Neural net approximations to solutions of systems of fuzzy linear equations

This paper continues previous research (Buckley and Eslami, 1995, Buckley and Hayashi, 1995, Hayashi and Buckley,1996) into using neural nets to solve fuzzy problems. We show how to train neural nets, with certain sign constraints on their weights, using genetic algorithms, to approximate solutions to systems of fuzzy linear equations. This paper presents a new application of layered, feedforward, neural nets with sign restrictions on their weights.

[1]  James J. Buckley,et al.  Neural net solutions to fuzzy linear programming , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[2]  J. Buckley Joint solution to fuzzy programming problems , 1995 .

[3]  J. Buckley,et al.  Backpropagation and genetic algorithms for training fuzzy neural nets , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[4]  James J. Buckley,et al.  Neural net solutions to fuzzy problems: The quadratic equation , 1997, Fuzzy Sets Syst..

[5]  Kevin D. Reilly,et al.  Genetic learning algorithms for fuzzy neural nets , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[6]  J. Buckley,et al.  Solving fuzzy equations using neural nets , 1995, Proceedings of 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society.

[7]  J. Buckley,et al.  Solving systems of linear fuzzy equations , 1991 .