基于直觉模糊集改进算子的多目标决策方法

Multi-criteria decision-making based on intuitionistic fuzzy sets geometric operators

定义了三角和区间直觉模糊集的一些运算法则,给出了直觉模糊集两个改进算子,即三角模糊数加权算术平均算子(FIFWAA)和区间直觉模糊数加权几何平均算子(FIFWGA)。在此基础上,提出用精确函数解决记分函数无法决策的问题,以保证记分函数的严密性与合理性。给出了一种属性权重不完全确定且属性值以三角和区间直觉模糊数给出的多目标决策方法,通过实例分析结果证明了运用直觉模糊集改进算子进行多目标决策方法的有效性和正确性。

Some operation laws of triangular and interval-valued fuzzy sets were defined. Two amelioration operators were developed, such as the triangular intuitionistic fuzzy numbers weighted arithmetic average （FIFWAA） operator, and the f interval-valued intuitionistic fuzzy numbers weighted geometric average （FIFWGA） operator. On this basis, the problem that score function can not give decision-making was solved by accuracy function in order to ensure the security and rationality of score function. An approach for solving uncertain multiple attribute decision-making problem was given, in which the attribute weights were not completely certain and the attribute values were triangular and interval-valued fuzzy numbers. An illustrative example proves the effectiveness and correctness of multiple-criteria decision-making with intuitionistic fuzzy sets.