Title :
A novel neural algorithm and its application in solving fuzzy relation equations
Author :
Li, Xiaozhong ; Da Ruan
Author_Institution :
Belgian Nucl. Res. Centre, Mol, Belgium
Abstract :
We propose a novel algorithm for solving various types of fuzzy relation equations. The algorithm is based an a special designed fuzzy neuron. This fuzzy neuron is founded by replacing some operators of the traditional neuron with a pair of abstract fuzzy operators which we call fuzzy neuron operators. We also discuss the relationship between the fuzzy neuron operators and t-norm/t-conorm, and point out that fuzzy neuron operators are based on t-norm but much wider than t-norm. Finally, we report some simulation results with some typical compositional operators
Keywords :
fuzzy neural nets; abstract fuzzy operators; compositional operators; fuzzy neuron operators; fuzzy relation equations; neural algorithm; t-conorm; t-norm; Algorithm design and analysis; Analytical models; Character generation; Decision making; Equations; Fuzzy control; Fuzzy neural networks; Fuzzy systems; Neural networks; Neurons;
Conference_Titel :
Fuzzy Information Processing Society, 1997. NAFIPS '97., 1997 Annual Meeting of the North American
Conference_Location :
Syracuse, NY
Print_ISBN :
0-7803-4078-7
DOI :
10.1109/NAFIPS.1997.624066