基于离差最大化的三角直觉模糊数多属性决策方法

Method of Multi-attribute Decision-making Based on Triangular Intuitionistic Fuzzy Number of Maximizing Deviation

针对属性权重信息未知且属性值为三角直觉模糊数多属性决策问题,提出了基于离差最大化的决策方法.首先引入了三角直觉模糊数的一些运算法则、三角直觉模糊数距离公式和期望值,然后基于最大离差对权重信息未知且属性值为三角直觉模糊数的多属性决策问题给出目标规划模型,从而获得相应的属性权重,利用三角直觉模糊数加权平均(TIFWA)算子对三角直觉模糊信息进行集结,进而根据期望值对方案进行排序.最后,进行了实例分析,说明了该方法的实用性和有效性.

In order to solve the problem of multi-attribute decision-making with unknown attribute weights and triangular intuitionistic fuzzy numbers, a decision-making method based on maximization of variance is proposed. Firstly, some algorithms of trigonometric intuitionistic fuzzy number, triangular intuitionistic fuzzy number distance formula and expectation value are introduced. Secondly, the objective programming model is given for the multi-attribute decision-making problem with unknown weight attribute information and triangular intuitionistic fuzzy numbers based on the maximum deviation. And then the triangular intuitionistic fuzzy number weighted average （TIFWA） operator is used to aggregate the triangular intuitionistic fuzzy information, and the scheme is sorted according to the expectation value. Finally, an example is given to illustrate the practicability and effectiveness of the method.