Abstract: The definition of interval rough number, obeying the normal distribution, is given and the connection number algorithms are added. A connection number model is transformated by establishing interval rough number mean-variance and using the uncertainty theory of the set pair analysis. For the attribute values are interval rough number and attribute weights are known, a multiple attribute decision making method based on connection number is proposed. Then the decision-making steps are given. Finally, a numerical example is given to show this approach is effective, practical and simple.

Key words: interval rough number, connection number, multiple attribute decision making, normal distribution

摘要： 定义了正态分布的区间粗糙数，补充联系数的运算法则。利用集对分析的不确定性理论，建立了区间粗糙数的均值-方差联系数模型，针对属性值为区间粗糙数且权重已知的区间粗糙数多属性决策问题，提出了一种基于联系数的区间粗糙数多属性决策方法，并给出了决策的步骤。最后，通过实例分析，表明该方法的有效性和实用性，且计算简单易行。

关键词: 区间粗糙数, 联系数, 多属性决策, 正态分布