Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems
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 da...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/3213808 |
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| _version_ | 1832552015463448576 |
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| author | Zhaohao Wang Xiaoping Zhang |
| author_facet | Zhaohao Wang Xiaoping Zhang |
| author_sort | Zhaohao Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-60bdcb2506ab41889d018a2d6aedd262 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-60bdcb2506ab41889d018a2d6aedd2622025-02-03T05:59:41ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/32138083213808Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information SystemsZhaohao Wang0Xiaoping Zhang1School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041000, Shanxi, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen 041000, Shanxi, ChinaHow 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.http://dx.doi.org/10.1155/2019/3213808 |
| spellingShingle | Zhaohao Wang Xiaoping Zhang Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems Complexity |
| title | Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems |
| title_full | Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems |
| title_fullStr | Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems |
| title_full_unstemmed | Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems |
| title_short | Fuzzy Set-Valued Information Systems and the Algorithm of Filling Missing Values for Incomplete Information Systems |
| title_sort | fuzzy set valued information systems and the algorithm of filling missing values for incomplete information systems |
| url | http://dx.doi.org/10.1155/2019/3213808 |
| work_keys_str_mv | AT zhaohaowang fuzzysetvaluedinformationsystemsandthealgorithmoffillingmissingvaluesforincompleteinformationsystems AT xiaopingzhang fuzzysetvaluedinformationsystemsandthealgorithmoffillingmissingvaluesforincompleteinformationsystems |