IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v21y2012i4d10.1007_s10726-010-9225-3.html
   My bibliography  Save this article

Induced and Linguistic Generalized Aggregation Operators and Their Application in Linguistic Group Decision Making

Author

Listed:
  • José M. Merigó

    (University of Barcelona)

  • Anna M. Gil-Lafuente

    (University of Barcelona)

  • Li-Gang Zhou

    (Anhui University)

  • Hua-You Chen

    (Anhui University)

Abstract

We introduce a wide range of induced and linguistic generalized aggregation operators. First, we present the induced linguistic generalized ordered weighted averaging (ILGOWA) operator. It is a generalization of the OWA operator that uses linguistic variables, order inducing variables and generalized means in order to provide a more general formulation. One of its main results is that it includes a wide range of linguistic aggregation operators such as the induced linguistic OWA (ILOWA), the induced linguistic OWG (ILOWG) and the linguistic generalized OWA (LGOWA) operator. We further generalize the ILGOWA operator by using quasi-arithmetic means obtaining the induced linguistic quasi-arithmetic OWA (Quasi-ILOWA) operator and by using hybrid averages forming the induced linguistic generalized hybrid average (ILGHA) operator. We also present a further extension with Choquet integrals. We call it the induced linguistic generalized Choquet integral aggregation (ILGCIA). We end the paper with an application of the new approach in a linguistic group decision making problem.

Suggested Citation

  • José M. Merigó & Anna M. Gil-Lafuente & Li-Gang Zhou & Hua-You Chen, 2012. "Induced and Linguistic Generalized Aggregation Operators and Their Application in Linguistic Group Decision Making," Group Decision and Negotiation, Springer, vol. 21(4), pages 531-549, July.
    • Handle: RePEc:spr:grdene:v:21:y:2012:i:4:d:10.1007_s10726-010-9225-3
    DOI: 10.1007/s10726-010-9225-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-010-9225-3
    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/s10726-010-9225-3?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. Zeshui Xu, 2009. "An Interactive Approach to Multiple Attribute Group Decision Making with Multigranular Uncertain Linguistic Information," Group Decision and Negotiation, Springer, vol. 18(2), pages 119-145, March.
    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. Xiaowen Qi & Junling Zhang & Changyong Liang, 2018. "Multiple Attributes Group Decision-Making Approaches Based on Interval-Valued Dual Hesitant Fuzzy Unbalanced Linguistic Set and Their Applications," Complexity, Hindawi, vol. 2018, pages 1-22, April.
    2. Byeong Seok Ahn, 2014. "Developing Group Ordered Weighted Averaging Operator Weights for Group Decision Support," Group Decision and Negotiation, Springer, vol. 23(5), pages 1127-1143, September.
    3. Junling Zhang & Xiaowen Qi & Changyong Liang, 2018. "Tackling Complexity in Green Contractor Selection for Mega Infrastructure Projects: A Hesitant Fuzzy Linguistic MADM Approach with considering Group Attitudinal Character and Attributes’ Interdependen," Complexity, Hindawi, vol. 2018, pages 1-31, December.
    4. Ligang Zhou & Zhifu Tao & Huayou Chen & Jinpei Liu, 2014. "Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure," Group Decision and Negotiation, Springer, vol. 23(4), pages 879-900, July.
    5. Pingtao Yi & Qiankun Dong & Weiwei Li, 2021. "A family of IOWA operators with reliability measurement under interval-valued group decision-making environment," Group Decision and Negotiation, Springer, vol. 30(3), pages 483-505, June.
    6. 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.
    7. Hui-Chin Tang & Shen-Tai Yang, 2018. "Optimizing Three-Dimensional Constrained Ordered Weighted Averaging Aggregation Problem with Bounded Variables," Mathematics, MDPI, vol. 6(9), pages 1-16, September.

    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. Pang, Jifang & Liang, Jiye, 2012. "Evaluation of the results of multi-attribute group decision-making with linguistic information," Omega, Elsevier, vol. 40(3), pages 294-301.
    2. Yang, Changhui & Zhang, Qiang & Ding, Shuai, 2015. "An evaluation method for innovation capability based on uncertain linguistic variables," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 160-174.
    3. 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.
    4. Merigó, José M. & Palacios-Marqués, Daniel & Zeng, Shouzhen, 2016. "Subjective and objective information in linguistic multi-criteria group decision making," European Journal of Operational Research, Elsevier, vol. 248(2), pages 522-531.
    5. Zeshui Xu & Xiaoqiang Cai, 2014. "Deriving Weights from Interval Multiplicative Preference Relations in Group Decision Making," Group Decision and Negotiation, Springer, vol. 23(4), pages 695-713, July.
    6. Yucheng Dong & Cong-Cong Li & Yinfeng Xu & Xin Gu, 2015. "Consensus-Based Group Decision Making Under Multi-granular Unbalanced 2-Tuple Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 24(2), pages 217-242, March.
    7. Yinfeng Du & Dun Liu, 2021. "A novel approach to relative importance ratings of customer requirements in QFD based on probabilistic linguistic preferences," Fuzzy Optimization and Decision Making, Springer, vol. 20(3), pages 365-395, September.
    8. Byeong Seok Ahn, 2014. "Developing Group Ordered Weighted Averaging Operator Weights for Group Decision Support," Group Decision and Negotiation, Springer, vol. 23(5), pages 1127-1143, September.
    9. Xiao-Kang Wang & Yi-Ting Wang & Jian-Qiang Wang & Peng-Fei Cheng & Lin Li, 2020. "A TODIM-PROMETHEE Ⅱ Based Multi-Criteria Group Decision Making Method for Risk Evaluation of Water Resource Carrying Capacity under Probabilistic Linguistic Z-Number Circumstances," Mathematics, MDPI, vol. 8(7), pages 1-27, July.
    10. Yuling Zhai & Zeshui Xu & Peijia Ren, 2019. "Differentiating the Personalized Information of the Physician-Patient Communication for the Chronic Obstructive Pulmonary Disease with General Probabilistic Vector Linguistic Terms," Complexity, Hindawi, vol. 2019, pages 1-21, November.
    11. Zeshui Xu & Xiaoqiang Cai, 2012. "Minimizing Group Discordance Optimization Model for Deriving Expert Weights," Group Decision and Negotiation, Springer, vol. 21(6), pages 863-875, November.
    12. Wang, Qun & Jia, Guozhu & Jia, Yuning & Song, Wenyan, 2021. "A new approach for risk assessment of failure modes considering risk interaction and propagation effects," Reliability Engineering and System Safety, Elsevier, vol. 216(C).

    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:21:y:2012:i:4:d:10.1007_s10726-010-9225-3. 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.