直觉模糊GM(1,1)模型及其在灰色发展决策的应用

摘要

研究了以直觉模糊数为对象的GM(1,1)模型并运用到灰色发展决策方法.利用灰色系统理论中核和灰度的内涵,将直觉模糊数的犹豫度和记分函数结合构建了直觉模糊数序列GM(1,1)预测模型,从而实现了直觉模糊数的预测.在此基础上结合变权原理提出了基于直觉模糊数的灰色发展决策方法.最后,算例分析说明了该方法的合理性和可行性.%This paper researches on grey prediction model based on the sequences of intuitionistic fuzzy numbers and proposes grey development decision making by utilizing this model.The GM (1,1)model(grey model of 1 order equation and 1 variable) of the sequences of intuitionistic fuzzy numbers is constructed by utilizing the score function and hesitant degree of intuitionistic fuzzy numbers according to the idea of core and grey degree.Then the membership function and the non-membership function of intuitionistic fuzzy numbers are obtained by the prediction model.Prediction of intuitionistic fuzzy numbers can be realized by the method.Then,a grey development decision making method based on intuitionistic fuzzy numbers and variable weight is proposed Finally.An example shows the feasibility and validity of this method.