摘要
研究了区间数互补判断矩阵的一致性和排序方法。首先根据区间数模糊互补判断矩阵的一致性定义给出了其一致性等价定义;然后通过定义导出矩阵,给出了完全一致性判别方法和满意一致指标,并根据此指标给出了一种完全一致性的逼近方法和满意一致的调整方法;最后通过对实数互补判断矩阵权重公式的推广给出了区间数互补判断矩阵的一个权重计算公式。并通过算例说明了此方法的有效性。
The consistency and ranking method for interval complementary judgment matrices are studied. First the equivalent definitions are given based on the definition of interval complementary judgment matrices; Then a consistency checking method a consistent index of an interval complementary judgment matrix are given, and a complete consistency approximation approach and a satisfied consistency adjusting approach of interval complementary judgment matrices are proposed based on the consistent index; Finally the weight computing formula are given by extending a weight computing formula for real number complementary judgment matrices, and two examples are used to illustrate the validity of proposed method.
出处
《模糊系统与数学》
CSCD
北大核心
2013年第2期162-168,共7页
Fuzzy Systems and Mathematics
基金
广西教育厅科研项目(201106LX248)
桂林市科学研究与技术开发计划项目(20110111-1)
广西科学研究与技术开发计划项目(桂科攻11107014-4)
广西空间信息与测绘重点实验室项目(桂科能1103108-25)
关键词
区间互补判断矩阵
一致性
权重
一致性指标
Interval Complementary Judgment Matrices
Consistency
Weight
Consistent Index
