基于“逻辑与”算子的双量化多粒度粗糙集模型  

Double Quantitative Multi-granulation Rough Set Model Based on “Logical Conjunction” Operator

作　　者：陈华峰 沈玉玲 龙建武 瞿先平[1,2] 

机构地区：[1]重庆电讯职业学院基础部,重庆402247 [2]重庆理工大学计算机科学与工程学院,重庆400054

出　　处：《计算机科学》2017年第B11期144-147,共4页Computer Science

基　　金：国家自然科学基金项目(61502065);重庆市科委基础科学与前沿技术研究(重点)项目(cstc2015jcyjBX0127);重庆市教委科学技术研究项目(KJ1500922;KJ1605201)资助

摘　　要：在多粒度近似空间中,将刻画相对量化信息的变精度粗糙集和描述绝对量化信息的程度粗糙集通过"逻辑与"算子结合起来,建立了基于"逻辑与"算子的双量化多粒度粗糙集模型,并分别从乐观和悲观双量化多粒度粗糙集的角度对模型的一些数学性质进行了讨论。该模型对多粒度近似空间中的相对量化信息和绝对量化信息同时进行了描述,在处理带噪声的数据方面有一定的应用价值,丰富了基于粗糙集理论的知识发现的理论基础。In this study, the double quantitative multi-granulation rough set model based on logical conjunction operator was proposed in multi-granulat ion approximate space. T he variable precision rough set which is characterized by relative quantitative informat ion and graded rough which describes absolute quantitative inform at ion were conbined to set double quantitative multi-granulat ion rough set model based on logical conjunction operater. Some mathematical properties of the investigated rough set model were researched in the viewpoints of optimistic and pessimistic. The constructed model describes relative quantitative information and absolute quantitative information at the same time in an approximate space. It is useful to process noisy data and provides more abundant theoretical principle fo r knowledge discovery based on rough set theory.

关 键 词：变精度粗糙集 程度粗糙集 多粒度粗糙集 逻辑与 双量化 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]