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A Minimum Trust Discount Coefficient Model for Incomplete Information in Group Decision Making with Intuitionistic Fuzzy Soft Set
International Journal of Fuzzy Systems ( IF 4.3 ) Pub Date : 2020-04-05 , DOI: 10.1007/s40815-020-00811-2
Xiao-guo Chen , Gao-feng Yu , Jian Wu , Yue Yang

This article proposes a framework to deal with incomplete information in multiple criteria group decision making with intuitionistic fuzzy soft set. To do that, the weighted sum method for choice values and simple mathematical expectation method are extended to the case of obtained fuzzy soft set, and they are proved to have the same result in estimating the incomplete information. In order to reduce the system error in the estimating process cause by multiple decision information, a minimum trust discount coefficient model is established according to the relevant methods of evidence theory. Then, a new definition of entropy for intuitionistic fuzzy sets is introduced to determine the weights of group experts. Therefore, individual decision-making matrices are integrated into a comprehensive decision-making matrix by the integration operation formula of intuitionistic fuzzy soft matrix. The decision making is realized according to the difference of the score values of objects. Finally, the steps of this method are concluded, and one example is given to explain the application of this method.



中文翻译:

直觉模糊软集合的不完全信息最小决策信任折扣模型

本文提出了一种利用直觉模糊软集处理多准则群决策中不完整信息的框架。为此,将选择值的加权和方法和简单的数学期望方法扩展到了获得的模糊软集的情况下,并证明它们在估计不完全信息方面具有相同的结果。为了减少由多个决策信息引起的估计过程中的系统误差,根据相关的证据理论方法建立了最小信任折现系数模型。然后,引入了直觉模糊集的熵的新定义,以确定组专家的权重。因此,通过直觉模糊软矩阵的积分运算公式,将各个决策矩阵综合为一个综合决策矩阵。根据对象得分值的差异进行决策。最后,总结了该方法的步骤,并举例说明了该方法的应用。

更新日期:2020-04-21
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