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定义了三角直觉模糊数的Hamming距离,给出了属性独立情形下的三角直觉模糊数算术集成算子,并运用模糊测度和Choquet积分,定义了三角直觉模糊Choquet积分算子,并分析其有关性质。针对方案评价信息为三角直觉模糊数的关联多属性决策问题,利用三角直觉模糊Choquet积分算子集成得到方案的综合属性值,建立多目标优化模型并转化为线性目标规划求解,客观地确定了属性集的模糊测度,进而提出了相应的决策方法。实例分析表明了方法的有效性和合理性。
The Hamming distance of trigonometric intuitionistic fuzzy numbers is defined. The arithmetic integration operator of trigonometric intuitionistic fuzzy numbers with attribute independence is given. By using fuzzy measure and Choquet integral, the triangular optocouplers Choquet integral operator is defined and its related properties . Aiming at the problem of multi-attribute decision making associated with trigonometric intuitionistic fuzzy numbers, the integrated attribute values of the solution are obtained by integrating trigonometric fuzzy choquet integral operators. The multi-objective optimization model is established and transformed into a linear target programming solution to objectively determine the attributes Set of fuzzy measures, and then put forward the corresponding decision-making method. The case study shows the validity and rationality of the method.