Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-10
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
How to effectively deal with missing values in incomplete information systems (IISs) according to the research target is still a key issue for investigating IISs.
If the missing values in IISs are not handled properly, they will destroy the internal connection of data and reduce the efficiency of data usage.
In this paper, in order to establish effective methods for filling missing values, we propose a new information system, namely, a fuzzy set-valued information system (FSvIS).
By means of the similarity measures of fuzzy sets, we obtain several binary relations in FSvISs, and we investigate the relationship among them.
This is a foundation for the researches on FSvISs in terms of rough set approach.
Then, we provide an algorithm to fill the missing values in IISs with fuzzy set values.
In fact, this algorithm can transform an IIS into an FSvIS.
Furthermore, we also construct an algorithm to fill the missing values in IISs with set values (or real values).
The effectiveness of these algorithms is analyzed.
The results showed that the proposed algorithms achieve higher correct rate than traditional algorithms, and they have good stability.
Finally, we discuss the importance of these algorithms for investigating IISs from the viewpoint of rough set theory.
American Psychological Association (APA)
Wang, Zhaohao& Zhang, Xiaoping. 2019. Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems. Complexity،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1131360
Modern Language Association (MLA)
Wang, Zhaohao& Zhang, Xiaoping. Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems. Complexity No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1131360
American Medical Association (AMA)
Wang, Zhaohao& Zhang, Xiaoping. Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems. Complexity. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1131360
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131360