摘要
直觉模糊信息粒度是度量直觉模糊粒结构不确定性的一种重要方法。本文针对直觉模糊信息粒度在度量直觉模糊粒结构上存在的不足进行分析。首先,介绍直觉模糊粒结构距离。其次,改进了基于偏序关系提出的直觉模糊信息粒度的公理化定义,从直觉模糊粒结构距离观点出发,以最细的直觉模糊粒结构为参照物,计算每个直觉模糊粒结构与最细的直觉模糊粒结构之间的距离,距离的值越大,这个直觉模糊粒结构的信息粒度越大。最后,通过例子验证结论的合理性。
Intuitionistic fuzzy information granularity is an significant approach to measure the uncertainty of intuitionistic fuzzy granular structure.This paper analyzes the insufficiency of the intuitionistic fuzzy information granularity that is used to measure the intuitionistic fuzzy granular structure.Firstly,the concept of intuitionistic fuzzy granular structure distance is introduced.Secondly,the axiomatic definition of intuitionistic fuzzy information granularity based on partial order relation is improved,from the point of the intuitionistic fuzzy granular structure distance,the distance between each intuitionistic fuzzy granular structure and the finest intuitionistic fuzzy granular structure is calculated by taking the finest intuitionistic fuzzy granular structure as a reference.The information granularity of this intuitionistic fuzzy granular structure is bigger,while the value of the intuitionistic fuzzy granular structure distance is larger.Finally,the rationality of the proposed conclusions is verified by the given case.
作者
杨伟萍
林梦雷
曾崇
YANG Wei-ping;LIN Meng-lei;ZENG Chong(School of Mathematics and Information Engineering,Longyan University,Longyan 364000,China;School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China)
出处
《模糊系统与数学》
北大核心
2020年第2期102-110,共9页
Fuzzy Systems and Mathematics
基金
福建省中青年教师教育科研项目(JAT170578).
关键词
直觉模糊粒结构
直觉模糊粒结构距离
广义直觉模糊信息粒度
Intuitionistic Fuzzy Granular Structure
Intuitionistic Fuzzy Granular Structure Distance
Generalized Intuitionistic Fuzzy Information Granularity
