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In this paper, we investigate dynamical complexity of general planar piecewise isometries. We reveal the relations between the complexity and the admissible finite words generated by a planar piecewise isometry, and present the necessary and sufficient conditions for the complexity to be zero. Furthermore, we give equivalent statements for the complexity to be not less than 1, and also discuss some...
Linguistic fuzzy modeling in high dimensional regression problems is a challenging topic since conventional linguistic fuzzy rule-based systems suffer from exponential rule explosion when the number of variables and/or data examples becomes high. A good way to face this problem is by searching for a good and simple global structure within the same process, in order to consider the relationships among...
In this paper, a new symmetry-based genetic clustering algorithm is proposed which automatically evolves the number of clusters as well as the proper partitioning from a data set. Strings comprise both real numbers and the don't care symbol in order to encode a variable number of clusters. Here, assignment of points to different clusters are done based on a point symmetry (PS)-based distance rather...
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