Fuzzy rough set model for set-valued data

被引：63
作者：
Dai, Jianhua [1 ]
Tian, Haowei [1 ]
机构：
[1] Zhejiang Univ, Coll Comp Sci, Hangzhou 310027, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2013年 / 229卷
基金：
中国国家自然科学基金;
关键词：
Set-valued data; Fuzzy rough set model; Discernibility matrix; Discernibility function; Attribute reduction; SYSTEMS;
D O I：
10.1016/j.fss.2013.03.005
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In many practical situations, some of the attribute values for an object may be set-valued. The existing crisp rough set model for set-valued information systems is based on a tolerance relation that examines whether two set values have a non-empty intersection. Some information in the data will be lost according to the tolerance relation. Here we define a fuzzy relation and construct a fuzzy rough set model for set-valued information systems. The concepts of reduct, core, discernibility matrix and discernibility function for set-valued information systems, and relative reduct, core, discernibility matrix and discernibility function for set-valued decision systems are defined and examined. Attribute reduction in set-valued information systems based on discernibility matrices and functions are investigated. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：54 / 68
页数：15
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