区间数型模糊VIKOR方法

Interval-valued Fuzzy VIKOR Method

针对备选方案的属性值和各属性权重为区间数的多属性决策问题,讨论了区间数型模糊V IKOR方法。该方法以最接近理想解为基本思想,在决策过程中采用线性规范方法,利用心态指标对区间数进行排序,在可接受优势和决策过程的稳定条件下对备选方案进行选择,得到折衷解,实现了群体效用最大化,个体遗憾最小化。最后,在最大群体效用权重为0.5的情况下,用实例说明了该方法的有效性和可行性,结果显示不同的心态,最后的选择是不同的。

For the problem of multi-attribute decision making, in which the attribute values and the weight of each attribute are interval numbers,interval valued fuzzy VIKOR method is discussed.VIKOR method uses linear normalization matrix during the process of decision making.Interval numbers ranking is determined by the index of decision-maker＇s attitude,the compromise solusion is obtained under the conditon of acceptable advantage and acceptable stability in decision making.Finally,an illustrative example is given when the weight of maximum group utility equals 0.5.The result shows that the selection changes with the index of decision-maker＇s attitude.