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Robust results do not lie on the Pareto optimal curve.
The curves show that SUS completely overlaps the optimal curve.
We include a theoretical and a numerical optimal curve.
Finally, a method to obtain the optimal curve equation is put forward and verified.
Linear and non-linear least squares methods were applied to find the optimal curve fitting.
The solution procedure yields to Pareto optimal curve for two conflicting objectives.
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The result of the model is a set of pareto optimal curves that can be used for decision making.
Assuming that the data for smoothing is obtained by sampling some curve with noises, an expression for optimal curves is derived when the number of data becomes infinity.
Finally, if we analyze the Pareto optimal curves as a function of and, we can easily obtain that the relative importance of two parameters is controlled by.
For the sake of clarity, this figure shows optimal curves when all the legs have the same absolute value of inclination, and a body inclination range between −30° and 30°.
Based on this solution, the optimization of the parabolic bars is made to obtain the maximum Bragg resonance and a group of optimal curves, which may be very useful in the design of Bragg breakwaters with parabolic bars.
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