Neuro-fuzzy relational systems for nonlinear approximation and prediction Original Research Article

There are many machine learning systems developed so far. Fuzzy systems along with neural network are the most commonly used learning systems. Researchers mainly use Mamdani (linguistic) and Takagi Sugeno fuzzy systems, and in the paper, relational neuro-fuzzy systems are proposed for better flexibility. Linguistic systems store an input–output mapping in the form of fuzzy IF-THEN rules with linguistic terms both in antecedents and consequents. Relational fuzzy systems bond input and output fuzzy linguistic values by a binary relation thus fuzzy rules have additional weights. Thanks to this the system is better adjustable to learning data. Described systems are tested on several known benchmarks and compared with other machine learning solutions from the literature.