An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights
As an attractive generalization to hesitant fuzzy linguistic term set, double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) is used to represent complex linguistic expressions by providing rich and flexible context. Previous studies on DHHFLTS show that aggregation of preference information...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer
2020-06-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125941258/view |
| _version_ | 1818229955936387072 |
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| author | Raghunathan Krishankumar Kattur Soundarapandian Ravichandran Huchang Liao Samarjit Kar |
| author_facet | Raghunathan Krishankumar Kattur Soundarapandian Ravichandran Huchang Liao Samarjit Kar |
| author_sort | Raghunathan Krishankumar |
| collection | DOAJ |
| description | As an attractive generalization to hesitant fuzzy linguistic term set, double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) is used to represent complex linguistic expressions by providing rich and flexible context. Previous studies on DHHFLTS show that aggregation of preference information does not consider the interrelationship among attributes. Motivated by this challenge, in this paper, we extend the generalized Maclaurin symmetric mean (GMSM) operator to DHHFLTS. The GMSM operator is highly generalized and captures the interrelationship among attributes effectively. The attributes' weight values are determined by using statistical variance method under DHHFLTS context. The decision makers' weights are calculated by using newly proposed evidence theory-based Bayesian approximation method with double hierarchy preference information. A new extension to the Borda method is provided under DHHFLTS context for prioritizing objects. Also, the applicability of the proposed method is demonstrated by using a green supplier selection problem for a sports company. Finally, the superiorities and limitations of the proposed method are discussed in comparison with similar methods. |
| first_indexed | 2024-12-12T10:26:50Z |
| format | Article |
| id | doaj.art-6f4131c2038947f8abb13d5a6069df74 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-12-12T10:26:50Z |
| publishDate | 2020-06-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-6f4131c2038947f8abb13d5a6069df742022-12-22T00:27:26ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832020-06-0113110.2991/ijcis.d.200527.002An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown WeightsRaghunathan KrishankumarKattur Soundarapandian RavichandranHuchang LiaoSamarjit KarAs an attractive generalization to hesitant fuzzy linguistic term set, double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) is used to represent complex linguistic expressions by providing rich and flexible context. Previous studies on DHHFLTS show that aggregation of preference information does not consider the interrelationship among attributes. Motivated by this challenge, in this paper, we extend the generalized Maclaurin symmetric mean (GMSM) operator to DHHFLTS. The GMSM operator is highly generalized and captures the interrelationship among attributes effectively. The attributes' weight values are determined by using statistical variance method under DHHFLTS context. The decision makers' weights are calculated by using newly proposed evidence theory-based Bayesian approximation method with double hierarchy preference information. A new extension to the Borda method is provided under DHHFLTS context for prioritizing objects. Also, the applicability of the proposed method is demonstrated by using a green supplier selection problem for a sports company. Finally, the superiorities and limitations of the proposed method are discussed in comparison with similar methods.https://www.atlantis-press.com/article/125941258/viewBayesian approximationBorda methodDouble hierarchy hesitant fuzzy linguistic term setEvidence theoryGroup decision-makingMaclaurin symmetric mean |
| spellingShingle | Raghunathan Krishankumar Kattur Soundarapandian Ravichandran Huchang Liao Samarjit Kar An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights International Journal of Computational Intelligence Systems Bayesian approximation Borda method Double hierarchy hesitant fuzzy linguistic term set Evidence theory Group decision-making Maclaurin symmetric mean |
| title | An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights |
| title_full | An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights |
| title_fullStr | An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights |
| title_full_unstemmed | An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights |
| title_short | An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights |
| title_sort | integrated decision framework for group decision making with double hierarchy hesitant fuzzy linguistic information and unknown weights |
| topic | Bayesian approximation Borda method Double hierarchy hesitant fuzzy linguistic term set Evidence theory Group decision-making Maclaurin symmetric mean |
| url | https://www.atlantis-press.com/article/125941258/view |
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