摘要
多粒度粗糙集模型是经典粗糙集模型的一种重要扩展形式,在多粒度粗糙集模型概念中,有乐观和悲观两种形式。本文先把Pawlak粗糙近似算子的格结构拓展到基于一般二元关系的粗糙近似算子的格结构,然后进一步拓展到基于一般二元关系的多粒度粗糙近似算子的格结构,主要给出基于一般二元关系的悲观多粒度粗糙近似算子的格结构。
Multigranulation rough set model is an important extension of classical rough set model.In the concept of multigranulation rough set model,there are two forms:optimistic and pessimistic.In this paper,the lattice structure of Pawlak rough approximation operators is extended to the lattice structire of rough approximation operators based on general binary relation,and further extended to the lattice structure of multigranulation rough approximation operators based on general binary relation.The lattice structure of pessimistic multigranulation rough approximation operators based on general binary relation is mainly gived.
作者
宋巧玲
赵虎
张红英
SONG Qiao-ling;ZHAO Hu;ZHANG Hong-ying(School of Science,Xian Polytechnic University,Xi'an 710048,China;Department of Basic,Xi'an Siyuan University,Xi'an 710038,China;School of Mathematics and Statistics,Xi'an Jiaotong University,Xi'an 710049,China)
出处
《模糊系统与数学》
北大核心
2022年第4期143-150,共8页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(12171386)
陕西省教育厅科研计划项目(18JK0360)
西安工程大学博士科研启动基金资助项目(BS1426)
青海省应用基础研究项目(2019-ZJ-7078)
。
关键词
多粒度粗糙集模型
一般二元关系
粗糙近似算子
完备格
Multigranulation Rough Set Model
General Binary Relation
Rough Approximation Operator
Complete Lattice
