[1]李亚鸽,杨宏志,徐久成.基于不完备信息系统的三角模糊数决策粗糙集[J].智能系统学报,2016,11(4):449-458.[doi:10.11992/tis.201606016]
LI Yage,YANG Hongzhi,XU Jiucheng.Triangular fuzzy number decision-theoretic rough sets under incomplete information systems[J].CAAI Transactions on Intelligent Systems,2016,11(4):449-458.[doi:10.11992/tis.201606016]
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LI Yage,YANG Hongzhi,XU Jiucheng.Triangular fuzzy number decision-theoretic rough sets under incomplete information systems[J].CAAI Transactions on Intelligent Systems,2016,11(4):449-458.[doi:10.11992/tis.201606016]
基于不完备信息系统的三角模糊数决策粗糙集
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
11
期数:
2016年第4期
页码:
449-458
栏目:
学术论文—智能系统
出版日期:
2016-07-25
- Title:
- Triangular fuzzy number decision-theoretic rough sets under incomplete information systems
- Keywords:
- incomplete information system; interval value; triangular fuzzy number; decision-theoretic rough sets
- 分类号:
- TP18
- 摘要:
- 在不完备信息系统中，针对用区间值表示一个未知参量时，整个区间内取值机会被认为是均等的，得到的结果可能会产生过大误差的问题，将三角模糊数引入到决策粗糙集中，提出了一种基于不完备信息系统的三角模糊数决策粗糙集。首先，定义了一种描述不完备信息的相似关系；然后，针对不完备信息系统中的缺失值，利用三角模糊数来获取损失函数，构建了三角模糊数决策粗糙集模型；实例表明，本文提出的方法不仅能够弥补用区间数表示的不足，而且可以突出可能性最大的主值，从而减少分类误差。
- Abstract:
- Aiming at the problems that when using an interval value to represent an unknown parameter in an incomplete information system, the opportunity to obtain the value over the whole interval is considered to be equal, but the result may cause an over-large error. In order to solve this problem, a triangular fuzzy number was introduced into decision-theoretic rough sets, and a triangular fuzzy decision-theoretic rough set under incomplete information systems is proposed. Firstly, a new similarity relation was defined to describe incomplete information systems. Then, in view of the missing values, a model of triangular fuzzy number decision-theoretic rough sets was constructed to obtain the loss function. Finally, examples show that the proposed method not only makes up for deficiency in representation of the interval value, but also highlights the main value most likely to reduce the classification error.
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备注/Memo
收稿日期:2016-06-03。
基金项目:国家自然科学基金项目（61370169，61402153）；河南省科技攻关重点项目（142102210056，162102210261）；河南省高等学校重点科研项目（16A520057）.
作者简介:李亚鸽,女,1990年生,硕士研究生,主要研究方向为粗糙集、粒计算、三支决策;杨宏志,男,1962年生,教授,博士,主要研究方向为粗糙集、概念格、粒计算;杨宏志教授长期从事应用数学的教学与研究工作,先后发表学术论文30余篇,出版著作2部,承担并完成省级项目8项;徐久成,男,1964年生,教授,博士生导师,主要研究方向为数据挖掘、粒计算与知识获取、生物信息学等。发表学术论文100余篇,其中被SCI收录14篇,被EI收录30余篇;出版专著1部,主编国家"十一.五"、"十二.五"规划统编教材3部。获河南省自然科学优秀学术论文一等奖3项、河南省高等教育省级教学成果一等奖2项,河南省教育厅科技成果一等奖1项。
通讯作者:李亚鸽.E-mail:liyagezzu@163.com.
更新日期/Last Update:
1900-01-01