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AIMS Mathematics

2023, Volume 8, Issue 12: 30445-30461. doi: 10.3934/math.20231555
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Research article

Intuitionistic fuzzy monotonic DOWA operators

  • 1.
    School of Data Science and Intelligent Engineering, Xiamen Institute of Technology, Xiamen 361021, China
  • 2.
    School of Artificial Intelligence, Beijing Normal University, Beijing 100875, China
  • 3.
    Business School, Sichuan University, Wuhou District, Chengdu 610064, China
  • Received: 06 August 2023 Revised: 17 September 2023 Accepted: 21 September 2023 Published: 09 November 2023

  • MSC : 03E72, 28E10, 47S40

  • A new measure for intuitionistic fuzzy numbers (IFNs) is proposed to reflect the magnitude of IFNs, and a novel ranking approach for IFNs is presented based on this measure. Furthermore, the theoretical basis of the ranking method is investigated, and several intuitionistic fuzzy monotonic dependent ordered weighted averaging (IFMDOWA) operators are developed, such as the conservative IFMDOWA (COV-IFMDOWA) operator, positive intuitionistic fuzzy monotonic DOWA (POS-IFMDOWA) operator, conservative intuitionistic fuzzy hybrid monotonic dependent order weighted averaging (COV-IFHMDOWA) operator, and positive intuitionistic fuzzy hybrid monotonic dependent order weighted averaging (POS-IFHMDOWA) operator. Finally, a numerical example is given to illustrate the flexibility of our proposed monotonic dependent order weighted averaging operators in a practical decision making process.

    Citation: Zhichun Xie, Rong Ma, Deqing Li, Qianhui Wan, Wenyi Zeng, Xianchuan Yu, Zeshui Xu. Intuitionistic fuzzy monotonic DOWA operators[J]. AIMS Mathematics, 2023, 8(12): 30445-30461. doi: 10.3934/math.20231555

    Related Papers:

  • A new measure for intuitionistic fuzzy numbers (IFNs) is proposed to reflect the magnitude of IFNs, and a novel ranking approach for IFNs is presented based on this measure. Furthermore, the theoretical basis of the ranking method is investigated, and several intuitionistic fuzzy monotonic dependent ordered weighted averaging (IFMDOWA) operators are developed, such as the conservative IFMDOWA (COV-IFMDOWA) operator, positive intuitionistic fuzzy monotonic DOWA (POS-IFMDOWA) operator, conservative intuitionistic fuzzy hybrid monotonic dependent order weighted averaging (COV-IFHMDOWA) operator, and positive intuitionistic fuzzy hybrid monotonic dependent order weighted averaging (POS-IFHMDOWA) operator. Finally, a numerical example is given to illustrate the flexibility of our proposed monotonic dependent order weighted averaging operators in a practical decision making process.


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