The Multi-Attribute Group Decision-Making Method Based on Interval Grey Trapezoid Fuzzy Linguistic Variables.

The Multi-Attribute Group Decision-Making Method Based on Interval Grey Trapezoid Fuzzy Linguistic Variables.
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基于区间灰色梯形模糊语言变量的多属性群体决策方法

DOI:
10.3390/ijerph14121561
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发表时间:
2017-12-13
影响因子:
--
通讯作者:
Li X
Li X
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Yin K;Wang P;Li X

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针对属性值为区间灰色梯形模糊语言变量(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,提出了改进的灰色关联群决策方法.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,通过使用最大邻近度方法基于IGTFLV向量之间的投影值来确定专家权重。采用最大离差法确定属性权重,采用改进的灰色关联分析法确定方案的优先级。最后通过算例验证了该方法的有效性和IGTFLV的灵活性。
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.
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