|本期目录/Table of Contents|

[1]张春英,乔 鹏,王立亚*,等. 基于概率PS-粗糙集的动态三支决策及应用[J].南京大学学报(自然科学),2017,53(5):937.[doi:10.13232/j.cnki.jnju.2017.05.013]
 Zhang Chunying,Qiao Peng,Wang Liya*,et al. Dynamic three way decisions and its application based on bidirectional transfer probabilistic PS-rough sets[J].Journal of Nanjing University(Natural Sciences),2017,53(5):937.[doi:10.13232/j.cnki.jnju.2017.05.013]
点击复制

 基于概率PS-粗糙集的动态三支决策及应用()
     

《南京大学学报(自然科学)》[ISSN:0469-5097/CN:32-1169/N]

卷:
53
期数:
2017年第5期
页码:
937
栏目:
出版日期:
2017-09-30

文章信息/Info

Title:
 Dynamic three way decisions and its application based on bidirectional transfer probabilistic PS-rough sets
作者:
 张春英12乔 鹏12王立亚12*刘 璐12张建松13
1.华北理工大学理学院,唐山,063092;
2.河北省数据科学与应用重点实验室,唐山,063092;
3.华北理工大学建筑工程学院,唐山,063092
Author(s):
 Zhang Chunying12Qiao Peng12Wang Liya12*Liu Lu12Zhang Jiansong13
1.College of Science,North China University of Science and Technology,Tangshan,063009,China;
2.Provincial Key.Laboratory for Data Science and Application,Tangshan,063009,China;
3.Civil and Architectural Engineering,North China University of Science and Technology,Tangshan,063009,China
关键词:
 双向概率PS-粗糙集三支决策动态决策阈 值
Keywords:
 bidirectional transfer probabilistic PS-rough setsthree-way decisionsdynamic decisionthreshold value
分类号:
TP391
DOI:
10.13232/j.cnki.jnju.2017.05.013
文献标志码:
A
摘要:
 在实际应用中,集合是动态变化的,包括元素的迁入和迁出.双向概率PS-粗糙集既考虑集合的动态特性,又考虑知识库中统计信息的粗集理论.在深入分析概率PS-粗糙集理论及其性质的基础上提出了基于双向概率PS-粗糙集的动态三支决策模型,以解决集合动态变化下的三支决策问题.首先,根据双向概率PS-粗糙集的上下近似得到概率PS-正域、负域和边界域,给出了双向概率PS-粗糙集的三支决策规则,并分析了三种规则的置信度与错误率的计算方法与性质;其次,定义了决策度量函数与决策损失函数,并基于贝叶斯决策论的最小风险决策规则,给出了参数阈值的计算方法;最后,讨论了此动态模型的决策性质,并通过元素迁入和迁出的实例证明了模型的正确性与可行性.
Abstract:
 In practice,the set is dynamic,including elements moving in and moving out.The bidirectional transfer probabilistic PS-rough sets not only take into account the dynamic characteristics of the set but the rough sets theory of statistical information in the knowledge base.In order to solve the issue of three way decisions under set’s dynamic changing,the model of three way decisions model based on bidirectional transfer probabilistic PS-rough sets was put forward.Firstly,according to the upper and lower approximation of bidirectional transfer probabilistic PS-rough sets,the probabilistic PS-positive region,negative region and boundary region were got,the rules of three way decisions on the bidirectional transfer probabilistic PS-rough sets were given,and the computing method and its properties of confidence coefficient and error rate were analyzed.Then,decision metric function and decision loss function of three-way decision based on bidirectional transfer probabilistic PS-rough sets were defined,and the estimation method of the threshold value based on the minimum risk decision rules of Bayesian decision theory was given.Finally,the decision properties of the dynamic model were discussed;the correctness and feasibility of the model were proved by an example of moving in and moving out of elements.

