三参数区间数下非线性可拓关联度决策方法

针对属性值为三参数区间数和权重未知的多属性决策问题,提出一种新的基于非线性可拓简单关联度的多属性决策方法和框架.该方法基于可拓简单关联函数提出非线性可拓三参数区间关联度的计算方法,通过定义区间映射变换算子,将不同类型指标的关联度计算均变换为效益型指标的单调递增关联度计算.该方法内含偏好态度系数的设置以反映决策者态度倾向带来的决策不确定性,而且能够体现人们进行决策评价时的非线性思维.最后通过算例分析表明所提出方法的合理性和稳定性.

Nonlinear extension dependent degree method to three-parameter interval number decision making

In view of the multi-attribute decision making problem with attribute values being three-parameter interval number and weights unknown, a new decision making approach based on nonlinear extension dependent degree is proposed. According to traditional extension simple dependent functions, it proposes a nonlinear extension dependent function for three-parameter interval number. Then, through an interval mapping transformation operator, the processes of computing dependent degree under different types of attributes are transformed to the simple and monotonous process under benefit-type attribute. The method can not only reflect decision uncertainty from risk preference of a decision maker by adjusting its attitude coefficients, but also express a nonlinear thinking model in the evaluation of people. Finally, an example is presented to illustrate the effectiveness and stability of the proposed method.