Human perception is finely tuned to extract structure about the 4D world of time and space as well as properties such as color and texture. Developing intuitions about spatial structure beyond 4D requires exploiting other perceptual and cognitive abilities. One of the most natural ways to explore complex spaces is for a user to actively navigate through them, using local explorations and global...

Data mining offers an effective solution to product and process diagnosis in that it requires no additional equipment or capital investment and it does not cause interruption to production and operations. The most important role of data mining is the ability to separate data into different classes so that an accurate model can be built for fault detection, recognition and prediction. The propos...

The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a crisp quasi-uniformity. This process, based on previous works due to Morsi cite{Morsi94} and Georgescu cite{Georgescu08}, allows to extend probabilistic and Hutton $[0,1]$-quasi-uniformities on a set $X$ to its power set.  In this way, we obtain an endofunctor for each one of the c...

Let X be a metric continuum and n positive integer. Fn (X) the hyperspace of nonempty subsets with at most points. If 0 < m n, we consider quotient space Fnm = (X)/Fm (X). Given mapping f from into X, induced mappings fn fnm In this paper study relations among dynamics f, fn, answer some questions, by F. Barragán, A. Santiago-Santos J. Tenorio, related to properties: minimality, irreducibili...

The theory of graphons is ultimately connected with the so-called cut norm. In this paper, we approach norm topology via weak* (when considering a predual $L^{1}$-functions). We prove that sequence $W_1,W_2,W_3,\ldots$ converges in distance if and only have equality sets accumulation points limit all sequences $W_1',W_2',W_3',\ldots$ are weakly isomorphic to $W_1,W_2,W_3,\ldots$. further give s...