参考文献/References:

 

[1] Yao Y Y.An outline of a theory of three-way decisions.In:Proceedings of the 8th International Conference on Rough Sets and Current Trends in Computing(RSCTC 2012).Chengdu,China:Springer,2012:1-17.
[2] 姚一豫.三支决策研究的若干问题.刘盾,李天瑞,苗夺谦等.三支决策与粒计算.北京:科学出版社,2013:1-13.(Yao Y Y.Several issues in studies on three-way decisions.Liu D,Li T R,Miao D Q,et al,Three-way decision and granular computing.Beijing:Science Press,2013:1-13.)
[3] Hu B Q.Three-way decisions space and three-way decisions.Information Sciences,2014,281:21-52.
[4] Ziarko W.Variable precision rough set model.Journal of Computer and System Sciences,1993,46(1):39-59.
[5] AS'lzak D.Rough sets and Bayes factor.In:Peters J F,Skowron A.Transactions on rough sets Ⅲ.Springer Berlin Heidelberg,2005:202-229.
[6] Slezak D,Ziarko W.The investigation of the Bayesian rough set model.International Journal of Approximate Reasoning,2005,40(1-2):81-91.
[7] 张燕平,邹慧锦,赵 姝.基于CCA的代价敏感三支决策模型.南京大学学报(自然科学),2015,51(2):447-452.(Zhang Y P,Zou H J,Zhao S.Cost-sensitive three-way decisions model based on CCA.Journal of Nanjing University(Natural Sciences),2015,51(2):447-452.)
[8] 张燕平,邹慧锦,邢 航等.CCA三支决策模型的边界域样本处理.计算机科学与探索,2014,8(5):593-600.(Zhang Y P,Zou H J,Xing H,et al,Dealing with samples in boundary regions of three-way decisions model based on CCA.Journal of Frontiers of Computer Science and Technology,2014,8(5):593-600.)
[9] Qi J J,Qian T,Wei L.The connections between three-way and classical concept lattices.Knowledge-Based Systems,2016,91:143-151.
[10] 王立亚,张春英,刘保相.基于区间概念格的三支决策动态策略调控模型.计算机工程与应用,2016,52(24):80-84,101.(Wang L Y,Zhang C Y,Liu B X.Dynamic strategy regulation model of three-way decisions based on interval concept lattice and its application.Computer Engineering and Applications,2016,52(24):80-84,101.)
[11] 李明霞,刘保相,张春英.三支决策空间下的区间参数优化模型及应用.计算机科学,2017,44(1):84-89.(Li M X,Liu B X,Zhang C Y.Interval parameters optimization model under three-way decisions space and its application.Computer Science,2017,44(1):84-89.)
[12] 张春英,王立亚,李明霞等.基于集对信息粒空间的三支决策模型及应用.通信学报,2016,37(Z1):2016242.(Zhang C Y,Wang L Y,Li M X,et al.Model of three-way decision based on the space of set pair information granule and its application.Journal on Communications,2016,37(Z1):2016242.)
[13] 赵艳君,张春英.双向迁移概率PS-粗糙集模型及应用.计算机工程与应用,2012,48(14):148-151.(Zhao Y J,Zhang C Y.Model and application of bidirectional transfer probabilistic PS-rough sets.Computer Engineering and Applications,2012,48(14):148-151.)
[14] 史开泉,赵建立.函数S-粗集与隐藏规律安全-认证.中国科学E辑:信息科学,2008,38(8):1234-1243.(Shi K Q,Zhao J L.Function S-rough sets and hidden rules-Safety Certification.China Science Series E:Information Sciences,2008,38(8):1234-1243.)
[15] 史开泉,姚炳学.函数S-粗集与规律辨识.中国科学E辑:信息科学,2008,38(4):553-564.(Shi K Q,Yao B X.The identification function S-rough sets and rules.China Science Series E:Information Sciences,2008,38(04):553-564.)
[16] 史开泉.函数S-粗集.山东大学学报(理学版),2005,40(1):1-6,10.(Shi K Q.Function S-rough sets.Journal of Shandong University(Natural Science),2005,40(1):1-6,10.)
[17] 史开泉,崔玉泉.变异S-粗集与它的变异结构.山东大学学报(理学版),2004,39(5):52-57.(Shi K Q,Cui Y Q.Variation S-rough sets and its variation structure.Journal of Shandong University(Natural Science),2004,39(5):52-57.)



相似文献/References:

备注/Memo

备注/Memo:
 基金项目:国家自然科学基金(61370168,61472340),河北省自然科学基金(F2016209344),华北理工大学博士启动基金(3467),华北理工大学青年科学基金(Z201621)
收稿日期:2017-07-23
*通讯联系人,E-mail:1095369908@qq.com
更新日期/Last Update: 2017-09-25