摘要
针对区间判断的权重求解问题,利用行和归一化方法,推导排序权重与上三角中各元素之间的关系,得到强序区间判断下排序权重极值的顶点定理以及一般情况下的极值求解方法,为求解区间判断的极值问题提供新的研究思路。文章最后用算例说明用极值点方法求解区间判断权重的过程。
In this paper, the author puts forward a new thought to solve the problem of calculating the weight vector from interval judgment matrix. The relationship between weights and the element in the upper triangular matrix is gotten by rank aggregation method. The result shows when the judgment is strict priorities the extremum locates the acme of the vector space. The theory provides a new thought to calculating the weight vector from interval judgment matrix. The article gives the steps of the method of extremum point to calculate the weight vector. An example given at the end of the paper shows the process of the method.
出处
《运筹与管理》
CSCD
2008年第4期84-88,共5页
Operations Research and Management Science
基金
河海大学人文社科基金资助项目(XZX/07B003-02)
关键词
模糊决策
区间判断
排序权重
极值点
fuzzy decision
interval judgment
weight order
extremum point
