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Multi-objective optimization is an important and challenging topic in the field of industrial design and scientific research because real-world problems usually involve several conflicting objectives. Since a multi-objective evolutionary algorithms (MOEA) is able to obtain an approximation to the Pareto optimal set and provide substantial information of the tradeoff between objectives, it is becoming...
In this paper a theory of index sum of equilibrium points of neural networks described by ordinary differential equations is presented. First a framework for index sum of equilibrium points of bounded dynamical systems is established, then a formula of index sum of equilibrium points of neural networks described by ordinary differential equations is discussed by virtue of the established framework,...
Considering various seasons differs greatly in runoff distribution, a new runoff forecasting method based on fuzzy clustering analysis on forecasting factor set is presented in this paper. Firstly, the historical runoff data are classified as four categories by fuzzy C-means clustering. Then partial forecasting models between the factor set and measured data are respectively established by using wavelet...
ldquoJoint-generdquo concept is introduced as ldquochangeable structural elementsrdquo in metamorphic mechanisms comparing with the gene in biology. The joint-gene based variable topological representation is proposed, and the method and procedures for the configuration transformations are presented based on the topological representation. First, the joint-gene modules, which have 4 non-zero elements...
This paper demonstrates chaos in Hopfield neural networks (HNNS) for certain value assigned to the connection matrix. Based on the topological horseshoe theory and elementary symbolic dynamics, a rigorous computer-assisted verification is offered.
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