README.md

DTLZ

Benchmark MOP proposed by Deb, Thiele, Laumanns, and Zitzler

Reference
K. Deb, L. Thiele, M. Laumanns, and E. Zitzler, Scalable test problems for evolutionary multiobjective optimization, Evolutionary multiobjective Optimization. Theoretical Advances and Applications, 2005, 105-145.

Pareto Front on the DTLZ1	Initial population on the DTLZ1	Grid Points on the DTLZ1
Pareto Front on the DTLZ1	Initial population on the DTLZ1	Grid Points on the DTLZ1
Pareto Front on the DTLZ2	Initial population on the DTLZ2	Grid Points on the DTLZ2
Pareto Front on the DTLZ2	Initial population on the DTLZ2	Grid Points on the DTLZ2
Pareto Front on the DTLZ3	Initial population on the DTLZ3	Grid Points on the DTLZ3
Pareto Front on the DTLZ3	Initial population on the DTLZ3	Grid Points on the DTLZ3
Pareto Front on the DTLZ4	Initial population on the DTLZ4	Grid Points on the DTLZ4
Pareto Front on the DTLZ4	Initial population on the DTLZ4	Grid Points on the DTLZ4
Pareto Front on the DTLZ5	Initial population on the DTLZ5	Grid Points on the DTLZ5
Pareto Front on the DTLZ5	Initial population on the DTLZ5	Grid Points on the DTLZ5
Pareto Front on the DTLZ6	Initial population on the DTLZ6	Grid Points on the DTLZ6
Pareto Front on the DTLZ6	Initial population on the DTLZ6	Grid Points on the DTLZ6
Pareto Front on the DTLZ7	Initial population on the DTLZ7	Grid Points on the DTLZ7
Pareto Front on the DTLZ7	Initial population on the DTLZ7	Grid Points on the DTLZ7
Pareto Front on the DTLZ8	Initial population on the DTLZ8	Grid Points on the DTLZ8
Pareto Front on the DTLZ8	Initial population on the DTLZ8	Grid Points on the DTLZ8
Pareto Front on the DTLZ9	Initial population on the DTLZ9	Grid Points on the DTLZ9
Pareto Front on the DTLZ9	Initial population on the DTLZ9	Grid Points on the DTLZ9

Extended DTLZ5 I --- 2 --- Dimensionality of the true Pareto front
Reference
K. Deb and D. K. Saxena, On finding Pareto-optimal solutions through dimensionality reduction for certain large-dimensional multi-objective optimization problems, KanGAL Report 2005011, 2005.

Pareto Front on the DTLZ5IM	Initial population on the DTLZ5IM	Grid Points on the DTLZ5IM
Pareto Front on the DTLZ5IM	Initial population on the DTLZ5IM	Grid Points on the DTLZ5IM

Scaled DTLZ and Convex DTLZ2
Reference
K. Deb and H. Jain, An evolutionary many-objective optimization algorithm using reference-point based non-dominated sorting approach, part I: Solving problems with box constraints, IEEE Transactions on Evolutionary Computation, 2014, 18(4): 577-601.

Pareto Front on the SDTLZ1	Initial population on the SDTLZ1	Grid Points on the SDTLZ1
Pareto Front on the SDTLZ1	Initial population on the SDTLZ1	Grid Points on the SDTLZ1
Pareto Front on the SDTLZ2	Initial population on the SDTLZ2	Grid Points on the SDTLZ2
Pareto Front on the SDTLZ2	Initial population on the SDTLZ2	Grid Points on the SDTLZ2
Pareto Front on the CDTLZ2	Initial population on the CDTLZ2	Grid Points on the CDTLZ2
Pareto Front on the CDTLZ2	Initial population on the CDTLZ2	Grid Points on the CDTLZ2

Constrained DTLZ and Inverted DTLZ
Reference
H. Jain and K. Deb, An evolutionary many-objective optimization algorithm using reference-point based non-dominated sorting approach, part II: Handling constraints and extending to an adaptive approach, IEEE Transactions on Evolutionary Computation, 2014, 18(4): 602-622.

Pareto Front on the C1_DTLZ1	Initial population on the C1_DTLZ1	Grid Points on the C1_DTLZ1
Pareto Front on the C1_DTLZ1	Initial population on the C1_DTLZ1	Grid Points on the C1_DTLZ1
Pareto Front on the C1_DTLZ3	Initial population on the C1_DTLZ3	Grid Points on the C1_DTLZ3
Pareto Front on the C1_DTLZ3	Initial population on the C1_DTLZ3	Grid Points on the C1_DTLZ3
Pareto Front on the C2_DTLZ2	Initial population on the C2_DTLZ2	Grid Points on the C2_DTLZ2
Pareto Front on the C2_DTLZ2	Initial population on the C2_DTLZ2	Grid Points on the C2_DTLZ2
Pareto Front on the C3_DTLZ4	Initial population on the C3_DTLZ4	Grid Points on the C3_DTLZ4
Pareto Front on the C3_DTLZ4	Initial population on the C3_DTLZ4	Grid Points on the C3_DTLZ4
Pareto Front on the IDTLZ1	Initial population on the IDTLZ1	Grid Points on the IDTLZ1
Pareto Front on the IDTLZ1	Initial population on the IDTLZ1	Grid Points on the IDTLZ1
Pareto Front on the IDTLZ2	Initial population on the IDTLZ2	Grid Points on the IDTLZ2
Pareto Front on the IDTLZ2	Initial population on the IDTLZ2	Grid Points on the IDTLZ2