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On the Functional Equivalence of Fuzzy Inference Systems and Spline-based Networks

On the Functional Equivalence of Fuzzy Inference Systems and Spline-based Networks
On the Functional Equivalence of Fuzzy Inference Systems and Spline-based Networks
The conditions under which spline-based networks are functionally equivalent to the Takagi-Sugeno model of fuzzy inference are formally established. We consider a generalised form of basis function network whose basis functions are splines. The result admits a wide range of fuzzy membership functions which are commonly encountered in fuzzy systems design. We use the theoretical background of functional equivalence to develop a hybrid fuzzy-spline net for inverse dynamic modelling of a hydraulic driven robot manipulator.
171-184
Hunt, K.J.
532666af-4460-4554-9088-46a7805d84ba
Haas, R.
d1ea5203-86bc-4d93-b47f-94b6d78e1150
Brown, M.
52cf4f52-6839-4658-8cc5-ec51da626049
Hunt, K.J.
532666af-4460-4554-9088-46a7805d84ba
Haas, R.
d1ea5203-86bc-4d93-b47f-94b6d78e1150
Brown, M.
52cf4f52-6839-4658-8cc5-ec51da626049

Hunt, K.J., Haas, R. and Brown, M. (1995) On the Functional Equivalence of Fuzzy Inference Systems and Spline-based Networks. International Journal of Neural Systems, 6 (2), 171-184.

Record type: Article

Abstract

The conditions under which spline-based networks are functionally equivalent to the Takagi-Sugeno model of fuzzy inference are formally established. We consider a generalised form of basis function network whose basis functions are splines. The result admits a wide range of fuzzy membership functions which are commonly encountered in fuzzy systems design. We use the theoretical background of functional equivalence to develop a hybrid fuzzy-spline net for inverse dynamic modelling of a hydraulic driven robot manipulator.

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Published date: 1995
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 250217
URI: https://eprints.soton.ac.uk/id/eprint/250217
PURE UUID: b11472e4-2556-4d59-b840-437aa15aea88

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Date deposited: 04 May 1999
Last modified: 22 Oct 2018 16:33

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