Hierarchical Architectures of Fuzzy Models: From Type-1 fuzzy sets to Information Granules of Higher Type

Complex phenomena are perceived from different perspectives, diversified conceptual points of view and at various levels of granularity. Symbolic and sub-symbolic processing becomes an inherently visible computing practice. Distributed nature of perception becomes reflected in topologies of multi-agent systems. All of these facets challenge the well-established paradigms of system modeling including fuzzy models and neural networks. In spite of the diversity of existing architectures and underlying algorithms, a vast majority of fuzzy models adheres to the surprisingly homogeneous principles of Granular Computing, that are associated with the processing of granular information. In this study, being cognizant of this underpinning, we concentrate on the architectures and fundamentals supporting the reconciliation and characterization of a family of fuzzy models aimed at the representation of the same system (phenomenon) from different cognitive perspectives. The variety of points of view is reflected in dif...