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Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM

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  • Huimin Zhang

Abstract

To better deal with imprecise and uncertain information in decision making, the definition of linguistic intuitionistic fuzzy sets (LIFSs) is introduced, which is characterized by a linguistic membership degree and a linguistic nonmembership degree, respectively. To compare any two linguistic intuitionistic fuzzy values (LIFVs), the score function and accuracy function are defined. Then, based on t‐norm and t‐conorm, several aggregation operators are proposed to aggregate linguistic intuitionistic fuzzy information, which avoid the limitations in exiting linguistic operation. In addition, the desired properties of these linguistic intuitionistic fuzzy aggregation operators are discussed. Finally, a numerical example is provided to illustrate the efficiency of the proposed method in multiple attribute group decision making (MAGDM).

Suggested Citation

  • Huimin Zhang, 2014. "Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:432092
    DOI: 10.1155/2014/432092
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    References listed on IDEAS

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    1. Bin Zhu & Zeshui Xu & Meimei Xia, 2012. "Dual Hesitant Fuzzy Sets," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, May.
    2. Bin Zhu & Zeshui Xu & Meimei Xia, 2012. "Dual Hesitant Fuzzy Sets," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
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    Cited by:

    1. Zeeshan Ali & Tapan Senapati & Sarbast Moslem, 2025. "Selection of artificial intelligence tool for blind assistance based on Dombi aggregation operators for intuitionistic linguistic decision-making problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 16(5), pages 1844-1864, May.
    2. Muhammad Akram & Naila Ramzan & Feng Feng, 2022. "Extending COPRAS Method with Linguistic Fermatean Fuzzy Sets and Hamy Mean Operators," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

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