Novel neural algorithms based on fuzzy δ rules for solving fuzzy relation equations : Part II

Fuzzy Sets and Systems

Volumn 103, Issue 3, 1999, Pages 473-486

  Li, Xiaozhong ^a   Ruan, Da ^a  

^a BELGIAN NUCLEAR RESEARCH CENTRE   (Belgium)

Author keywords

Fuzzy neural network; Fuzzy neuron operator; t conorm; t norm

Indexed keywords

COMPUTER SIMULATION; LEARNING ALGORITHMS; MATHEMATICAL OPERATORS; NEURAL NETWORKS;

FUZZY NEURAL NETWORKS; FUZZY NEURON OPERATORS;

FUZZY SETS;

EID: 0033131022     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00152-8     Document Type: Article

References (15)

1. [1] G.A. Carpenter, S. Grossberg, D.B. Rosen, Fuzzy ART: fast stable learning and categorization of analog patterns by an adaptive resonance system, Neural Networks 4 (1991) 759-771.
2. [2] E. Czogola, W. Pedrycz, Control problems in fuzzy systems, Fuzzy Sets and Systems 7 (1982) 257-273.
3. [3] A. Di Nola, W. Pedrycz, S. Sessa, P.Z. Wang, Fuzzy relation equations under a class of triangular norms: a survey and new results, Stochastica 8 (1984) 89-145.
4. [4] A. Di Nola, W. Pedrycz, S. Sessa, Some theoretical aspects of fuzzy relation equations describing fuzzy systems, Inform. Sci. 34 (1984) 241-264.
5. [5] G.J. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic, Theory and Applications, Prentice-Hall PTR, Englewood Cliffs, NJ, 1995.
6. [6] B. Kosko, Neural Networks and Fuzzy Systems, Prentice-Hall Inc., Englewood Cliffs, NJ, 1990.
7. [7] S.C. Lee, E.T. Lee, Fuzzy neural networks, Math, Biosci. 23 (1975) 151-177.
8. [8] X. Li, A fuzzy perceptron and its convergence theorem, Proc. 4th Internat. Conf. for Young Computer Scientists, Beijing, 1995, pp. 506-512.
9. [9] X. Li, D. Ruan, Novel neural algorithms based on fuzzy δ rules for solving fuzzy relation equations: Part I, Fuzzy Sets and Systems 90 (1997) 11-23.
10. [10] M. Miyakoshi, M. Shimobo, Solutions of fuzzy relational equations with triangular norms, Fuzzy Sets and Systems 16 (1985) 53-63.
11. [11] S.G. Romaniuk, L.O. Hall, Fuzznet, towards a fuzzy connectionist expert system development tool, Proc. IJCNN-90-WASH-DC, pp. 11-483-486.
12. [12] E. Sanchez, Resolution of composite fuzzy relation equations, Inform. and Control 30 (1976) 38-48.
13. [13] H. Takagi, I. Hayashi, Artificial-neural-network-driven fuzzy reasoning, Proc. Internat. Workshop on Fuzzy System Applications (IIZUKA-88), 1988, pp. 217-218.
14. [14] F. S. Wong, P.Z. Wang, A stock selection strategy using fuzzy neural networks, Neurocomputing 2 (1990/91) 233-242.
15. [15] T. Yamakawa, Tomoda, A fuzzy neuron and its application to pattern recognition, 3rd IFSA Congress, 1989, pp. 330-338.