Some sets of indistinguishability operators as multiresolution families

Abstract

Multiresolution is a general mathematical concept that allows us to study a property by means of several changes of resolution. From axed resolution, a coarser projection can be calculated and then the changes between aner resolution and a coarser one can be studied. That information can give a good knowledge about the problem under consideration. Also using multiresolution techniques it is possible to present information with a higher or a lower detail, given a way to get the adequate granularity or abstraction for a context. The granularity of a system can be obtained or modeled by the use of indistinguishability operators. In this work the relation between in-distinguishability operators and multiresolution theory is studied and diferent methods to build families of indistinguishability operators with multiresolution capacities are given.