Frank 算子在广义正交梯形模糊语言环境下的应用

Based on the g-rung orthopair trapezoidal fuzzy linguistic variables and Frank T-modules and S-modules, the c/-rung orthopair trapezoid fuzzy linguistic Frank aggregation operator is proposed, and it is applied to multi-attribute decision problems. Firstly, the operation rules of Frank T-modules and S-modules in the g-rung orthopair trapezoid fuzzy linguistic environment are defined, and the g-rung orthopair trapezoid fuzzy linguistic Frank weighted arithmetic average operator and the g-rung orthopair trapezoid fuzzy linguistic Frank geometric average operator are given, and the idempotence, boundedness, and monotonicity for the proposed operators are proved. Afterwards, these operators are applied to deal with the multi-attribute group decision problem which the attribute weights are known and the attribute values are given in the form of q-rung orthopair trapezoid fuzzy linguistic variables. Based on the operators in this paper, two different decision-making methods are constructed to study the decision problem with q-rung orthopair trapezoid fuzzy linguistic variables. Finally, an example is given to illustrate the correctness and practicability of the proposed approaches.