A method for multiple attribute decision making with incomplete weight information under uncertain linguistic environment
A method for multiple attribute decision making with incomplete weight information under uncertain linguistic environment
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DOI：
10.1016/j.knosys.2008.03.034
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发表时间：
2008-12
期刊：
影响因子：
--
通讯作者：
Yejun Xu;Qingli Da
中科院分区：
文献类型：
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作者：
Yejun Xu;Qingli Da
研究了属性值信息以不确定语言变量形式表示的多属性决策问题。定义了不确定语言变量间偏差度的概念，并定义了不确定语言决策矩阵的理想点。提出了一个不确定语言变量间比较的可能度公式。基于不确定语言变量的偏离度和理想点，建立了一个优化模型，通过求解该模型，在属性权重信息完全未知的情况下，得到了一个简单而精确的确定属性权重的公式。由于属性权重信息是部分已知的，建立了另一种优化模型来确定属性权重，然后分别对给定的不确定语言决策信息进行聚合。给出了一种基于可能度的方案排序方法。 最后进行了实例分析.
The multi-attribute decision making problems are studied, in which the information about the attribute values take the form of uncertain linguistic variables. The concept of deviation degree between uncertain linguistic variables is defined, and ideal point of uncertain linguistic decision making matrix is also defined. A formula of possibility degree for the comparison between uncertain linguistic variables is proposed. Based on the deviation degree and ideal point of uncertain linguistic variables, an optimization model is established, by solving the model, a simple and exact formula is derived to determine the attribute weights where the information about the attribute weights is completely unknown. For the information about the attribute weights is partly known, another optimization model is established to determine the weights, and then to aggregate the given uncertain linguistic decision information, respectively. A method based on possibility degree is given to rank the alternatives. Finally, an illustrative example is also given.