Multiresolution Analysis and Fuzzy Indistinguishability Operators: a first approach

摘要

There exists a strong conceptual relation between Multiresolution Analysis, a theory mainly used in Wavelet Theory, and Indistinguishability Operators, a theory mainly used in Fuzzy Sets Theory. In this work a first approach to find a formal link between both theories is tried. It will be shown that, in some cases, a multiresolution analysis allows to build a family of Indistinguishability Operators with an analogous axiomatic framework.