摘要
讨论了10个区间数排序的可能度公式,分析了它们各自的特点.从可能度的含义和保序性两个角度指出,基于可能度矩阵的区间数排序方法有时会导出不合理的排序结果.通过分析可能度矩阵与模糊判断矩阵的关系,剖析了导致这种不合理排序结果的原因.最后,利用可能度矩阵构造一个布尔矩阵,基于布尔矩阵给出一个改进的区间数排序算法,并从理论上证明了所提出的排序方法的科学性.
Ten different formulas of possibility degree are analyzed. It is pointed out that such a ranking method for interval numbers is unreasonable by counterexamples from two different viewpoints. The relationship between possibility degree matrix and fuzzy judgment matrix is analyzed, and the reason leading to the unreasonable ranking result is investigated.Finally, by utilizing the possibility degree matrix, the Boolean matrix is established, and an improved algorithm of ranking interval numbers based on the Boolean matrix is proposed. The rationality of the proposed approach is proved theoretically.
出处
《控制与决策》
EI
CSCD
北大核心
2016年第4期629-634,共6页
Control and Decision
基金
国家自然科学基金项目(10971243
41272359)
关键词
区间数
可能度
可能度矩阵
布尔矩阵
排序
interval number
possibility degree
possibility degree matrix
Boolean matrix
ranking
