IDEAS home Printed from https://ideas.repec.org/a/bpj/jossai/v4y2016i6p574-586n7.html
   My bibliography  Save this article

Multiattribute Decision Making Method Based on Intuitionistic Linguistic Aggregation Operator

Author

Listed:
  • Chen Jing
  • Wang Zhongxing

    (College of Mathematics and Information Science, Guangxi University, Nanning, 530004, China)

Abstract

In this paper, some new operational laws for intuitionistic linguistic numbers are defined via Archimedean t-norm and s-norm. The prominent feature of these operations is that these operations are closed. Some main properties of these operations, like commutativity, associativity and distribution law, are investigated. Based on these operational laws, intuitionistic linguistic weighted arithmetic averaging operator is given to aggregate intuitionistic linguistic information. Furthermore, in order to reduce uncertain information of intuitionistic linguistic number, hesitancy degree is divided into degrees of membership and non-membership in proportions, and new expected function and score function are built and used to rank intuitionistic linguistic numbers. Finally, an approach is proposed to solve multiattribute decision making problems in which attribute weights are real numbers and attribute values are intuitionistic linguistic numbers, and a real example is provided to show the effectiveness and applicability of the new method.

Suggested Citation

  • Chen Jing & Wang Zhongxing, 2016. "Multiattribute Decision Making Method Based on Intuitionistic Linguistic Aggregation Operator," Journal of Systems Science and Information, De Gruyter, vol. 4(6), pages 574-586, December.
    • Handle: RePEc:bpj:jossai:v:4:y:2016:i:6:p:574-586:n:7
    DOI: 10.21078/JSSI-2016-574-13
    as

    Download full text from publisher

    File URL: https://doi.org/10.21078/JSSI-2016-574-13
    Download Restriction: no
    File URL: https://libkey.io/10.21078/JSSI-2016-574-13?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
    ---><---

    References listed on IDEAS

    as
    1. Zeshui Xu, 2006. "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information," Group Decision and Negotiation, Springer, vol. 15(6), pages 593-604, November.
    Full references (including those not matched with items on IDEAS)

    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. Qian-Yun Tan & Cui-Ping Wei & Qi Liu & Xiang-Qian Feng, 2016. "The Hesitant Fuzzy Linguistic TOPSIS Method Based on Novel Information Measures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-22, October.
    3. Zhengmin Liu & Peide Liu, 2017. "Intuitionistic uncertain linguistic partitioned Bonferroni means and their application to multiple attribute decision-making," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(5), pages 1092-1105, April.
    4. Peide Liu & Xinli You, 2018. "Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-26, March.
    5. Bingsheng Liu & Meiqing Fu & Shuibo Zhang & Bin Xue & Qi Zhou & Shiruo Zhang, 2018. "An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 407-424, January.
    6. Xia Liang & Fei Teng & Yan Sun, 2020. "Multiple Group Decision Making for Selecting Emergency Alternatives: A Novel Method Based on the LDWPA Operator and LD-MABAC," IJERPH, MDPI, vol. 17(8), pages 1-20, April.
    7. Kedong Yin & Pengyu Wang & Xuemei Li, 2017. "The Multi-Attribute Group Decision-Making Method Based on Interval Grey Trapezoid Fuzzy Linguistic Variables," IJERPH, MDPI, vol. 14(12), pages 1-16, December.
    8. Jiefeng Wang & Shouzhen Zeng & Chonghui Zhang, 2020. "Single-Valued Neutrosophic Linguistic Logarithmic Weighted Distance Measures and Their Application to Supplier Selection of Fresh Aquatic Products," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    9. Ji Chen & Shouzhen Zeng & Chonghui Zhang, 2018. "An OWA Distance-Based, Single-Valued Neutrosophic Linguistic TOPSIS Approach for Green Supplier Evaluation and Selection in Low-Carbon Supply Chains," IJERPH, MDPI, vol. 15(7), pages 1-15, July.
    10. Pankaj Gupta & Mukesh Kumar Mehlawat & Faizan Ahemad, 2023. "Selection of renewable energy sources: a novel VIKOR approach in an intuitionistic fuzzy linguistic environment," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(4), pages 3429-3467, April.
    11. Amir Hosein Mahmoodi & Seyed Jafar Sadjadi & Soheil Sadi-Nezhad & Roya Soltani & Farzad Movahedi Sobhani, 2020. "Linguistic Z-number weighted averaging operators and their application to portfolio selection problem," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-34, January.
    12. 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.
    13. 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.
    14. Zhang-peng Tian & Jing Wang & Jian-qiang Wang & Hong-yu Zhang, 2017. "Simplified Neutrosophic Linguistic Multi-criteria Group Decision-Making Approach to Green Product Development," Group Decision and Negotiation, Springer, vol. 26(3), pages 597-627, May.

    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:bpj:jossai:v:4:y:2016:i:6:p:574-586:n: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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.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.