Test-Cost-Sensitive Attribute Reduction of Data with Normal Distribution Measurement Errors
Joint Authors
Zhu, William
Zhao, Hong
Min, Fan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The measurement error with normal distribution is universal in applications.
Generally, smaller measurement error requires better instrument and higher test cost.
In decision making, we will select an attribute subset with appropriate measurement error to minimize the total test cost.
Recently, error-range-based covering rough set with uniform distribution error was proposed to investigate this issue.
However, the measurement errors satisfy normal distribution instead of uniform distribution which is rather simple for most applications.
In this paper, we introduce normal distribution measurement errors to covering-based rough set model and deal with test-cost-sensitive attribute reduction problem in this new model.
The major contributions of this paper are fourfold.
First, we build a new data model based on normal distribution measurement errors.
Second, the covering-based rough set model with measurement errors is constructed through the “3-sigma” rule of normal distribution.
With this model, coverings are constructed from data rather than assigned by users.
Third, the test-cost-sensitive attribute reduction problem is redefined on this covering-based rough set.
Fourth, a heuristic algorithm is proposed to deal with this problem.
The experimental results show that the algorithm is more effective and efficient than the existing one.
This study suggests new research trends concerning cost-sensitive learning.
American Psychological Association (APA)
Zhao, Hong& Min, Fan& Zhu, William. 2013. Test-Cost-Sensitive Attribute Reduction of Data with Normal Distribution Measurement Errors. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1011255
Modern Language Association (MLA)
Zhao, Hong…[et al.]. Test-Cost-Sensitive Attribute Reduction of Data with Normal Distribution Measurement Errors. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1011255
American Medical Association (AMA)
Zhao, Hong& Min, Fan& Zhu, William. Test-Cost-Sensitive Attribute Reduction of Data with Normal Distribution Measurement Errors. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1011255
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011255