D-蕴涵的特征

On the Characterizations of D-implications

鉴于D-算子在模糊逻辑中的重要意义,本文比较深入地研究这类算子的性质,并给出这类算子的一些特征。特别地,我们通过增加限制条件,给出D-算子成为模糊蕴涵的充要条件。我们还分别得到D-蕴涵满足交换原则,单位原则,序性质,以及输入律的条件。

Because of the importance of D-operation in fuzzy logic, the definition and basic properties of D-operation are researched thoroughly in this paper. At the same time, we get some characterizations of D-implications. By imposing some conditions on the underlying operations, we investigate the conditions under which a D-operation becomes a fuzzy implication. Meanwhile, the conditions when D-implications meet the exchange principle, the identity principle, the ordering property and law of importation are studied.