[1]史德容,徐伟华.区间值模糊决策序信息系统的部分一致约简[J].智能系统学报,2016,11(4):469-474.[doi:10.11992/tis.201606013]
 SHI Derong,XU Weihua.Partially consistent reduction in interval-valued fuzzy ordered decision information system[J].CAAI Transactions on Intelligent Systems,2016,11(4):469-474.[doi:10.11992/tis.201606013]
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区间值模糊决策序信息系统的部分一致约简(/HTML)
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《智能系统学报》[ISSN:1673-4785/CN:23-1538/TP]

卷:
第11卷
期数:
2016年4期
页码:
469-474
栏目:
出版日期:
2016-07-25

文章信息/Info

Title:
Partially consistent reduction in interval-valued fuzzy ordered decision information system
作者:
史德容 徐伟华
重庆理工大学 数学与统计学院, 重庆 400054
Author(s):
SHI Derong XU Weihua
School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, China
关键词:
粗糙集序信息系统部分一致约简辨识矩阵区间值
Keywords:
rough setordered information systempartially consistent reductionrecognizable matrixinterval-valued
分类号:
TP18
DOI:
10.11992/tis.201606013
摘要:
实际问题中,事物的一些属性值介于某个范围之间,常被用来刻画信息系统中的不确定信息。为了表达这种情况,属性值通常用模糊区间来表示,这种信息系统就是区间值模糊信息系统。本文通过在带有决策的区间值模糊信息系统中引入优势关系,建立区间值模糊决策序信息系统。在此基础上构造部分一致函数来简化知识的表达,并获得部分一致约简的判定定理,通过可辨识属性集和可辨识矩阵提供不协调的区间值模糊序信息系统的部分一致约简的具体方法,并结合投资风险这一具体案例的求解分析,进一步阐述了对部分一致约简研究的意义,丰富了区间值模糊序决策信息系统中的粗糙集方法。
Abstract:
In practical problems, some attribute-values of things are within a certain range and this is often used to describe uncertainties in an information system. The attribute-value is often expressed by a fuzzy interval, and the information system in this case is then called an interval-valued fuzzy information system. This paper establishes an interval-valued fuzzy decision ordered information system by introducing dominance relationships. This partially consistent function was built to simplify knowledge expression. A judgment theorem for partially consistent reduction was obtained, and from the recognizable attribute set and recognizable matrix, a partially consistent reduction method for an inconsistent interval-valued fuzzy ordered information system was derived. Furthermore, by combination with a specific case study on venture investment, the significance of partially consistent reduction is explained. This experiment enriches the rough set method for interval-valued fuzzy ordered decision information systems.

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备注/Memo

备注/Memo:
收稿日期:2016-06-03。
基金项目:国家自然科学基金项目(61105041,61472463,61402064);重庆市自然科学基金项目(cstc2015jcyjA1390);重庆理工大学研究生创新基金项目(YCX2015227).
作者简介:史德容,女,1991年生,硕士研究生,主要研究方向为人工智能的数学基础;徐伟华,男,1979年生,教授,博士,主要研究方向为人工智能与粒计算、模糊数学。
通讯作者:史德容.E-mail:1306123384@qq.com.
更新日期/Last Update: 1900-01-01