Wavelet transforms: Application to data analysis - II
In this article, we elaborate upon the key ideas underlying the construction of various wavelet basis sets. The roles of translation and scaling, which enable the wavelets to localize variations at desired levels of resolution, are clearly brought out. After explaining the implementation of one dimensional wavelet transform, we illustrate their usefulness through the analysis of a data set.
The study of the stability of many stochastic processes as Markov chains needs sometimes to use eigenvalues and eigenvectors of the transition matrix. This paper is an investigation on a methodology which computes fuzzy eigenvalues and fuzzy eigenvectors within the context of a fuzzy Markov chain transition matrix, under max-min composition.