权重信息不完全的区间直觉模糊数多属性决策方法

A Method of Interval-Valued Intuitionistic Fuzzy Multiple Attributes Decision Making with Incomplete Attribute Weight Information

针对权重信息不完全的区间直觉模糊数多属性决策问题,首先,引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数。然后,对权重信息不完全的区间直觉模糊数的多属性决策方法进行了研究,给出了一个基于最大偏差的目标规划模型,从而获得相应的属性权重,并基于IIWAA算子对区间直觉模糊数信息进行集结,进而根据得分函数和精确函数对方案进行排序。最后,进行了实例分析,说明了该方法的实用性和有效性。

The problem of multiple attribute making-decisions with interval-valued intuitionistic fuzzy information was analyzed. Some operational laws of interval-valued intuitionistic fuzzy num bers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers were introduced. An optimization model based the maximizing deviation method was established, by which the attribute weights could be determined. Interval-valued intuitionistic fuzzy weighted arithmetic averag ing （IIWAA） operator was used to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative. According to the score function and accuracy function , the alternatives were ranked and the most desirable one（s） were selected. Finally, a numerical example is used to illustrate the use of the proposed method. The result shows the approach is simple, effective and easy to calculate. An illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.