Interval-valued fuzzy morphological associative memories: Some theoretical aspects and applications

Fuzzy morphological associative memories (FMAMs) are generalizations of many well-known fuzzy associative memory (FAM) models from the literature and have been employed to implement fuzzy rule-based systems. Inspired by the advent of type-2 fuzzy systems and in particular interval type-2 fuzzy systems, we present some theoretical foundations of interval-valued fuzzy morphological associative memories (IV-FMAMs), whose weight matrices can be constructed using representable interval-valued fuzzy operators, and we introduce a novel IV-FMAM approach towards interval type-2 fuzzy inference systems. The paper also includes some experimental results in non-linear function identification as well as time series prediction. These results are compared with the ones produced by some interval and general type-2 fuzzy models from the recent literature.