给出了基于模糊综合评判的标书选择问题的数学模型，以及模糊关系合成运算的具体算法。
The mathematics model of bid documents evaluation problem based Fuzzy Integrated evaluation and the Fuzzy Relation Synthetic is presented in details.
医学知识存储在症状与疾病的模糊关系上。推理时使用模糊关系合成的方法。对基于规则的神经网络方法，从规则集中自动构造网络的结构，确定隐层节点数和连接权值。
The clinic knowledge is stored in the fuzzy relations between disease condition and the all correlative disease, and It can get the clinical diagnosis from these fuzzy relations by synthesizing.
网络的输入输出均为模糊集，训练后的网络能完成合成关系，即模糊推理。
The input and output of the network are fuzzy sets, and the network can complete composite relation after training, namely fuzzy reasoning.
用关系合成的模糊推理方法，实现了扩展决策规则集的决策推理。
Decision inference of the extended decision rules was implemented using fuzzy CRI (compositional rule of inference).
模糊关系与算子合成构成了模糊映射，即将模糊集映射为模糊集。
The composite operation of fuzzy relation and operator constitute the fuzzy mapping.
模糊关系与算子合成构成了模糊映射，即将模糊集映射为模糊集。
The composite operation of fuzzy relation and operator constitute the fuzzy mapping.
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