Certain Types of Covering-Based Multigranulation (ℐ,T)-Fuzzy Rough Sets with Application to Decision-Making
As a generalization of Zhan’s method (i.e., to increase the lower approximation and decrease the upper approximation), the present paper aims to define the family of complementary fuzzy β-neighborhoods and thus three kinds of covering-based multigranulation (ℐ,T)-fuzzy rough sets models are establis...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6661782 |
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| _version_ | 1832547013284069376 |
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| author | Jue Ma Mohammed Atef Shokry Nada Ashraf Nawar |
| author_facet | Jue Ma Mohammed Atef Shokry Nada Ashraf Nawar |
| author_sort | Jue Ma |
| collection | DOAJ |
| description | As a generalization of Zhan’s method (i.e., to increase the lower approximation and decrease the upper approximation), the present paper aims to define the family of complementary fuzzy β-neighborhoods and thus three kinds of covering-based multigranulation (ℐ,T)-fuzzy rough sets models are established. Their axiomatic properties are investigated. Also, six kinds of covering-based variable precision multigranulation (ℐ,T)-fuzzy rough sets are defined and some of their properties are studied. Furthermore, the relationships among our given types are discussed. Finally, a decision-making algorithm is presented based on the proposed operations and illustrates with a numerical example to describe its performance. |
| format | Article |
| id | doaj-art-6a42f88dc9b84103b6f7a3dae180d357 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6a42f88dc9b84103b6f7a3dae180d3572025-02-03T06:46:21ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/66617826661782Certain Types of Covering-Based Multigranulation (ℐ,T)-Fuzzy Rough Sets with Application to Decision-MakingJue Ma0Mohammed Atef1Shokry Nada2Ashraf Nawar3School of Mathematics and Statistics, Yulin University, Yulin 719000, ChinaDepartment of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia 32511, EgyptDepartment of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia 32511, EgyptDepartment of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia 32511, EgyptAs a generalization of Zhan’s method (i.e., to increase the lower approximation and decrease the upper approximation), the present paper aims to define the family of complementary fuzzy β-neighborhoods and thus three kinds of covering-based multigranulation (ℐ,T)-fuzzy rough sets models are established. Their axiomatic properties are investigated. Also, six kinds of covering-based variable precision multigranulation (ℐ,T)-fuzzy rough sets are defined and some of their properties are studied. Furthermore, the relationships among our given types are discussed. Finally, a decision-making algorithm is presented based on the proposed operations and illustrates with a numerical example to describe its performance.http://dx.doi.org/10.1155/2020/6661782 |
| spellingShingle | Jue Ma Mohammed Atef Shokry Nada Ashraf Nawar Certain Types of Covering-Based Multigranulation (ℐ,T)-Fuzzy Rough Sets with Application to Decision-Making Complexity |
| title | Certain Types of Covering-Based Multigranulation (ℐ,T)-Fuzzy Rough Sets with Application to Decision-Making |
| title_full | Certain Types of Covering-Based Multigranulation (ℐ,T)-Fuzzy Rough Sets with Application to Decision-Making |
| title_fullStr | Certain Types of Covering-Based Multigranulation (ℐ,T)-Fuzzy Rough Sets with Application to Decision-Making |
| title_full_unstemmed | Certain Types of Covering-Based Multigranulation (ℐ,T)-Fuzzy Rough Sets with Application to Decision-Making |
| title_short | Certain Types of Covering-Based Multigranulation (ℐ,T)-Fuzzy Rough Sets with Application to Decision-Making |
| title_sort | certain types of covering based multigranulation i t fuzzy rough sets with application to decision making |
| url | http://dx.doi.org/10.1155/2020/6661782 |
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