A grey-based clustering method was proposed and applied on fuzzy system design. A new grey-clustering algorithm using grey relational analysis as the similarity measure was developed for data clustering. It was more effective and accurate than C-Means like algorithms when dealing with data clustering issue, when the compact and complete separate data were considered. Some data clustering examples are presented to illustrate the effectiveness of the proposed clustering algorithm. Next, an application of the proposed method on fuzzy system design is presented. The procedure of fuzzy system design can be separated into two parts. In the first procedure, the grey-clustering algorithm was employed to form a rough fuzzy system only from gathered input-output data. Then, the gradient descent method was used to determine a suitable parameter set of the formed fuzzy system. A nonlinear system modelling and an inverted pendulum control problem were then used to illustrate the validity of the proposed fuzzy system design procedure.
International Journal of Systems Science 34(4), pp.269-281