广义多粒度双量化邻域粗糙集  

Generalized Multi-granularity Double-quantization Neighborhood Rough Set

作　　者：孙文鑫[1] SUN Wen-xin(Chongqing Water Resources and Electric Engineering College,Yongchuan,Chongqing 402160,China)

机构地区：[1]重庆水利电力职业技术学院,重庆永川402160

出　　处：《兰州文理学院学报（自然科学版）》2024年第3期15-23,共9页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：2023年重庆市教委科学技术研究计划项目(KJQN202303811);重庆水利电力职业技术学院2022科研项目(K202215)。

摘　　要：针对实数型数据的信息量化问题,引入相对概念和绝对基数构建了广义多粒度双量化邻域粗糙集模型.首先,通过I型和II型广义多粒度上、下邻域特征支撑函数构建两类广义多粒度上、下邻域近似算子并讨论其性质;其次,讨论了两种广义多粒度邻域粗糙集的关系;最后,通过传染病案例实证分析了模型的实用性和有效性.The generalized multi-granularity double-quantization neighborhood rough set model is constructed by introducing relative concept and absolute cardinality,aiming at the problem of information quantization of real data.Firstly,two kinds of generalized multi-granularity upper and lower neighborhood approximation operators are constructed by type I and type II generalized multi-granularity upper and lower neighborhood characteristic support functions,secondly,the relationship between two kinds of generalized multi-granularity neighborhood rough sets is discussed,finally,the practicability and validity of the model are analyzed by the case of infectious diseases.

关 键 词：广义多粒度粗糙集 双量化 邻域粗糙集 传染病 

分 类 号：O236[理学—运筹学与控制论]