摘要
区间数多属性决策既具有一定的确定性,又具有一定的不确定性。利用集对分析(SPA)的不确定性系统理论,将区间数映射到二维确定-不确定空间(D-U空间),把区间数转换为向量,建立区间数的模、幅角及三角函数表达式的概念,进而建立区间数的综合(基本、一般、主值)决策模型。实例计算表明:该模型能较为客观地反映出区间数多属性决策的确定性与不确定性,同时,更具有对不确定性分析的合理性。
The multi-objective decision making with the interval number has both the determination and uncertainty. Based on the uncertainty system theory of SET PAIR ANALYSIS （SPA）, we can transform the interval number into the vector and establishe the concept of the norm of the interval number and the expression of trigonometric function of the interval number, and then establishe the comprehensive decision making with the interval number in the two-dimension determination-uncertainty space （the D-U space）, which includes fundamental model, general model, principal-value model. The example indicates the model can objectively reflect the nature of the determination and uncertainty in the multi-objective decision making with the interval number, simultaneously, it has rationality about the uncertainty analysis.
出处
《模糊系统与数学》
CSCD
北大核心
2009年第2期167-174,共8页
Fuzzy Systems and Mathematics
基金
连云港师范高等专科学校校级课题(LYGSZ2008)
关键词
多属性决策
区间数
集对分析(SPA)
不确定性系统理论
联系数
D-U空间
Multiple Attribute Decision Making
Interval Number
Set Pair Analysis（SPA）
Uncertain System Theory
Connection Number
D-U Space
