基于均匀分布区间数的排序方法

Ranking Method Based on Interval Number of Uniform Distribution

区间数在工程与管理评价中具有很好的应用价值,区间数排序是评价过程中必然遇到的问题.通过对区间数可能度概念及其计算模型的分析与比较,在用区间数内的一个随机变量大于或等于另外一个区间数内的一个随机变量的概率来构建可能度计算模型时,文章揭示了均匀分布区间数a1≥a2的可能度大于等于0.5等价于对应区间数的中值α1≥α2的性质,证明了中值排序与优序数排序的等价性.

Interval number had a good application value in engineering and management evaluation.The sorting of interval number was an inevitable problem in the evaluation process.Through the analysis and comparison of the concept of interval number probability and its calculation model,when constructing a probability calculation model with a random variable within the interval number greater than or equal to a random variable within another interval number,it revealed that the probability of uniform distribution interval a1≥a2 is greater than or equal to 0.5,which is equivalent to the property of the median α1≥α2 of the corresponding interval number.Therefore,the equivalence between median sort and priority sort is proved.