Abstract: Fuzzy implications play a fundamental role in fuzzy logic and approximate reasoning, and the construction of fuzzy implications is an important research topic in related fields. [(I,A)]-operators are constructed based on fuzzy implications [I] and aggregation operators [A]. The conditions under which [(I,A)]-operators are fuzzy implications are inverstigated, and the basic properties of [(I,A)]-implications are discussed, including distributivity over overlap functions and grouping functions and law of importation.

Key words: fuzzy implication;aggregation operator, [(I,A)]-implication;distributivity, law of importation

摘要： 模糊蕴涵在模糊逻辑和近似推理领域中发挥着十分重要的作用，模糊蕴涵的构造是相关领域中的重要研究课题。基于模糊蕴涵[I]和聚合算子[A]构造出[(I,A)]-算子，研究[(I,A)]-算子成为模糊蕴涵的条件，其次研究[(I,A)]-蕴涵包括分配性和输入性在内的一些基本性质。

关键词: 模糊蕴涵, 聚合算子, [(I, A)]-蕴涵, 分配性, 输入律