从判断到识别的定性映射模型与模糊人工神经元<sup>*</sup>

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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 τ_p(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 ndimension 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.

Key words： Property Proposition Judgment Qualitative Mapping w_Inner Product Transformation Conversion Degree Function Artificial Neurons Fuzzy Membership Function Pattern Recognition

Received: 30 June 2004

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FENG JiaLi. Qualitative Mapping Model from Judgment to Recognition and Fuzzy Artificial Neuron[J]. , 2006, 19(1): 35-46.

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http://manu46.magtech.com.cn/Jweb_prai/EN/ OR http://manu46.magtech.com.cn/Jweb_prai/EN/Y2006/V19/I1/35

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