南京大学学报（自然科学版）2017，Vol.53Issue(4)：782-790,9.DOI:10.13232/j.cnki.jnju.2017.04.022
不完备信息系统中的广义多粒度双相对定量决策粗糙集
Generalized multigranulation double-relative-quantitativedecision-theoretic rough sets in incomplete information system
摘要
Abstract
The classical rough set model is established on the base of an equivalence relation,and its requirement is too strict.In real life,the application of classical rough set theory has certain limitation.It is important for the development of rough set model by introducing other binary relations,which have become hot topics.In the real world,information acquisition systems suffer from the data measurement error,the understanding of the data and the limits of data acquisition,and information systems are usually incomplete.In order to address the relative and absolute information of the incomplete information system,this paper develops two generalized multigranulation double-relative-quantitative decision-theoretic rough sets(GMDrq-DTRS)by combing generalized multigranulation decision-rough sets(GM-DTRS)and double-relative-quantitative decision rough sets(Drq-DTRS).On the one hand,the equivalent relations between two GMDrq-DTRS and GM-DTRS and the relationship of size between their positive region and negative region are explored.On the other hand,the special relations between the positive region,negative region and boundary region of the first generalized multigranulation double-relative-quantitative decision-theoretic rough sets(GMDrq1-DTRS)and the second generalized multigranulation double-relative-quantitative decision-theoretic rough sets(GMDrq2-DTRS)are discussed under the influence of different parameters'' relations.Finally,an illustrative example is employed to illustrate the decision process of GMDrq-DTRS established in the paper and show the relationships between GMDrq-DTRS and other rough set models by taking different parameters.关键词
不完备信息系统/广义多粒度/决策粗糙集/双相对定量Key words
incomplete information system/generalized multigranulation/decision-theoretic rough sets/double-relative-quantitative分类
信息技术与安全科学引用本文复制引用
李敬,王利东..不完备信息系统中的广义多粒度双相对定量决策粗糙集[J].南京大学学报（自然科学版）,2017,53(4):782-790,9.基金项目
国家自然科学基金(61203283),辽宁省自然科学基金(2014025004),中央高校基本科研基金(3132016306,3132017048) （61203283）
