A Novel Group Decision-Making Method with Adjustment Willingness in a Distributed Hesitant Fuzzy Linguistic Environment
This research aims to construct a group decision-making (GDM) method that considers decision makers’ (DMs’) willingness to adjust in a distributed hesitant fuzzy linguistic (DHFL) environment. First, to address the practical scenario where DMs may express preferences using multiple linguistic values...
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MDPI AG
2025-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/7/1186 |
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| author | Xiao Liang Xiaoxia Xu Francisco Javier Cabrerizo |
| author_facet | Xiao Liang Xiaoxia Xu Francisco Javier Cabrerizo |
| author_sort | Xiao Liang |
| collection | DOAJ |
| description | This research aims to construct a group decision-making (GDM) method that considers decision makers’ (DMs’) willingness to adjust in a distributed hesitant fuzzy linguistic (DHFL) environment. First, to address the practical scenario where DMs may express preferences using multiple linguistic values with explicit preference strengths, this paper extends the distributed hesitant fuzzy linguistic preference relation (DHFLPR) and supplements missing probabilities. Second, we integrate multiplicative consistency and consensus within a DHFL environment to construct two preference optimization models, whose objective functions are to minimize the overall adjustment based on DMs’ willingness to adjust, thus making the decision more consistent with actual environments. Finally, the viability and effectiveness of the new method are validated by numerical examples. The results show that our new method allows individual preferences to quickly meet the consistency requirement while maximally preserving their original preferences. Additionally, the DHFLPRs maintain the fuzziness and hesitancy in the new preferences, and effectively address the issue of unequal importance among distinct linguistic preference values. |
| format | Article |
| id | doaj-art-a1123d2e3c474610b2feff30a97f62e2 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-a1123d2e3c474610b2feff30a97f62e22025-08-20T03:08:57ZengMDPI AGMathematics2227-73902025-04-01137118610.3390/math13071186A Novel Group Decision-Making Method with Adjustment Willingness in a Distributed Hesitant Fuzzy Linguistic EnvironmentXiao Liang0Xiaoxia Xu1Francisco Javier Cabrerizo2School of Management Science and Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, ChinaResearch Center of Risk Management and Emergency Decision Making, School of Management Science and Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, ChinaAndalusian Research Institute in Data Science and Computational Intelligence, Department of Computer Science and Artificial Intelligence, University of Granada, 18071 Granada, SpainThis research aims to construct a group decision-making (GDM) method that considers decision makers’ (DMs’) willingness to adjust in a distributed hesitant fuzzy linguistic (DHFL) environment. First, to address the practical scenario where DMs may express preferences using multiple linguistic values with explicit preference strengths, this paper extends the distributed hesitant fuzzy linguistic preference relation (DHFLPR) and supplements missing probabilities. Second, we integrate multiplicative consistency and consensus within a DHFL environment to construct two preference optimization models, whose objective functions are to minimize the overall adjustment based on DMs’ willingness to adjust, thus making the decision more consistent with actual environments. Finally, the viability and effectiveness of the new method are validated by numerical examples. The results show that our new method allows individual preferences to quickly meet the consistency requirement while maximally preserving their original preferences. Additionally, the DHFLPRs maintain the fuzziness and hesitancy in the new preferences, and effectively address the issue of unequal importance among distinct linguistic preference values.https://www.mdpi.com/2227-7390/13/7/1186group decision making (GDM)consensusmultiplicative consistencydistributed hesitant fuzzy linguistic preference relations (DHFLPRs)willingness to adjust |
| spellingShingle | Xiao Liang Xiaoxia Xu Francisco Javier Cabrerizo A Novel Group Decision-Making Method with Adjustment Willingness in a Distributed Hesitant Fuzzy Linguistic Environment Mathematics group decision making (GDM) consensus multiplicative consistency distributed hesitant fuzzy linguistic preference relations (DHFLPRs) willingness to adjust |
| title | A Novel Group Decision-Making Method with Adjustment Willingness in a Distributed Hesitant Fuzzy Linguistic Environment |
| title_full | A Novel Group Decision-Making Method with Adjustment Willingness in a Distributed Hesitant Fuzzy Linguistic Environment |
| title_fullStr | A Novel Group Decision-Making Method with Adjustment Willingness in a Distributed Hesitant Fuzzy Linguistic Environment |
| title_full_unstemmed | A Novel Group Decision-Making Method with Adjustment Willingness in a Distributed Hesitant Fuzzy Linguistic Environment |
| title_short | A Novel Group Decision-Making Method with Adjustment Willingness in a Distributed Hesitant Fuzzy Linguistic Environment |
| title_sort | novel group decision making method with adjustment willingness in a distributed hesitant fuzzy linguistic environment |
| topic | group decision making (GDM) consensus multiplicative consistency distributed hesitant fuzzy linguistic preference relations (DHFLPRs) willingness to adjust |
| url | https://www.mdpi.com/2227-7390/13/7/1186 |
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