IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v22y2013i2d10.1007_s10726-011-9261-7.html
   My bibliography  Save this article

Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making

Author

Listed:
  • Meimei Xia

    (Southeast University)

  • Zeshui Xu

    (Southeast University)

  • Na Chen

    (Southeast University)

Abstract

Hesitancy is the most common problem in decision making, for which hesitant fuzzy set can be considered as a suitable means allowing several possible degrees for an element to a set. In this paper, we study the aggregation of the hesitancy fuzzy information. Several series of aggregation operators are proposed and the connections of them are discussed. To reflect the correlation of the aggregation arguments, two methods are proposed to determine the aggregation weight vectors. Based on the support degrees among aggregation arguments, the weight vector of decision makers are obtained more objectively. To deal with the correlation of criteria, we apply the Choquet integral to get the weights of criteria. A method is also proposed for group decision making under hesitant fuzzy environment.

Suggested Citation

  • Meimei Xia & Zeshui Xu & Na Chen, 2013. "Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 259-279, March.
    • Handle: RePEc:spr:grdene:v:22:y:2013:i:2:d:10.1007_s10726-011-9261-7
    DOI: 10.1007/s10726-011-9261-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-011-9261-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10726-011-9261-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    2. Büyüközkan, Gülçin & Feyzioglu, Orhan & Sakir Ersoy, Mehmet, 2009. "Evaluation of 4PL operating models: A decision making approach based on 2-additive Choquet integral," International Journal of Production Economics, Elsevier, vol. 121(1), pages 112-120, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Donata Marasini & Piero Quatto & Enrico Ripamonti, 2016. "Intuitionistic fuzzy sets in questionnaire analysis," Quality & Quantity: International Journal of Methodology, Springer, vol. 50(2), pages 767-790, March.
    2. Arunodaya Raj Mishra & Pratibha Rani & Raghunathan Krishankumar & Edmundas Kazimieras Zavadskas & Fausto Cavallaro & Kattur S. Ravichandran, 2021. "A Hesitant Fuzzy Combined Compromise Solution Framework-Based on Discrimination Measure for Ranking Sustainable Third-Party Reverse Logistic Providers," Sustainability, MDPI, vol. 13(4), pages 1-24, February.
    3. Palash Dutta & Rupjit Saikia, 2020. "A Decision-making Approach for Choosing a Reliable Product under the Hesitant Fuzzy Environment via a Novel Distance Measure," Vikalpa: The Journal for Decision Makers, , vol. 45(3), pages 147-159, September.
    4. Muhammad Akram & Maham Arshad, 2019. "A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making," Group Decision and Negotiation, Springer, vol. 28(3), pages 565-584, June.
    5. Rajkumar Verma & Bhu Dev Sharma, 2013. "New operations over hesitant fuzzy sets," Fuzzy Information and Engineering, Springer, vol. 5(2), pages 129-146, June.
    6. Sheng-Hua Xiong & Zhen-Song Chen & Yan-Lai Li & Kwai-Sang Chin, 2016. "On Extending Power-Geometric Operators to Interval-Valued Hesitant Fuzzy Sets and Their Applications to Group Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1055-1114, September.
    7. Wang Feng, 2019. "Aggregation Similarity Measure Based on Hesitant Fuzzy Closeness Degree and Its Application to Clustering Analysis," Journal of Systems Science and Information, De Gruyter, vol. 7(1), pages 70-89, February.
    8. Lifei Zhang & Fanyong Meng, 2018. "An Approach to Interval-Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on the Generalized Shapley-Choquet Integral," Complexity, Hindawi, vol. 2018, pages 1-19, June.
