Pawlak Algebra and Approximate Structure on Fuzzy Lattice
The aim of this paper is to investigate the general approximation structure, weak approximation operators, and Pawlak algebra in the framework of fuzzy lattice, lattice topology, and auxiliary ordering. First, we prove that the weak approximation operator space forms a complete distributive lattice....
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/697107 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548443295318016 |
|---|---|
| author | Ying Zhuang Wenqi Liu Chin-Chia Wu Jinhai Li |
| author_facet | Ying Zhuang Wenqi Liu Chin-Chia Wu Jinhai Li |
| author_sort | Ying Zhuang |
| collection | DOAJ |
| description | The aim of this paper is to investigate the general approximation structure, weak approximation operators, and Pawlak algebra in the framework of fuzzy lattice, lattice topology, and auxiliary ordering. First, we prove that the weak approximation operator space forms a complete distributive lattice. Then we study the properties of transitive closure of approximation operators and apply them to rough set theory. We also investigate molecule Pawlak algebra and obtain some related properties. |
| format | Article |
| id | doaj-art-f9d881d403674ef4a50433a60675e961 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-f9d881d403674ef4a50433a60675e9612025-02-03T06:14:07ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/697107697107Pawlak Algebra and Approximate Structure on Fuzzy LatticeYing Zhuang0Wenqi Liu1Chin-Chia Wu2Jinhai Li3Faculty of Science, Kunming University of Science and Technology, Kunming 650500, ChinaFaculty of Science, Kunming University of Science and Technology, Kunming 650500, ChinaDepartment of Statistics, Feng Chia University, Taichung 40724, TaiwanFaculty of Science, Kunming University of Science and Technology, Kunming 650500, ChinaThe aim of this paper is to investigate the general approximation structure, weak approximation operators, and Pawlak algebra in the framework of fuzzy lattice, lattice topology, and auxiliary ordering. First, we prove that the weak approximation operator space forms a complete distributive lattice. Then we study the properties of transitive closure of approximation operators and apply them to rough set theory. We also investigate molecule Pawlak algebra and obtain some related properties.http://dx.doi.org/10.1155/2014/697107 |
| spellingShingle | Ying Zhuang Wenqi Liu Chin-Chia Wu Jinhai Li Pawlak Algebra and Approximate Structure on Fuzzy Lattice The Scientific World Journal |
| title | Pawlak Algebra and Approximate Structure on Fuzzy Lattice |
| title_full | Pawlak Algebra and Approximate Structure on Fuzzy Lattice |
| title_fullStr | Pawlak Algebra and Approximate Structure on Fuzzy Lattice |
| title_full_unstemmed | Pawlak Algebra and Approximate Structure on Fuzzy Lattice |
| title_short | Pawlak Algebra and Approximate Structure on Fuzzy Lattice |
| title_sort | pawlak algebra and approximate structure on fuzzy lattice |
| url | http://dx.doi.org/10.1155/2014/697107 |
| work_keys_str_mv | AT yingzhuang pawlakalgebraandapproximatestructureonfuzzylattice AT wenqiliu pawlakalgebraandapproximatestructureonfuzzylattice AT chinchiawu pawlakalgebraandapproximatestructureonfuzzylattice AT jinhaili pawlakalgebraandapproximatestructureonfuzzylattice |