Interval-valued fuzzy associative memories based on representable conjunctions with applications in prediction

The mathematical foundations of fuzzy morphological associative memories (FMAMs) can be found in mathematical morphology on complete lattices that include the class of fuzzy sets over a certain universe as a special case. The advent of type-2 fuzzy systems suggests the development of type-2 FMAMs and in particular interval-valued (type-2) FMAMs since the classes of general type-2 fuzzy sets and interval-valued fuzzy sets over a certain universe form complete lattices. For the sake of mathematical and computational simplicity, we employ representable conjunctions of interval-valued fuzzy set theory to define interval-valued FMAMs (IV-FMAMs) in this paper. Finally, we apply the resulting IV-FMAM models to a problem of monthly streamflow prediction of a large Brazilian hydro-electric plant.