    9. Zhu, Bin & Xu, Zeshui & Zhang, Ren & Hong, Mei, 2015. "Generalized analytic network process," European Journal of Operational Research, Elsevier, vol. 244(1), pages 277-288.
    10. Arooj Adeel & Muhammad Akram & Ali N.A. Koam, 2019. "Multi-Criteria Decision-Making under m HF ELECTRE-I and H m F ELECTRE-I," Energies, MDPI, vol. 12(9), pages 1-30, May.
    11. Galo, Nadya Regina & Calache, Lucas Daniel Del Rosso & Carpinetti, Luiz Cesar Ribeiro, 2018. "A group decision approach for supplier categorization based on hesitant fuzzy and ELECTRE TRI," International Journal of Production Economics, Elsevier, vol. 202(C), pages 182-196.
    12. Li Li & Jin Yang, 2024. "Disturbing Fuzzy Multi-Attribute Decision-Making Method with If Weight Information Is Disturbing Fuzzy Number," Mathematics, MDPI, vol. 12(8), pages 1-13, April.
    13. Bai, Chunguang & Zhu, Qingyun & Sarkis, Joseph, 2021. "Joint blockchain service vendor-platform selection using social network relationships: A multi-provider multi-user decision perspective," International Journal of Production Economics, Elsevier, vol. 238(C).
    14. Xiaorong He, 2018. "Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 90(3), pages 1153-1175, February.
    15. Mi Jung Son & Jin Han Park & Ka Hyun Ko, 2019. "Some Hesitant Fuzzy Hamacher Power-Aggregation Operators for Multiple-Attribute Decision-Making," Mathematics, MDPI, vol. 7(7), pages 1-33, July.
    16. Wenjun Chang & Chao Fu & Nanping Feng & Shanlin Yang, 2021. "Multi-criteria Group Decision Making with Various Ordinal Assessments," Group Decision and Negotiation, Springer, vol. 30(6), pages 1285-1314, December.
    17. Liu, Bingsheng & Shen, Yinghua & Zhang, Wei & Chen, Xiaohong & Wang, Xueqing, 2015. "An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making," European Journal of Operational Research, Elsevier, vol. 245(1), pages 209-225.
    18. Gitinavard, Hossein & Mousavi, S. Meysam & Vahdani, Behnam, 2017. "Soft computing based on hierarchical evaluation approach and criteria interdependencies for energy decision-making problems: A case study," Energy, Elsevier, vol. 118(C), pages 556-577.
    19. Xiaoyan Zhang & Qian Yang, 2022. "A Novel Method for Decision Making by Double-Quantitative Rough Sets in Hesitant Fuzzy Systems," Mathematics, MDPI, vol. 10(12), pages 1-24, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ni Li & Minghui Sun & Zhuming Bi & Zeya Su & Chao Wang, 2014. "A new methodology to support group decision-making for IoT-based emergency response systems," Information Systems Frontiers, Springer, vol. 16(5), pages 953-977, November.
    2. Zeshui Xu, 2013. "Compatibility Analysis of Intuitionistic Fuzzy Preference Relations in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(3), pages 463-482, May.
    3. Xunjie Gou & Zeshui Xu & Huchang Liao, 2019. "Hesitant Fuzzy Linguistic Possibility Degree-Based Linear Assignment Method for Multiple Criteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 35-63, January.
    4. Valerio Elia & Maria Grazia Gnoni & Fabiana Tornese, 2024. "On-Demand Warehousing Platforms: Evolution and Trend Analysis of an Industrial Sharing Economy Model," Logistics, MDPI, vol. 8(4), pages 1-16, September.
    5. Xunjie Gou & Zeshui Xu & Xinxin Wang & Huchang Liao, 2021. "Managing consensus reaching process with self-confident double hierarchy linguistic preference relations in group decision making," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 51-79, March.
    6. Sumin Yu & Zhijiao Du & Xuanhua Xu, 2021. "Hierarchical Punishment-Driven Consensus Model for Probabilistic Linguistic Large-Group Decision Making with Application to Global Supplier Selection," Group Decision and Negotiation, Springer, vol. 30(6), pages 1343-1372, December.
