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 [alpha,beta], tau_p(x,[[alpha,beta]) is presented in this paper. The inner product transformation of qualitative criterion w_[alpha,beta] and the relation between w_[alpha,beta] 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 would induce two group of linear transformation which rotation centers is a pair of vertexes of qualitative criterion [betaalpha] respectively