Time series represented by means of fuzzy piecewise lineal segments

The aim of this paper is to represent time series in a fuzzy way by means of a piecewise linear segment method that represents the time series in an efficient way. But in addition, this representation collects the uncertainty generated in the process of generation of the segments. This representation can be used, for instance, to compare time series or to query information from these. That is why in this approach we also propose a method to compare different parts of the output, obtaining as result a dissimilarity value representing how close their outputs are. Several tests have been done in order to know if input time series are represented correctly with this method and to know if the comparison process obtains the expected results. The input data selected for the tests is the real data obtained from the electric consumption of three buildings from the campus in the city of Toledo of our university.