Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation
From the perspective of the degrees of classification error, we proposed graded rough intuitionistic fuzzy sets as the extension of classic rough intuitionistic fuzzy sets. Firstly, combining dominance relation of graded rough sets with dominance relation in intuitionistic fuzzy ordered information...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-09-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/10/10/446 |
| _version_ | 1811304907128438784 |
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| author | Zhan-ao Xue Min-jie Lv Dan-jie Han Xian-wei Xin |
| author_facet | Zhan-ao Xue Min-jie Lv Dan-jie Han Xian-wei Xin |
| author_sort | Zhan-ao Xue |
| collection | DOAJ |
| description | From the perspective of the degrees of classification error, we proposed graded rough intuitionistic fuzzy sets as the extension of classic rough intuitionistic fuzzy sets. Firstly, combining dominance relation of graded rough sets with dominance relation in intuitionistic fuzzy ordered information systems, we designed type-I dominance relation and type-II dominance relation. Type-I dominance relation reduces the errors caused by single theory and improves the precision of ordering. Type-II dominance relation decreases the limitation of ordering by single theory. After that, we proposed graded rough intuitionistic fuzzy sets based on type-I dominance relation and type-II dominance relation. Furthermore, from the viewpoint of multi-granulation, we further established multi-granulation graded rough intuitionistic fuzzy sets models based on type-I dominance relation and type-II dominance relation. Meanwhile, some properties of these models were discussed. Finally, the validity of these models was verified by an algorithm and some relative examples. |
| first_indexed | 2024-04-13T08:15:46Z |
| format | Article |
| id | doaj.art-7d9578181e5c4e7e86e5dc8ac357008a |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-13T08:15:46Z |
| publishDate | 2018-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-7d9578181e5c4e7e86e5dc8ac357008a2022-12-22T02:54:46ZengMDPI AGSymmetry2073-89942018-09-01101044610.3390/sym10100446sym10100446Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance RelationZhan-ao Xue0Min-jie Lv1Dan-jie Han2Xian-wei Xin3College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, ChinaCollege of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, ChinaCollege of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, ChinaCollege of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, ChinaFrom the perspective of the degrees of classification error, we proposed graded rough intuitionistic fuzzy sets as the extension of classic rough intuitionistic fuzzy sets. Firstly, combining dominance relation of graded rough sets with dominance relation in intuitionistic fuzzy ordered information systems, we designed type-I dominance relation and type-II dominance relation. Type-I dominance relation reduces the errors caused by single theory and improves the precision of ordering. Type-II dominance relation decreases the limitation of ordering by single theory. After that, we proposed graded rough intuitionistic fuzzy sets based on type-I dominance relation and type-II dominance relation. Furthermore, from the viewpoint of multi-granulation, we further established multi-granulation graded rough intuitionistic fuzzy sets models based on type-I dominance relation and type-II dominance relation. Meanwhile, some properties of these models were discussed. Finally, the validity of these models was verified by an algorithm and some relative examples.http://www.mdpi.com/2073-8994/10/10/446graded rough setsrough intuitionistic fuzzy setsdominance relationlogical conjunction operationlogical disjunction operationmulti-granulation |
| spellingShingle | Zhan-ao Xue Min-jie Lv Dan-jie Han Xian-wei Xin Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation Symmetry graded rough sets rough intuitionistic fuzzy sets dominance relation logical conjunction operation logical disjunction operation multi-granulation |
| title | Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation |
| title_full | Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation |
| title_fullStr | Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation |
| title_full_unstemmed | Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation |
| title_short | Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation |
| title_sort | multi granulation graded rough intuitionistic fuzzy sets models based on dominance relation |
| topic | graded rough sets rough intuitionistic fuzzy sets dominance relation logical conjunction operation logical disjunction operation multi-granulation |
| url | http://www.mdpi.com/2073-8994/10/10/446 |
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