多粒度广义近似空间的模糊粗糙集  

A Fuzzy Rough Set in Multi-granulation Generalized Approximation Space

作　　者：孙文鑫[1] Sun Wenxin(College of General Education,Chongqing Water Resources and Electric Engineering College,Yongchuan 402160,China)

机构地区：[1]重庆水利电力职业技术学院通识教育学院,重庆永川402160

出　　处：《洛阳师范学院学报》2023年第2期1-5,共5页Journal of Luoyang Normal University

基　　金：重庆市教委科学技术研究计划项目(KJQN202003806)。

摘　　要：针对多粒度广义近似空间中各元素之间关联度的问题,给出了元素之间相似度以及论域上相似矩阵的概念.结合粗糙集和模糊集理论,构建了多粒度广义近似空间中的模糊粗糙集模型并讨论了多粒度广义近似空间中的模糊粗糙下、上近似算子的性质.最后研究了多粒度广义近似空间中模糊粗糙的精确度和粗糙度.This paper defined the concept of similarity between elements and the concept of similarity matrix to explain the correlation degree between elements in multi-granularity generalized approximation space.Applying the theory of rough set and fuzzy set,this research conducted the model of fuzzy rough set in the multi-granularity generalized approximation space,and discussed the properties of lower and upper approximation operators in the fuzzy rough.Finally,this paper explored the accuracy and roughness of the fuzzy rough in multi-granularity generalized approximation space.

关 键 词：多粒度广义近似空间 粗糙集 模糊粗糙集 度量 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]