Sentence examples for effects of the normalization from inspiring English sources
Further examination of positive effects of the normalization for such a test problem is also an interesting future research topic.
Further examinations are needed for evaluating positive and negative effects of the normalization on the performance of those recently proposed many-objective algorithms.
This observation suggests the existence of positive effects of the normalization even for test problems that do not need any normalization.
Comparison between Fig. 6a without normalization and Fig. 7b with normalization shows clear positive effects of the normalization when (varepsilon ) is specified as (varepsilon = 1).
Let us examine the search behavior of MOEA/D with the simple normalization mechanism ((varepsilon = 10^{-6})) on the ten-objective DTLZ1 and WFG9 test problems, where the negative effects of the normalization are severe, as shown in Table 1.
Our experimental results on the newly created deceptive rescaled DTLZ1-4 test problems suggest the existence of negative effects of the normalization on the performance of not only MOEA/D but also NSGA-III and (theta )-DEA.
(Additional file 1: Figure S1) and (Additional file 1: Figure S2) show M versus A plots for a typical simulation including unique genes and DE genes and indicate the normalization effects of the IMM normalization and the TMM normalization.
