直觉梯形模糊几何集成算子及其在群决策中的应用

摘要

Intuitionistic trapezoidal fuzzy numbers and their operational laws are defined at first. Based on these operational laws: some intuitionistic trapezoidal fuzzy geometric aggregation operators are developed, such as intuitionistic trapezoidal fuzzy weighted geometric(IT-WG) operator, intuitionistic trapezoidal fuzzy ordered weighted geometric (IT-OWG) operator and intuitionistic trapezoidal fuzzy hybrid geometric (1T-HG) operator. Based on these operators, a method for solving the problem is proposed. Finally, an ejiample of a best design proposal selection is analyzed, and the results show the effectiveness of the proposed method.%文章首先定义了直觉梯形模糊数及其运算法则,基于这些运算击则,给出了直觉梯形模糊几何集成算子,即直觉梯形模糊加权几何(IT-WG)算子、直觉梯形模糊有序加权几何(IT-OWG)算子以及直觉梯形模糊混合几何(IT-HG)算子.在此基础上,提出了在属性权重已知的情形下专家评价值以直觉梯形模糊信息给出的多属性群决策方法.最后以产品最优设计方案的选择为实例进行分析,所得结果验证了该方法的有效性.