IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v28y2019i1d10.1007_s10726-018-9601-y.html
   My bibliography  Save this article

Intuitionistic Fuzzy Interaction Hamy Mean Operators and Their Application to Multi-attribute Group Decision Making

Author

Listed:
  • Peide Liu

    (Shandong University of Finance and Economics)

  • Yumei Wang

    (Shandong University of Finance and Economics)

Abstract

The Hamy mean (HM) operator, as a useful aggregation tool, is capable of capturing the correlations among multiple integrated parameters. In this paper, we expand HM operator to integrate intuitionistic fuzzy numbers (IFNs) on the basis of interaction operational rules of IFNs, and develop intuitionistic fuzzy interaction HM (IFIHM) operator and intuitionistic fuzzy weighted interaction HM (IFWIHM) operator. Moreover, we discuss some properties and particular cases of the IFIHM operator and the IFWIHM operator in detail. In addition, in real applications, there are many decision making problems with the interactions among multiple attributes, so we present a multi-attribute group decision making (MAGDM) method based on the IFWIHM operator. At the same time, the applicability and validity of the proposed MAGDM method is illustrated clearly by using an example concerning the evaluation of scenic spots. Finally, comparing with the existing approaches, the merits of the proposed MAGDM method are demonstrated, i.e., it can deal with MAGDM problems by considering the interactions among multiple attributes based on the IFWIHM operator which is a generalization of most existing operators, and it can also overcome the weaknesses existed in the traditional operational laws of IFNs.

