Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications
Recently, much attention has been given to the rough set models based on two universes. And many rough set models based on two universes have been developed from different points of view. In this paper, a novel model, that is, rough Atanassov’s intuitionistic fuzzy sets model over two different univ...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/348683 |
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| _version_ | 1832547508425850880 |
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| author | Shuqun Luo Weihua Xu |
| author_facet | Shuqun Luo Weihua Xu |
| author_sort | Shuqun Luo |
| collection | DOAJ |
| description | Recently, much attention has been given to the rough set models based on two universes. And many rough set models based on two universes have been developed from different points of view. In this paper, a novel model, that is, rough Atanassov’s intuitionistic fuzzy sets model over two different universes, is firstly proposed from Atanassov’s intuitionistic point of view. We study some important properties of approximation operators and investigate the rough degree in the novel model. Furthermore, an illustrated example is employed to demonstrate the conceptual arguments of the model. Finally, rough Atanassov’s intuitionistic fuzzy sets approach to decision is presented in the generalized approximation space over two universes by considering the problem about how to arrange patients to see the doctor reasonably, from which it can be found that the method is valuable and useful in real life. |
| format | Article |
| id | doaj-art-57cb9c69c76544a0af9ea3b3d376879b |
| 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-57cb9c69c76544a0af9ea3b3d376879b2025-02-03T06:44:34ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/348683348683Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its ApplicationsShuqun Luo0Weihua Xu1School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaSchool of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaRecently, much attention has been given to the rough set models based on two universes. And many rough set models based on two universes have been developed from different points of view. In this paper, a novel model, that is, rough Atanassov’s intuitionistic fuzzy sets model over two different universes, is firstly proposed from Atanassov’s intuitionistic point of view. We study some important properties of approximation operators and investigate the rough degree in the novel model. Furthermore, an illustrated example is employed to demonstrate the conceptual arguments of the model. Finally, rough Atanassov’s intuitionistic fuzzy sets approach to decision is presented in the generalized approximation space over two universes by considering the problem about how to arrange patients to see the doctor reasonably, from which it can be found that the method is valuable and useful in real life.http://dx.doi.org/10.1155/2014/348683 |
| spellingShingle | Shuqun Luo Weihua Xu Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications The Scientific World Journal |
| title | Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications |
| title_full | Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications |
| title_fullStr | Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications |
| title_full_unstemmed | Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications |
| title_short | Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications |
| title_sort | rough atanassov s intuitionistic fuzzy sets model over two universes and its applications |
| url | http://dx.doi.org/10.1155/2014/348683 |
| work_keys_str_mv | AT shuqunluo roughatanassovsintuitionisticfuzzysetsmodelovertwouniversesanditsapplications AT weihuaxu roughatanassovsintuitionisticfuzzysetsmodelovertwouniversesanditsapplications |