摘要
定义了满足权重要求的模糊权重向量,利用三角模糊数的截集,给出了模糊加权平均数的计算原理、步骤和一种简便的近似方法。当评价值与权重表达成三角模糊数时,运用该方法可以使决策者以及评价对象本身所具有的模糊性有效地利用起来进行综合评价。最后给出了一个算例。
The fuzzy weighted average operations are common ones in the assessment and decision analysis when the value and weight are described to triangular fuzzy number. In this paper, we define fuzzy weight vector which satisfies weight definition, present a new method for finding the fuzzy weighted average with triangular fuzzy numbers, using the extension principle, α-cut representation of fuzzy set and interval analysis. The numerical example is given.
出处
《运筹与管理》
CSCD
2005年第2期5-9,共5页
Operations Research and Management Science
基金
国家自然科学基金资助项目(70471017)
留学回国人员科研启动基金资助项目(2004527)
江苏省教育厅"青蓝工程"资助项目
关键词
决策
模糊加权平均
模糊权重向量
三角模糊数
截集
decision
fuzzy weighted average
fuzzy weight vector
triangular fuzzy number
α-cut
