209.83 𝟑 𝟎 𝟖 . 𝟏 𝟑
Selection 8 𝟖 . 𝟑 𝟓 × 𝟏 𝟎 𝟏 𝟎 𝟏 𝟔 𝟐 . 𝟐 𝟎 𝟐 𝟏 𝟎 . 𝟐 𝟑 𝟑 𝟎 𝟖 . 𝟏 𝟑