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

摘要

In the paper, the fuzzy connection networks related to max-min fuzzy Hopfield networks are introduced to analyze the attractors and attractive cycles of the max-min networks. The elementary memories are employed to improve fault-tolerance of the networks. Some sufficient and necessary conditions that an attractor is the elementary memory of the networks are shown. Homomorphism operators on [0,1]" are utilized to study the transitive trajectories of the states, attractors and attractive cycles of max-min Hopfield networks. By the conclusions obtained here, a novel way for designing fuzzy neural networks with better fault-tolerance may be constructed.