基于最大长度区间的区间权重向量标准化方法  

Interval Weight Vector Normalization Method Based on Maximum Length Interval

作　　者：杜迎雪[1] 常娟[1] 刘卫锋[1] DU Ying-xue;CHANG Juan;LIU Wei-feng(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院数学学院,河南郑州450015

出　　处：《数学的实践与认识》2020年第7期8-16,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11501525);河南省高等学校重点科研项目(18A110032);郑州航空工业管理学院青年科研基金(2016113003)。

摘　　要：区间权重向量在不确定多准则决策分析和AHP中都发挥重要作用,鉴于区间权重向量的不确定性,区间权重向量的标准化问题成为研究的一个热点.在相关研究的基础上,提出基于最大长度区间的区间权重向量标准化方法.首先为了更好理解标准化权重向量,给出标准化区间权重向量的一个等价命题;其次,提出简便的标准化区间权重向量的判定方法,并提出不同情形下,通过调整最大长度区间的区间权重向量的标准化方法;最后,通过算例及与其他方法的对比,说明该方法是简便有效的.In the uncertain multi-criteria decision analysis and AHP,interval weigh vector plays a very important role.Considering the interval weight vector is uncertainty,standardized weight vector and how to interval weight vector of standardized became a focus.On the baisis of related research,an interval weight vector normalization method based on maximum length interval is proposed.First,let’s give an equivalent propositions of the interval weight vector of standardization,it provides a method for people to understand the normalized interval weight vector more easier.Then,the properties of the maximum length interval weight was studied,and the method of judging interval weight vector based on the maximum length interval is proposed.Secondly,discussed under the different situation,how to adjust the maximum length range.Finally,the method is proved to be simple and effective by comparing the calculation example with the method.

关 键 词：区间权重 区间概率 模糊权重 标准化 最大长度区间权重 

分 类 号：O225[理学—运筹学与控制论] O159[理学—数学]