Regression methods for hesitant fuzzy preference relations
In this paper, we develop two regression methods that transform hesitant fuzzy preference relations (HFPRs) into fuzzy preference relations (FPRs). On the basis of the complete consistency, reduced FPRs with the highest consistency levels can be derived from HFPRs. Compared with a straightforward me...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2014-01-01
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| Series: | Technological and Economic Development of Economy |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/TEDE/article/view/4328 |
| _version_ | 1798022952609906688 |
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| author | Bin Zhu Zeshui Xu |
| author_facet | Bin Zhu Zeshui Xu |
| author_sort | Bin Zhu |
| collection | DOAJ |
| description | In this paper, we develop two regression methods that transform hesitant fuzzy preference relations (HFPRs) into fuzzy preference relations (FPRs). On the basis of the complete consistency, reduced FPRs with the highest consistency levels can be derived from HFPRs. Compared with a straightforward method, this regression method is more efficient in the Matlab environment. Based on the weak consistency, another regression method is developed to transform HFPRs into reduced FPRs which satisfy the weak consistency. Two algorithms are proposed for the two regression methods, and some examples are provided to verify the practicality and superiority of the proposed methods. |
| first_indexed | 2024-04-11T17:38:20Z |
| format | Article |
| id | doaj.art-f15c1ebbcbfa4296ad803fde781f1930 |
| institution | Directory Open Access Journal |
| issn | 2029-4913 2029-4921 |
| language | English |
| last_indexed | 2024-04-11T17:38:20Z |
| publishDate | 2014-01-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Technological and Economic Development of Economy |
| spelling | doaj.art-f15c1ebbcbfa4296ad803fde781f19302022-12-22T04:11:33ZengVilnius Gediminas Technical UniversityTechnological and Economic Development of Economy2029-49132029-49212014-01-0119110.3846/20294913.2014.881430Regression methods for hesitant fuzzy preference relationsBin Zhu0Zeshui Xu1School of Economics and Management, Southeast University, Nanjing, 211189 Jiangsu, ChinaBusiness School, Sichuan University, Chengdu, 610064 Sichuan, ChinaIn this paper, we develop two regression methods that transform hesitant fuzzy preference relations (HFPRs) into fuzzy preference relations (FPRs). On the basis of the complete consistency, reduced FPRs with the highest consistency levels can be derived from HFPRs. Compared with a straightforward method, this regression method is more efficient in the Matlab environment. Based on the weak consistency, another regression method is developed to transform HFPRs into reduced FPRs which satisfy the weak consistency. Two algorithms are proposed for the two regression methods, and some examples are provided to verify the practicality and superiority of the proposed methods.https://journals.vgtu.lt/index.php/TEDE/article/view/4328hesitant fuzzy preference relation (HFPR)fuzzy preference relation (FPR)complete consistencyweak consistencyconsistency level |
| spellingShingle | Bin Zhu Zeshui Xu Regression methods for hesitant fuzzy preference relations Technological and Economic Development of Economy hesitant fuzzy preference relation (HFPR) fuzzy preference relation (FPR) complete consistency weak consistency consistency level |
| title | Regression methods for hesitant fuzzy preference relations |
| title_full | Regression methods for hesitant fuzzy preference relations |
| title_fullStr | Regression methods for hesitant fuzzy preference relations |
| title_full_unstemmed | Regression methods for hesitant fuzzy preference relations |
| title_short | Regression methods for hesitant fuzzy preference relations |
| title_sort | regression methods for hesitant fuzzy preference relations |
| topic | hesitant fuzzy preference relation (HFPR) fuzzy preference relation (FPR) complete consistency weak consistency consistency level |
| url | https://journals.vgtu.lt/index.php/TEDE/article/view/4328 |
| work_keys_str_mv | AT binzhu regressionmethodsforhesitantfuzzypreferencerelations AT zeshuixu regressionmethodsforhesitantfuzzypreferencerelations |