基于直觉模糊集和区间值模糊集模糊推理算法的关系  

The relationship between fuzzy reasoning methods based on intuitionistic fuzzy sets and interval-valued fuzzy sets

作　　者：史宏艳 罗敏霞 SHI Hongyan;LUO Minxia(Colege of Sciences,China Jiliang University,Hangzhou 310018,China)

机构地区：[1]中国计量大学理学院,浙江杭州310018

出　　处：《中国计量大学学报》2022年第2期297-302,共6页Journal of China University of Metrology

基　　金：国家自然科学基金项目(No.12171445,61773019)。

摘　　要：目的:研究直觉模糊集和区间值模糊集模糊推理算法之间的关系。方法:建立由直觉模糊集和区间值模糊集构成的剩余格之间的同构映射,证明基于直觉模糊集和区间值模糊集的三角范数是一一对应的,进一步证明基于直觉模糊集和区间值模糊集的剩余蕴涵是一一对应的。结果:基于直觉模糊集和区间值模糊集的模糊推理全蕴涵三I算法解是一一对应。结论:运用具体的三角范数,得出的数值例子证明了直觉模糊推理算法与区间值模糊推理算法在本质上是等价的。Aims: This paper aims to study the relationship between fuzzy reasoning methods based on intuitionistic fuzzy sets and interval-valued fuzzy sets. Methods: The isomorphic mapping between the residual lattices composed of intuitionistic fuzzy sets and interval-valued fuzzy sets was established. It was proved that the triangular norm based on intuitionistic fuzzy sets and interval-valued fuzzy sets was one to one correspondence;and the residual implication based on intuitionistic fuzzy sets and interval-valued fuzzy sets was one to one correspondence. Results: The full implication triple I algorithm based on intuitionistic fuzzy sets and interval-valued fuzzy sets was one to one correspondence. Conclusions: By using specific triangular norm, numerical examples are obtained to prove that the intuitionistic fuzzy reasoning algorithm and the interval-valued fuzzy reasoning algorithm are equivalent in essence.

关 键 词：全蕴涵三I算法 直觉模糊集 区间值模糊集 

分 类 号：TB9[一般工业技术—计量学]