Algebraic neuro-fuzzy systems and applications

The usual fuzzy neural networks are based on fuzzy logic operations.. In this chapter, we present several fuzzy neural networks based on fuzzy arithmetics and fuzzy analysis. The algebraic and analytic fuzzy neural networks demonstrate a significant potential in solving problems that involve numeraical imprecision. Several applications are illustrated and discussed.

[1]  Madan M. Gupta,et al.  On the principles of fuzzy neural networks , 1994 .

[2]  H. Ishibuchi,et al.  A learning algorithm of fuzzy neural networks with triangular fuzzy weights , 1995 .

[3]  Jean-Louis Coatrieux,et al.  3D Reconstruction of Cerebral Blood Vessels , 1985, IEEE Computer Graphics and Applications.

[4]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[5]  Hahn-Ming Lee,et al.  A multiclass neural network classifier with fuzzy teaching inputs , 1997, Fuzzy Sets Syst..

[6]  Paul Suetens,et al.  3D reconstruction of the blood vessels of the brain from a stereoscopic pair of subtraction angiograms , 1983, Image Vis. Comput..

[7]  Thomas Feuring,et al.  The fuzzy neural network approximation lemma , 1999, Fuzzy Sets Syst..

[8]  Bart De Moor,et al.  Implementation and Applications , 1996 .

[9]  Ying Sun,et al.  Fully automated reconstruction of three-dimensional vascular tree structures from two orthogonal views using computational algorithms and productionrules , 1992 .

[10]  Edward T. Lee,et al.  Fuzzy Sets and Neural Networks , 1974 .

[11]  Ronald E. Giachetti,et al.  Analysis of the error in the standard approximation used for multiplication of triangular and trapezoidal fuzzy numbers and the development of a new approximation , 1997, Fuzzy Sets Syst..

[12]  Hideo Tanaka,et al.  An architecture of neural networks for input vectors of fuzzy numbers , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[13]  Minho Lee,et al.  Neuro-Fuzzy Identifiers and Controllers , 1994, J. Intell. Fuzzy Syst..

[14]  King-Sun Fu,et al.  A Formulation of Fuzzy Automata and Its Application as a Model of Learning Systems , 1969, IEEE Trans. Syst. Sci. Cybern..

[15]  James J. Buckley,et al.  Hybrid neural nets can be fuzzy controllers and fuzzy expert systems , 1993 .

[16]  Choraian Og.  Description of neuron ensembles in terms of the theory of fuzzy sets , 1981 .

[17]  Abraham Kandel,et al.  Analytic fuzzy RBF neural network , 1998, 1998 Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.98TH8353).

[18]  Jaime Gil Aluja,et al.  Grafos neuronales para la economía y la gestión de empresas , 1995 .

[19]  Edward T. Lee,et al.  Fuzzy Neural Networks , 1975 .

[20]  Lakhmi C. Jain,et al.  Soft computing in human-related sciences , 1999 .

[21]  Sankar K. Pal,et al.  Fuzzy models for pattern recognition , 1992 .

[22]  James M. Keller,et al.  Incorporating Fuzzy Membership Functions into the Perceptron Algorithm , 1985, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[23]  Ying Sun,et al.  Automated 3D reconstruction of tree-like structures from two orthogonal views , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[24]  W. R. Adey.  Neurophysiological Estimates of Human Performance Capabilities in Aerospace Systems , 1976 .

[25]  Adapted gradient algorithm for algebraic fuzzy neural networks , 1996, 1st International Symposium on Neuro-Fuzzy Systems, AT '96. Conference Report.

[26]  Ying Sun,et al.  Back-propagation network and its configuration for blood vessel detection in angiograms , 1995, IEEE Trans. Neural Networks.

[27]  Ying Sun,et al.  Reconstruction of 3-D Binary Tree-Like Structures From Three Mutually Orthogonal Projections , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[28]  Minho Lee,et al.  Neuro-Fuzzy Identifiers and Controllers for Fuzzy Systems , 1993 .

[29]  W. R. Adey,et al.  Organization of brain tissue: is the brain a noisy processor? , 1972, The International journal of neuroscience.

[30]  R H Stevens,et al.  Artificial neural networks as adjuncts for assessing medical students' problem solving performances on computer-based simulations. , 1993, Computers and biomedical research, an international journal.

[31]  Takeshi Yamakawa,et al.  Neuro-fuzzy systems: hybrid configurations , 1996 .