A novel fuzzy neural network: the vague neural network

Fuzzy neural network that combines the artificial neural network and fuzzy logic is regarded as one of promising intelligent system. Based on fuzzy theory, fuzzy neural network has its problems: fuzzy membership function is a single value which combines the evidence for and against the pattern without indicating how much there is of which, hence it cannot get the more reasonable result of classification and recognition. Vague sets is characterized by a truth-membership function and a false-membership function which can solve the problem. Based on the idea of vague set theory, in this paper, a new kind of FNN: vague neuron network (VNN) is put forward, the properties are discussed. Then the VNN is applied to the problem of fault diagnosis and shows good performance.