School of Economics, Ocean University of China, Qingdao 266100, China.
Ocean Development Research Institute, Major Research Base of Humanities and Social Sciences of Ministry of Education, Ocean University of China, Qingdao 266100, China.
Int J Environ Res Public Health. 2017 Dec 13;14(12):1561. doi: 10.3390/ijerph14121561.
With respect to multi-attribute group decision-making (MAGDM) problems, where attribute values take the form of interval grey trapezoid fuzzy linguistic variables (IGTFLVs) and the weights (including expert and attribute weight) are unknown, improved grey relational MAGDM methods are proposed. First, the concept of IGTFLV, the operational rules, the distance between IGTFLVs, and the projection formula between the two IGTFLV vectors are defined. Second, the expert weights are determined by using the maximum proximity method based on the projection values between the IGTFLV vectors. The attribute weights are determined by the maximum deviation method and the priorities of alternatives are determined by improved grey relational analysis. Finally, an example is given to prove the effectiveness of the proposed method and the flexibility of IGTFLV.
针对属性值为区间灰梯形模糊语言变量（Interval Grey Trapezoid Fuzzy Linguistic Variables，IGTFLVs）且权重（包括专家权重和属性权重）未知的多属性群决策问题（Multi-Attribute Group Decision-Making，MAGDM），提出了改进的灰色关联 MAGDM 方法。首先，定义了 IGTFLV 的概念、运算规则、IGTFLV 之间的距离以及两个 IGTFLV 向量之间的投影公式。其次，基于 IGTFLV 向量之间的投影值，采用最大贴近度方法确定专家权重。采用最大偏差法确定属性权重，并采用改进的灰色关联分析确定备选方案的优先级。最后，通过一个实例验证了所提出方法的有效性和 IGTFLV 的灵活性。
