摘要
针对AHP中不一致判断矩阵,提出一种新的调整方法.通过将AHP判断矩阵的调整问题等价转化为一个带约束条件的优化问题,能够保证满足一致性要求条件下,使得调整前后判断矩阵的差异程度最小.给出了决策容许区间的概念,使得元素的变动值在规定的范围内;同时,采取逐渐增大扰动变量的方法控制决策容许区间,以保证最小的改动实现一致性要求,并设计了改进的模式搜索算法求解优化问题.最后,通过算例表明了方法的可行性.
To solve the inconsistency of the comparison matrix in the analytic hierarchy process（AHP）, a new method is proposed. The inconsistency improving problem is equally converted to a optimization problem with constraints, which can minimize the modification of the original comparison matrix while ensuring the consistency requirement of AHP. In addition,the concept of allowable interval is proposed to make sure the modification of elements in the comparison matrix to be within the acceptable range. In order to minimize the modification, a method is designed to increase the allowable interval step by step till the optimal solution is reached and the optimizing algorithm is realized by using the improved pattern search method.Finally an example is given to illustrate the feasibility of the proposed approach.
出处
《控制与决策》
EI
CSCD
北大核心
2016年第11期2106-2112,共7页
Control and Decision
基金
国家自然科学基金项目(61601501)
关键词
AHP
一致性
决策容许区间
优化
analytic hierarchy process
consistency
allowable interval
optimization