Suggested Citation

  • Peide Liu & Yumei Wang, 2019. "Intuitionistic Fuzzy Interaction Hamy Mean Operators and Their Application to Multi-attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 28(1), pages 197-232, February.
    • Handle: RePEc:spr:grdene:v:28:y:2019:i:1:d:10.1007_s10726-018-9601-y
    DOI: 10.1007/s10726-018-9601-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-018-9601-y
    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/s10726-018-9601-y?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. Yan Wang & Chengyu Xi & Shuai Zhang & Wenyu Zhang & Dejian Yu, 2015. "Combined Approach for Government E-Tendering Using GA and TOPSIS with Intuitionistic Fuzzy Information," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-20, July.
    2. Mahsa Montajabiha, 2016. "An Extended PROMETHE II Multi-Criteria Group Decision Making Technique Based on Intuitionistic Fuzzy Logic for Sustainable Energy Planning," Group Decision and Negotiation, Springer, vol. 25(2), pages 221-244, March.
    3. Lili RONG & Peide LIU & Yanchang CHU, 2016. "Multiple Attribute Group Decision Making Methods Based on Intuitionistic Fuzzy Generalized Hamacher Aggregation Operator," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(2), pages 211-230.
    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. Li Li & Hegong Lei & Jun Wang, 2020. "Q -Rung Probabilistic Dual Hesitant Fuzzy Sets and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 8(9), pages 1-34, September.
    2. Shouzhen Zeng & Dandan Luo & Chonghui Zhang & Xingsen Li, 2020. "A Correlation-Based TOPSIS Method for Multiple Attribute Decision Making with Single-Valued Neutrosophic Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 343-358, February.
    3. Qaisar Khan & Jeonghwan Gwak & Muhammad Shahzad & Muhammad Kamran Alam, 2021. "A Novel Approached Based on T-Spherical Fuzzy Schweizer-Sklar Power Heronian Mean Operator for Evaluating Water Reuse Applications under Uncertainty," Sustainability, MDPI, vol. 13(13), pages 1-35, June.
    4. 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.
    5. Zhengmin Liu & Lin Li & Xiaolan Zhao & Linbin Sha & Di Wang & Xinya Wang & Peide Liu, 2020. "Selecting the Optimal Green Agricultural Products Supplier: A Novel Approach Based on GBWM and PROMETHEE II," Sustainability, MDPI, vol. 12(17), pages 1-23, August.
    6. Zongxian Liu & Wenshuai Song & Bo Cui & Xiaoling Wang & Hongling Yu, 2019. "A Comprehensive Evaluation Model for Curtain Grouting Efficiency Assessment Based on Prospect Theory and Interval-Valued Intuitionistic Fuzzy Sets Extended by Improved D Numbers," Energies, MDPI, vol. 12(19), pages 1-30, 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. Nasrollahi, Sadaf & Kazemi, Aliyeh & Jahangir, Mohammad-Hossein & Aryaee, Sara, 2023. "Selecting suitable wave energy technology for sustainable development, an MCDM approach," Renewable Energy, Elsevier, vol. 202(C), pages 756-772.
    2. Hong Li & Zilin Chen, 2022. "A Comprehensive Evaluation Framework to Assess the Sustainable Development of Schools within a University: Application to a Chinese University," Sustainability, MDPI, vol. 14(17), pages 1-12, August.
    3. Víctor Blanco & Román Salmerón & Samuel Gómez-Haro, 2018. "A Multicriteria Selection System Based on Player Performance: Case Study—The Spanish ACB Basketball League," Group Decision and Negotiation, Springer, vol. 27(6), pages 1029-1046, December.
    4. Juan Carlos Osorio-Aravena & Marina Frolova & Julio Terrados-Cepeda & Emilio Muñoz-Cerón, 2020. "Spatial Energy Planning: A Review," Energies, MDPI, vol. 13(20), pages 1-14, October.
    5. repec:eco:journ2:2017-04-12 is not listed on IDEAS
    6. Ryszard Dachowski & Katarzyna Gałek, 2020. "Selection of the Best Method for Underpinning Foundations Using the PROMETHEE II Method," Sustainability, MDPI, vol. 12(13), pages 1-10, July.
    7. Honghao Zhang & Yong Peng & Guangdong Tian & Danqi Wang & Pengpeng Xie, 2017. "Green material selection for sustainability: A hybrid MCDM approach," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-26, May.
    8. Wei-Hsiu Hsu & Li-Ju Lai & Yo-Ping Huang & Avichandra Singh, 2019. "Association Analysis of Scoliosis Based on Backpack Carrying Methods and Head Positions of Elementary School Students," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 13(5), pages 10222-10232, January.
    9. da Cunha, Richard Alex & Rangel, Luís Alberto Duncan & Rudolf, Christian A. & Santos, Luiza dos, 2022. "A decision support approach employing the PROMETHEE method and risk factors for critical supply assessment in large-scale projects," Operations Research Perspectives, Elsevier, vol. 9(C).
    10. Long, Yilu & Tang, Ming & Liao, Huchang, 2022. "Renewable energy source technology selection considering the empathetic preferences of experts in a cognitive fuzzy social participatory allocation network," Technological Forecasting and Social Change, Elsevier, vol. 175(C).
    11. Liang Li & Yanwu Liu & Yan Tu & Xiaoyang Zhou & Benjamin Lev, 2022. "A Novel Group TODIM Method Based on Multi-Granularity Proportional Hesitant Fuzzy Linguistic Term Sets for Water Resources Risk Evaluation," Group Decision and Negotiation, Springer, vol. 31(5), pages 913-944, October.
    12. Cavallaro, Fausto & Zavadskas, Edmundas Kazimieras & Streimikiene, Dalia & Mardani, Abbas, 2019. "Assessment of concentrated solar power (CSP) technologies based on a modified intuitionistic fuzzy topsis and trigonometric entropy weights," Technological Forecasting and Social Change, Elsevier, vol. 140(C), pages 258-270.
    13. Wu, Yunna & Xu, Chuanbo & Ke, Yiming & Chen, Kaifeng & Sun, Xiaokun, 2018. "An intuitionistic fuzzy multi-criteria framework for large-scale rooftop PV project portfolio selection: Case study in Zhejiang, China," Energy, Elsevier, vol. 143(C), pages 295-309.
    14. Alfred Benedikt Brendel & Friedrich Chasin & Milad Mirbabaie & Dennis M. Riehle & Christine Harnischmacher, 2022. "Review of Design-Oriented Green Information Systems Research," Sustainability, MDPI, vol. 14(8), pages 1-33, April.
    15. Prabha Bhola & Alexandros-Georgios Chronis & Panos Kotsampopoulos & Nikos Hatziargyriou, 2023. "Business Model Selection for Community Energy Storage: A Multi Criteria Decision Making Approach," Energies, MDPI, vol. 16(18), pages 1-30, September.

    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:28:y:2019:i:1:d:10.1007_s10726-018-9601-y. 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.