title: Matrix formulation of fuzzy rule-based systems.
abstract: In this paper, a matrix formulation of fuzzy rule based systems is introduced. A gradient descent training algorithm for the determination of the unknown parameters can also be expressed in a matrix form for various adaptive fuzzy networks. When converting a rule-based system to the proposed matrix formulation, only three sets of linear/nonlinear equations are required instead of set of rules and an inference mechanism. There are a number of advantages which the matrix formulation has compared with the linguistic approach. Firstly, it obviates the differences among the various architectures; and secondly, it is much easier to organize data in the implementation or simulation of the fuzzy system. The formulation will be illustrated by a number of examples.
authors.affiliation: Dept. of Electr. & Comput. Eng., Queensland Univ., Brisbane, Qld.
authors.forename: A
authors.initials: A
authors.lastname: Lotfi
authors.forename: H C
authors.initials: HC
authors.lastname: Andersen
authors.forename: A C
authors.initials: AC
authors.lastname: Tsoi