Abstract It is shown that a judgment of property (proposition) based on the conversion of a quantity of a attribute a(o) x into a property p(x,o) of a(o), whose judging result or the truth value of property varies according to its qualitative criterion [α,β], can be extracted as a dynamic Qualitative Mapping τp(x,[α,β]) whose parameter is criterion [α,β]. Several QM definitions are respectively given whose qualitative criteria are a interval, a vector of intervals and a grid of ndimension parallelepiped. The geometric mean that a weight w acting on the qualitative criterion [α,β], the relation between a qualitative mapping and an artificial neuron, the mechanism and the condition that a qualitative mapping for judging truth value of property converted into a pattern recognition mapping are respectively discussed. Furthermore, the degree function that a quantity of an attribute converted into a quality or a property and a mechanism fuzzized the boundary of qualitative criterion are presented too. And it’s shown that if qualitative mapping is substituted by a fuzzized conversion degree function respectively the judgment and recognition would be fuzzy. And a series of examples to test the validity of qualitative mapping and conversion degree function are given.
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2006, Vol. 19 
