【摘要】 从确定性角度和基于度的角度两方面分析评述了目前已有的具有代表性的区间数排序方法.分析了任意两个区间数在数轴上可能的位置关系.探讨了确定性排序法的适用性以及层次关系,提出选择确定性排序方法的方案,指出确定性排序法的优缺点;分析了基于度的排序法的特点及其存在的问题.综合区间数排序的确定性法和基于度的方法的优缺点,提出了在形式上直观表达数据均匀性和分散性的区间数排序的可能度公式.分析了引入建立在区间数比较关系划分基础上的排序方法的必要性.更多还原

【Abstract】 From viewpoint of certainty and viewpoint of degree,respectively,representative ranking methods of interval numbers are reviewed.All possible position relations of any two interval numbers in real axis are illustrated.The applicability and hierarchy relations of certainty ranking methods are investigated,and a scheme for selection among certainty ranking methods is proposed.The characteristics and problems of ranking methods based on degree also are analyzed.A new possibility degree formula for ranking interval numbers,which exhibits both the statistical character of expectation and dispersity,is presented formally.The necessity of ranking interval numbers based on a complete partition of comparison relations between them is discussed.更多还原