A fuzzy linear approach to recognising signal profiles

In other papers we have introduced the model of Fuzzy Temporal Profile (FTP) [4] through which we describe the evolution of a particular physical parameter V over time. Following this model an approximation to the evolution curve by means of sections between a set of significant points (X₀,X₁,...,X_n) is defined. Each section is defined by way of an imprecise constraint on duration, on increase in value and on slope between the points connected by the section.In a previous paper [5] we presented a method of matching which analyses the occurrence of certain signal events associated to a particular temporal instant, given by a fuzzy predicate, and a certain condition of value, given, in the same manner, by a fuzzy predicate. In this paper we go beyond this, tackling the following problem: given an FTP and a signal representing the evolution of a certain system, to find the degree of compatibility between the profile and a piece of this signal, and the most possible locations in the global evolution.