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Qualitative mapping, inner product transformation of qualitative criterion, artificial neuron and pattern recognition | IEEE Conference Publication | IEEE Xplore

Qualitative mapping, inner product transformation of qualitative criterion, artificial neuron and pattern recognition


Abstract:

The qualitative mapping (QM) model for judging a property p(o) whose true value varies according to the qualitative criterion [/spl alpha/,/spl beta/], /spl tau//sub p/(x...Show More

Abstract:

The qualitative mapping (QM) model for judging a property p(o) whose true value varies according to the qualitative criterion [/spl alpha/,/spl beta/], /spl tau//sub p/(x, [/spl alpha/,/spl beta/]) is presented in this paper. The inner product transformation of qualitative criterion w/spl I.bar/[/spl alpha/,/spl beta/] and the relation between w/spl I.bar/[/spl alpha/,/spl beta/] 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.
Date of Conference: 14-14 December 2005
Date Added to IEEE Xplore: 03 January 2006
Print ISBN:0-7695-2489-3
Conference Location: Irvine, CA, USA

References

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