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层次分析法中区间判断的凸锥模型
引用本文:王莲芬 郝刚. 层次分析法中区间判断的凸锥模型[J]. 系统工程学报, 1997, 12(3): 39-48
作者姓名:王莲芬 郝刚
作者单位:中国人民大学经济信息,香港城市大学商学院管理系
摘    要:用全新凸锥模型讨论层次分析法中常规点判断以及区间判断的权重向量的特性与算法,并对它们给出统一的几何解释.本文提出的交锥与包络锥方法是估算区间判断下权重向量可行域的一种合理而又实用的算法

关 键 词:层次分析法,点判断,区间判断,凸锥,交锥和包络锥

CONVEX CONE MODEL FOR INTERVAL JUDGMENTS IN THE ANALYTIC HIERARCHY PROCESS
Wang Lianfen. CONVEX CONE MODEL FOR INTERVAL JUDGMENTS IN THE ANALYTIC HIERARCHY PROCESS[J]. Journal of Systems Engineering, 1997, 12(3): 39-48
Authors:Wang Lianfen
Abstract:This paper discusses a convex cone approach for priority derivation under interval judgement as well as conventional point judgement in the Analytic Hierarchy Process.The proposed algorithms based on the concepts of intersecting cone and cone envelope provides an effective and practical means for estimating local priority intervals,which hold significant advantages in computational efficiency and geometric interpretation.
Keywords:the analytic hierarchy process  interval judgement  convex cone  intersecting cone and cone envelope  
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