JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (8): 34-51.doi: 10.6040/j.issn.1671-9352.0.2023.373

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Interval hesitant trapezoidal fuzzy Choquet Muirhead mean operator and its application in multi-attribute decision making

JIANG Lihui1, XU Jinhui2, CHEN Huayou3   

  1. 1. School of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, Anhui, China;
    2. College of Economic and Management, Hefei University, Hefei 230601, Anhui China;
    3. School of Big Data and Statistics, Anhui University, Hefei 230601, Anhui, China
  • Published:2025-07-25

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Abstract: In order to ensure the integrity of decision information, we extend the Muirhead mean operator in the environment of interval hesitant trapezoidal fuzzy sets. The concepts of interval hesitant trapezoidal fuzzy Muirhead mean operator and interval hesitant trapezoidal fuzzy geometric Muirhead mean operator have been proposed. Their properties and theorems are given, and several degenerate forms of the operators are introduced. Considering that the Choquet integral can objectively calculate the weights of attributes, this paper introduces the Choquet integral into the above operators, and proposes the concepts of interval hesitant trapezoidal fuzzy Choquet Muirhead mean operator and interval hesitant trapezoidal fuzzy geometric Choquet Muirhead mean operator. Meanwhile, a multi-attribute decision making model based on interval hesitant trapezoidal fuzzy Choquet Muirhead mean operator is constructed. Finally, it was applied to the green battery supplier selection problem to analyze its feasibility and effectiveness.

Key words: interval hesitant trapezoidal fuzzy set, Choquet integral, Muirhead mean operator, interval hesitant trapezoidal fuzzy Choquet Muirhead mean operator, multi-attribute decision making

CLC Number: 

  • C934
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