Abstract: The method using SVD to rebuilding PSG fuzzy model is presented in this paper,in new model,the number of fuzzy rules is reduced.In terms of the property of singular values,an approximation of matrix Ω,which is conducted by consequents of fuzzy rules,is obtained by selecting proper singular values of Ω.Using the approximation of Ω,a new rule base is constructed.Generally,the dimension of imput variables in new rule base is smaller than in original one,thus,the size of rule base is reduced effectively.Finally,a numerical example with simulations is given to demonstrate the method discussed throughout this paper.

Key words: PSG fuzzy model, rule base, SVD(singular value decomposition), reduction