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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. By the the intercept form of artificial neuron, we prove that an AN is just a boundary of a qualitative mapping, and if a neighborhood is closed by a group of artificial neurons induced by a group inner product transformations, then the qualitative mapping whose criterion is the closed neighborhood is equivalent to the artificial networks which consists of the group of them.
Multimedia, Seventh IEEE International Symposium on
Date of Conference: 12-14 Dec. 2005