广义模糊集之间关系的研究

摘要

Fuzzy sets have been generalized to a variety of forms; there are both differences and close relation between the promotion of fuzzy sets. In this paper, the relationship between them is studied, it focuses on the relationship between type-2 fuzzy sets and interval-value fuzzy sets, hesitant fuzzy sets and intuitionistic fuzzy sets etc. The development of type-2 fuzzy sets is discussed, that is, the relationship between type-2 intuitionistic fuzzy sets, the interval-value intuitionistic fuzzy sets and dual hesitant fuzzy sets, etc. In addition, the basic operation of type-2 fuzzy sets and hesitant fuzzy sets, etc is studied, and is verified by an example.%模糊集已经被推广到了多种形式，这些推广的模糊集之间既有区别又有着密切的联系。本文对它们之间的关系进行研究，重点讨论二型模糊集与区间值模糊集、犹豫模糊集和直觉模糊集等集合之间的关系；又进一步讨论拓展的二型模糊集即二型直觉模糊集与区间直觉模糊集、对偶犹豫模糊集等集合之间的关系；此外对二型模糊集和犹豫模糊集等集合的基本运算及其之间关系进行研究，并通过实例进行验证。