Qualitative Mapping and Artificial Neuron

The Qualitative Mapping(QM) model for judging a property p(o) whose true value varies according to the qualitative criterion [α,β],τp(x,[α,β]) is presented in this paper. The inner product transformation of qualitative criterion w_[α,β] and the relation between w_[α,β] and artificial neuron is discussed. It is shown that an artificial neuron is just a boundary of a Qualitative Mapping, and the inner product transformation of qualitative criterion will induce two group of linear transformation which rotation centers is a pair of vertexes of qualitative criterion [β,α] respectively.