Construction of fuzzy models through clustering techniques

In this note we will discuss fuzzy models designed with the aid of fuzzy clustering. The clustering method utilizes a generalized objective function involving a collection of linear varieties. In this way the model is distributed and consists of a series of 'local' linear-type models (based on the revealed clusters). In comparison to the algorithms existing in the literature and producing function-like models, the proposed one is of a relational character allowing for multidirectional accessibility. A detailed identification algorithm is given and illustrated with the aid of numerical examples.