FATI与FITA的等价性

EQUIVALENCE OF FATI AND FITA METHODS

在模糊系统中,给定一组推理规则,可以先把这组规则聚合为一个超规则,然后依此超规则进行推理,也可先分别依据各给定规则进行推理,然后将所得结果进行聚合.本文讨论分别利用CRI算法与三I算法进行推理时,上述2种方法的等价性问题.证明了当聚合取并运算且用CRI算法进行推理时,FATI与FITA方法等价,而对三I算法只有在恰当选择蕴涵算子时,2种方法才能等价;当聚合取交运算且用CRI算法和三I算法进行推理时,FATI与FITA方法不一定等价.

When a group of inference rules are given, one can first aggregate the rules to obtain one super rule and infer by using this super rule. On the other hand, one can also infer by using the rules one by one and then aggregate obtained results. This paper discusses the equivalence of these two methods, with fuzzy inference using CRI algorithm and triple I method respectively.