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中文摘要：
研究了属性值是区间数并且已知方案偏好信息的多属性群决策问题。建立了每个方案客观偏好值与主观偏好值偏差的相对熵测度矩阵;基于客观信息和方案偏好信息的相对熵建立了属性权重模型;建立了一个新的区间数比较的可能度公式,基于可能度公式给出了方案排序方法,算例说明方法可行性。
英文摘要：
The problem of multiple attribute group decision making with interval numbers and preference information on alternatives is studied in this paper. Firstly, he relative entropy matrix for the deviation between objective preference and subjective preference value on each alternative is obtained. Then a mathematical model based on the relative entropy of objective and preference information on alternatives is constructed to obtain the attribute weights. Furthermore, a new probability degree formula for the comparison between two interval numbers is presented. Based on the formula, a method for ranking alternatives is given. Finally, a numerical example is given to verify the proposed method and to demonstrate its feasibility.
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