基于连续直觉模糊相似测度的多属性群决策方法

An Approach to Multiple Attribute Group Decision Making Based on Continuous Intuitionistic Fuzzy Similarity Measure

针对区间直觉模糊数在信息集成时存在处理上的复杂性问题,利用连续区间直觉模糊有序加权平均(C-IVIFOWA)算子,将区间直觉模糊信息转化为含参数的直觉模糊信息,定义了一种连续区间直觉模糊相似测度,研究了其优良性质,并基于该连续区间直觉模糊相似测度构建两个优化模型确定群决策中的专家权重和属性权重,同时提出了基于新的连续区间直觉模糊相似测度的模糊多属性群决策方法,最后通过ERP软件评估群决策分析了该方法的可行性与有效性。

In order to deal with complexity of information aggregation of interval - valued intuitionistic fuzzy numbers, the in-terval -valued intuitionistic fuzzy information is transformed into the intuitionistic fuzzy information with parameter based on the continuous interval - valued intuitionistic fuzzy ordered weighted averaging （C -IVIFOWA） operator. Then a continuous interval -valued intuitionistic fuzzy similarity measure is defined, and some desirable properties are investigated. Moreover, two optimi-zation -based models are put forward to determine the weights of experts and attributes on the basis of the continuous interval - valued intuitionistic fuzzy similarity measure. Furthermore, a fuzzy multiple attributes group decision making is proposed by using the continuous interval - valued intuitionistic fuzzy similarity measure, finally, a group decision making problem for evaluation on ERP software is used to analyze the feasibility and validity of the proposed method.