一类区间粗糙数型多属性决策方法研究

研究属性值为区间粗糙数,具有属性优先序信息的多属性决策问题.首先给出粗糙属性值的规范化公式;然后基于区间粗糙数的相离度定义,建立以极大化属性值的离差为目标的最优化模型来确定各属性权重;进而基于粗糙算术运算以及期望值算子,计算出各方案的期望效用值,从而获得各方案的排序;最后通过数值例子表明了所提出方法的有效性.

Research on a class of multiple attribute decision making method with interval rough numbers

This paper investigates a multiple attribute decision making problem, whose attribute values are interval rough
numbers and has the priority order of attributes. First, the normalized formulas for rough attribute values are given. Then,
based on the definition of the deviation degree for interval rough numbers, an optimization model with maximum of the
deviation of the attribute values is established, and the attribute weights are derived by solving this model. Furthermore,
based on the rough arithmetic and the expected value operator, the expected utility values of the alternatives are calculated
for ranking all alternatives. Finally, a numerical example shows the effectiveness of the proposed method.