一个新的直觉模糊蕴涵算子

A New Intuitionistic Fuzzy Implication Operator

在直觉模糊集理论基础上,结合模糊蕴涵的概念,构造了一个新的蕴涵算子,证明了该算子满足边界性、正则性、单调性等一些重要性质.在此基础上,证明了该蕴涵算子和直觉模糊交运算可构成直觉模糊剩余格.

A new implication operator is constructed by combining the concept of fuzzy implication based on the theory of intuitionistic fuzzy sets.It has been proved that the operator satisfies some important properties such as boundary,regularity,and monotone.On this foundation,it is proved that this implication operator and intuitionistic fuzzy intersection operation can form the intuitionistic fuzzy residuated lattice.