对方案有偏好的区间直觉模糊多属性决策方法

针对属性权重信息未知或属性权重信息不完全且属性值和对方案的偏好值均为区间直觉模糊数多属性决策问题,基于偏差极小化的思想,给出了相应的决策分析方法。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。然后分别对权重信息未知或权重信息不完全且属性值和对方案的偏好值均为区间直觉模糊数多属性决策方法进行了研究,给出了基于最小偏差的目标规划模型,从而获得相应的属性权重,基于区间直觉模糊数加权平均(IIFWA)算子对区间直觉模糊信息进行集结,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。

Method for interval-valued intuitionistic fuzzy multiple attribute decision making with preference information on alternatives

With respect to interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives and incomplete weight information,some operational laws of interval-valued intuitionistic fuzzy numbers,score function and accuracy function of interval-valued intuitionistic fuzzy numbers are introduced.An optimization model based on the minimizing deviation method,by which the attribute weights can be determined,is established.For the special situations where the information about attribute weights is completely unknown,another optimization model is established.By solving this model,a simple and exact formula can be used to determine the attribute weights.Then,the interval-valued intuitionistic fuzzy weighted averaging(IIFWA) operator is utilized to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative.Based on the the score function and accuracy function of the interval-valued intuitionistic fuzzy number,a method for ranking the alternatives and selecting the most desirable one(s) is presented.Finally,an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.