基于粒度矩阵的程度多粒度粗糙集粒度约简 / Granulation reduction of graded multi-granulation rough set based on granulation matrix
- Resource Type
- Academic Journal
- Authors
- 汪小燕; 申元霞; WANG Xiao-yan; SHEN Yuan-xia
- Source
- 系统工程与电子技术 / Systems Engineering and Electronics. 38(12):2889-2893
- Subject
- 程度多粒度粗糙集
粒度矩阵
核粒度
粒度约简
graded multi-granulation rough set
granulation matrix
core granulation
granulation reduc-tion
- Language
- Chinese
- ISSN
- 1001-506X
多粒度是粗糙集理论中的一种有效的数据处理方法,粒度约简是获取信息系统简洁规则的前提。研究了程度乐(悲)观多粒度粗糙集粒度约简理论,改进了程度粗糙集的下近似定义,提出了程度多粒度粗糙集的粒度矩阵。基于粒度矩阵,研究了程度多粒度粗糙集下近似计算理论和粒度的必要性,提出程度乐观多粒度粗糙集核粒度的定义。针对程度乐(悲)观多粒度粗糙集,提出基于粒度矩阵的粒度约简方法。最后利用实例分析验证了所提粒度约简方法的正确性。
Multi-granularity is an effective data processing method in rough set theory.Granularity reduc-tion is the prerequisite for obtaining the concise rules of the information system.The granulation reduction of graded optimism (pessimism)multi-granulation rough set is researched and the lower approximation definition of graded rough set is improved.The granulation matrix of graded multi-granulation rough set is proposed. Based on the granulation matrix,the lower approximation calculation and necessity of granularity are studied in graded multi-granulation rough set.Then the core granulation definition on graded optimism multi-granulation rough set is given.The granulation reduction of graded optimism (pessimism)multi-granulation rough set is proposed based on granulation matrix.Finally,a numerical example is given to demonstrate the correctness of the proposed method for granularity reduction.