Analyses of equilibrium by fuzzy connection networks related to max-min fuzzy Hopfield networks

In the paper, the fuzzy connection networks related to max-min fuzzy Hopfie ld networks are introduced to analyze the attractors and attractive cycles of the max-min networks. The elementary memories are employed to improve fa ult-tolerance of the networks. Some sufficient and necessary conditions tha t an attractor is the elementary memory of the networks are shown. Homomorp hism operators on [0.1]" are utilized to study the transitive trajectories of the states, attractors and attractive cycles of max-min Hopfield network s. By the conclusions obtained here, a novel way for designing fuzzy neural networks with better fault-tolerance may be constructed. (C) 2001 Elsevier Science B.V. All rights reserved.