基于一致性和偏好程度的区间数多属性决策方法  

An approach for interval multi-attribute decision making based on consistency and preference relation

作　　者：刘芳[1] 兰继斌[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2009年第5期709-713,共5页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金(60864002);广西大学科研基金(XGL090002)

摘　　要：研究区间数互反判断矩阵的一致性及其排序方法,提出了一致性区间数互反判断矩阵的定义及其构造方法,定义了一致性区间数互反判断矩阵的偏好程度矩阵,并证明该矩阵为实模糊互补判断矩阵,最后给出了确定权重的新的简单算法,通过算例说明此方法的可行性与有效性。Consistency and ranking method of interval reciprocal comparison matrices are studied.A consistent interval reciprocal comparison matrix is defined and further constructed.Based on consistent interval reciprocal comparison matrices,a preference relation is given and proven to be a crisp complementary comparison matrix.Finally,a new approach to obtain the weights is proposed,and a numerical example is calculated to demonstrate the feasibility and practicality of the proposed procedure.

关 键 词：区间数互反判断矩阵 一致性 偏好程度 排序 

分 类 号：O223[理学—运筹学与控制论]