Matrix formulation of fuzzy rule-based systems

Lotfi, A. ORCID: 0000-0002-5139-6565, Andersen, H.C. and Tsoi, A.C., 1996. Matrix formulation of fuzzy rule-based systems. IEEE Transactions on Systems, Man and Cybernetics, Part B - Cybernetics, 26 (2), pp. 332-340. ISSN 1083-4419

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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.

Item Type: Journal article
Publication Title: IEEE Transactions on Systems, Man and Cybernetics, Part B - Cybernetics
Creators: Lotfi, A., Andersen, H.C. and Tsoi, A.C.
Publisher: IEEE Institute of Electrical and Electronics
Date: 1996
Volume: 26
Number: 2
ISSN: 1083-4419
Divisions: Schools > School of Science and Technology
Record created by: EPrints Services
Date Added: 09 Oct 2015 09:45
Last Modified: 09 Jun 2017 13:09

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