基于区间数的直觉模糊多属性决策研究

Intuitionistic fuzzy multiple attribute decision making based on interval numbers

研究一类属性权重未知的直觉模糊多属性决策问题.将直觉模糊数的属性值转由双区间数表示,根据决策方案属性值间的离差确定属性权重.根据各方案属性加权综合值及区间直觉模糊数的得分函数,对2套方案分别进行排序和比较,并通过实例说明了该方法的有效性.

This paper discusses the multiple attribute decision making problems,in which the information about attribute weights is totally unknown and the attribute values are expressed by intuitionistic fuzzy sets.Two interval numbers are used to take the place of attribute values.A new method is proposed to gain the weights of the attributes based on the deviations between the values of the attributes.We make the ranking of projects by the weighted comprehensive values of all projects and the score function of interval-valued intuitionistic fuzzy numbers,respectively,and then compared with the results of the two methods.Finally,an illustrative example is given to verify the effectiveness of the method.