基于概率可信度的区间数排序方法

针对多属性决策理论的研究需要,提出一种基于概率可信度的区间数排序方法,给出了区间数排序问题的形式化描述.为明确排序规则,定义了区间数的二元序关系.采用概率密度函数表征区间数的特征信息,并构建出区间数序关系的概率可信度模型.通过建立互补判断矩阵,将区间数排序问题转换为矩阵运算过程,实现了不同类型区间数的比较.实验结果表明,所提出方法能够有效克服传统排序方法在适用范围方面的局限性,具有排序速度快、求解质量高等优点.

Ranking method research of interval numbers based on probability reliability distribution

On the basis of the research demands in multiple attribute decision theory, this paper proposes a method to rank
interval numbers by employing probability reliability, and gives a formulation depiction of the ranking problem. Then the
order relation of interval numbers is defined to establish the ranking rule. The feature information is denoted as probability
consistency function, and the probability reliability model of order relation is constructed. In order to compare various
interval numbers, complementary judgment matrix is introduced and the ranking problem is converted into matrix operation.
Experiment results show the effectiveness and feasibility of the proposed method in contrast to the traditional approaches.