Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model
To effectively handle the problem of decision-making with interval-valued hesitant fuzzy information, this paper proposes four models of interval-valued dual hesitant fuzzy β coverage rough sets,which are combined with interval-valued dual hesitant fuzzy set and β covering rough set. Firstly, two ty...
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Harbin University of Science and Technology Publications
2024-08-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2358 |
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| author | REN Haowei WANG Qinghai |
| author_facet | REN Haowei WANG Qinghai |
| author_sort | REN Haowei |
| collection | DOAJ |
| description | To effectively handle the problem of decision-making with interval-valued hesitant fuzzy information, this paper proposes four models of interval-valued dual hesitant fuzzy β coverage rough sets,which are combined with interval-valued dual hesitant fuzzy set and β covering rough set. Firstly, two types of neighborhood systems are induced from interval-valued dual hesitant fuzzy β coverings, and four different models of interval-valued dual hesitant fuzzy β coverings rough sets are defined. Secondly, the mathematical properties of each model of interval-valued dual hesitant fuzzy β coverings rough sets are studied, and the relationships between the four models of interval-valued dual hesitant fuzzy β coverings rough sets and other relevant models are established. Finally, a multi-attribute decision-making algorithm is designed based on these models, and the applicability of interval-valued dual hesitant fuzzy β coverings rough sets in solving practical problems is effectively validated through practical examples. |
| format | Article |
| id | doaj-art-89f6dcfa33b84efa9d786430e099c4df |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2024-08-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-89f6dcfa33b84efa9d786430e099c4df2025-08-20T03:17:40ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832024-08-01290413214610.15938/j.jhust.2024.04.015Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set ModelREN Haowei0WANG Qinghai1School of Computer Science, Qinghai Normal University, Xining 810008 , China;Plateau and Sustainable Development Institute, Xining 810008 , ChinaSchool of Computer Science, Qinghai Normal University, Xining 810008 , China;Plateau and Sustainable Development Institute, Xining 810008 , ChinaTo effectively handle the problem of decision-making with interval-valued hesitant fuzzy information, this paper proposes four models of interval-valued dual hesitant fuzzy β coverage rough sets,which are combined with interval-valued dual hesitant fuzzy set and β covering rough set. Firstly, two types of neighborhood systems are induced from interval-valued dual hesitant fuzzy β coverings, and four different models of interval-valued dual hesitant fuzzy β coverings rough sets are defined. Secondly, the mathematical properties of each model of interval-valued dual hesitant fuzzy β coverings rough sets are studied, and the relationships between the four models of interval-valued dual hesitant fuzzy β coverings rough sets and other relevant models are established. Finally, a multi-attribute decision-making algorithm is designed based on these models, and the applicability of interval-valued dual hesitant fuzzy β coverings rough sets in solving practical problems is effectively validated through practical examples.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2358interval value dual hesitant fuzzy setsneighborhood systemβ coverage rough setsmulti-attribute decision making |
| spellingShingle | REN Haowei WANG Qinghai Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model Journal of Harbin University of Science and Technology interval value dual hesitant fuzzy sets neighborhood system β coverage rough sets multi-attribute decision making |
| title | Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model |
| title_full | Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model |
| title_fullStr | Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model |
| title_full_unstemmed | Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model |
| title_short | Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model |
| title_sort | study on interval valued dual hesitant fuzzy β covering rough set model |
| topic | interval value dual hesitant fuzzy sets neighborhood system β coverage rough sets multi-attribute decision making |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2358 |
| work_keys_str_mv | AT renhaowei studyonintervalvalueddualhesitantfuzzybcoveringroughsetmodel AT wangqinghai studyonintervalvalueddualhesitantfuzzybcoveringroughsetmodel |