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| 不完备目标信息系统中基于差异关系的粗糙集 | |
| 引用本文： | 魏利华,唐振民,丁辉,吴刚.不完备目标信息系统中基于差异关系的粗糙集[J].南京理工大学学报(自然科学版),2010,34(4). |
| 作者姓名： | 魏利华 唐振民 丁辉 吴刚 |
| 作者单位： | 1. 南京理工大学,计算机科学与技术学院,江苏,南京,210094;德雷塞尔大学,信息科学与技术学院,美国,费城,PA19104 2. 南京理工大学,计算机科学与技术学院,江苏,南京,210094 3. 南京理工大学,计算机科学与技术学院,江苏,南京,210094;嘉兴学院,数学与信息工程学院,浙江,嘉兴,314001 |
| 基金项目： | 浙江省自然科学基金，浙江省教育厅科研计划项目 |
| 摘 要： | 针对建立在等价关系上的传统粗糙集对差异关系研究不足的情况,基于差异关系对传统粗糙集模型进行了扩展。在不完备目标信息系统中定义差异关系并基于这种差异关系扩充粗糙集模型。等价关系反映事物共性,差异关系反映事物个性,基于差异关系的粗糙集可用于约简否定规则。文中定义了一种差异关系,证明了基于差异关系的下、上近似集的主要性质,建立了相应的近似约简模型,最后给出了近似约简的判定定理和计算方法。 |
| 关 键 词： | 不完备目标信息系统 等价关系 差异关系 下近似集 上近似集 近似约简 |
Discernibility Relation-based Rough Set in Incomplete Decision System |
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| WEI Li-hua,TANG Zhen-min,DING Hui,WU Gang.Discernibility Relation-based Rough Set in Incomplete Decision System[J].Journal of Nanjing University of Science and Technology(Nature Science),2010,34(4). | |
| Authors: | WEI Li-hua TANG Zhen-min DING Hui WU Gang |
| Institution: | WEI Li-hua1,TANG Zhen-min1,DING Hui1,2,WU Gang1(1.School of Computer Science and Technology,NUST,Nanjing 210094,China,2.School of Mathematics & Information Engineering,Jiaxing University,Jiaxing 314001,3.College of Information Science & Technology,Drexel University,Philadelphia,PA 19104,USA) |
| Abstract: | Considering discernibility that the classical rough set approach based on indiscernibility relation rarely concerns discernibility relation,the classical rough set model is extended on the basis of discernibility relation.A discernibility relation-based rough set theory is further advanced for incomplete decision system in this paper.Indiscernibility relation reflects the commonness of things while discernibility relation displays individuality between them and the rough set model based on discernibility re... |
| Keywords: | incomplete decision system indiscernibility relation discernibility relation lower approximation upper approximation approximation reducts |
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