College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China.
School of Economics and Management, Southeast University, Nanjing 211189, China.
Int J Environ Res Public Health. 2018 Mar 3;15(3):446. doi: 10.3390/ijerph15030446.
In view of the multi-attribute decision-making problem that the attribute values are grey multi-source heterogeneous data, a decision-making method based on kernel and greyness degree is proposed. The definitions of kernel and greyness degree of an extended grey number in a grey multi-source heterogeneous data sequence are given. On this basis, we construct the kernel vector and greyness degree vector of the sequence to whiten the multi-source heterogeneous information, then a grey relational bi-directional projection ranking method is presented. Considering the multi-attribute multi-level decision structure and the causalities between attributes in decision-making problem, the HG-DEMATEL method is proposed to determine the hierarchical attribute weights. A green supplier selection example is provided to demonstrate the rationality and validity of the proposed method.
针对属性值为灰色多源异质数据的多属性决策问题，提出了一种基于核与灰度的决策方法。给出了灰色多源异质数据序列中扩展灰色数的核和灰度的定义。在此基础上，构建了序列的核向量和灰度向量，对多源异质信息进行白化，然后提出了一种灰色关联双向投影排序方法。考虑到决策问题中的多属性多层次决策结构和属性之间的因果关系，提出了 HG-DEMATEL 方法来确定层次属性权重。通过一个绿色供应商选择实例验证了所提方法的合理性和有效性。
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