    7. Cherneva, Denitsa & Voigt, Kai-Ingo, 2015. "Outsourcing to 4PLs – Opportunities, Challenges, Future Outlook," Chapters from the Proceedings of the Hamburg International Conference of Logistics (HICL), in: Kersten, Wolfgang & Blecker, Thorsten & Ringle, Christian M. (ed.), Innovations and Strategies for Logistics and Supply Chains: Technologies, Business Models and Risk Management. Proceedings of the Hamburg Internationa, volume 20, pages 231-255, Hamburg University of Technology (TUHH), Institute of Business Logistics and General Management.
    8. Xing Gao & Cheng Shi & Keyu Zhai, 2018. "An Evaluation of Environmental Governance in Urban China Based on a Hesitant Fuzzy Linguistic Analytic Network Process," IJERPH, MDPI, vol. 15(11), pages 1-20, November.
    9. Wanying Xie & Zeshui Xu & Zhiliang Ren & Hai Wang, 2018. "Probabilistic Linguistic Analytic Hierarchy Process and Its Application on the Performance Assessment of Xiongan New Area," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(06), pages 1693-1724, November.
    10. Wu, Xingli & Liao, Huchang, 2019. "A consensus-based probabilistic linguistic gained and lost dominance score method," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1017-1027.
    11. Feifei Jin & Zhiwei Ni & Reza Langari & Huayou Chen, 2020. "Consistency Improvement-Driven Decision-Making Methods with Probabilistic Multiplicative Preference Relations," Group Decision and Negotiation, Springer, vol. 29(2), pages 371-397, April.
    12. Min Xue & Chao Fu & Shanlin Yang, 2022. "A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 71-97, March.
    13. Huchang Liao & Guangsen Si & Zeshui Xu & Hamido Fujita, 2018. "Hesitant Fuzzy Linguistic Preference Utility Set and Its Application in Selection of Fire Rescue Plans," IJERPH, MDPI, vol. 15(4), pages 1-18, April.
    14. Rui Lin & Guiwu Wei & Hongjun Wang & Xiaofei Zhao, 2014. "Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 15(5), pages 795-809, November.
    15. Tapia García, Juan Miguel & Del Moral Ávila, María José & Tapia García, Cristóbal & Martínez, María de los Ángeles & Amor Pulido, Raúl, 2012. "Un problema de consenso para problemas de toma de decisiones multicriterio en grupo mediante relaciones de preferencia intervalares difusas lingüísticas || A Consensus Model for Group Multicriteria De," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 14(1), pages 36-53, December.
    16. Wang, Chao & Lim, Ming K & Zhao, Longfeng & Tseng, Ming-Lang & Chien, Chen-Fu & Lev, Benjamin, 2020. "The evolution of Omega-The International Journal of Management Science over the past 40 years: A bibliometric overview," Omega, Elsevier, vol. 93(C).
    17. Hui Lin & Zhou-Jing Wang, 2017. "Linguistic Multi-Attribute Group Decision Making with Risk Preferences and Its Use in Low-Carbon Tourism Destination Selection," IJERPH, MDPI, vol. 14(9), pages 1-14, September.
    18. Jiahui Chai & Sidong Xian & Sichong Lu, 2021. "Z probabilistic linguistic term sets and its application in multi-attribute group decision making," Fuzzy Optimization and Decision Making, Springer, vol. 20(4), pages 529-566, December.
    19. Sun, Bingzhen & Ma, Weimin, 2015. "An approach to consensus measurement of linguistic preference relations in multi-attribute group decision making and application," Omega, Elsevier, vol. 51(C), pages 83-92.
    20. Yuan Rong & Yi Liu & Zheng Pei, 2020. "Novel Multiple Attribute Group Decision-Making Methods Based on Linguistic Intuitionistic Fuzzy Information," Mathematics, MDPI, vol. 8(3), pages 1-30, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:grdene:v:22:y:2013:i:2:d:10.1007_s10726-011-9261-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.