Detection of structural breaks in time series using fuzzy techniques

Abstract

In this paper we suggest to use special "fuzzy" techniques for detection of structural breaks in time series, namely the fuzzy (F)-transform and one method of fuzzy natural logic (FNL). The idea is based on application of the F1-transform which makes it possible to estimate effectively slope of time series (ignoring its possible volatility) and its evaluation by a suitable evaluative linguistic expression. The method is computationally very effective.