广义的直觉模糊蕴涵及剩余格

摘要

直觉模糊蕴涵是直觉模糊推理的重要基础,为直觉模糊集在不确定信息系统下推理和决策中的应用提供了理论基础.对直觉模糊蕴涵进行了研究.首先回顾了直觉模糊的有关基础知识,在此基础上构造了一种新的广义的直觉模糊蕴涵,证明了其单调性、边界性等系列重要性质,最后证明了该蕴涵可构成直觉模糊剩余格.%Intuitionistic fuzzy implication plays an important role in the intuitionistic fuzzy reasoning, and provides basic theory for applications of the uncertain reasoning and decision-making. The instuitionistic fuzzy implication was researched. The basic knowledge of the intuitionistic fuzzy was firstly reviewed,a new kind of the generalized intuitionistic fuzzy implication was constructed,and its properties were proved, such as its monotonicity law and boundary, etc. Furthermore, it was proved that the implication can construct the intuitionistic fuzzy residuated lattice.