JUDGMENT NUMBER REDUCTION: AN ISSUE IN THE ANALYTIC HIERARCHY PROCESS
Wu, Long-Ting1; Cui, Xia2; Dai, Ru-Wei2
2010
发表期刊INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING
卷号9期号:1页码:175-189
文章类型Article
摘要The Analytic Hierarchy Process (AHP) uses pairwise comparison to evaluate alternatives' advantages to a certain criterion. For decision-making problem with many different criteria and alternatives, pairwise comparison causes a prolonged decision-making period and rises fatigue in decision-makers' mentality. A question of practical value is if there exists a way to reduce judgment number and what influence the reduction will have on the overall evaluation of alternative ratings. To answer this question, we introduce scale error and judgment error into AHP judgment matrix. By expanding the scales defined in the AHP, scale error is eliminated. Taking judgment error as random variable, a new estimator to calculate priority vector is presented. In the end, an example is proved to show lowering judgment number will increase the probability of larger errors appearing in priority vector computation.
关键词Decision Making Ahp Judgment Number Reduction Statistical Modeling
WOS标题词Science & Technology ; Technology
关键词[WOS]PAIRWISE COMPARISON MATRICES ; DERIVING WEIGHTS ; DECISION-MAKING ; AHP
收录类别SCI ; SSCI
语种英语
WOS研究方向Computer Science ; Operations Research & Management Science
WOS类目Computer Science, Artificial Intelligence ; Computer Science, Information Systems ; Computer Science, Interdisciplinary Applications ; Operations Research & Management Science
WOS记录号WOS:000274916400008
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9723
专题复杂系统管理与控制国家重点实验室_复杂系统研究
作者单位1.Zhongnan Univ Econ & Law, Sch Accounting & Finance, Wuhan 430073, Peoples R China
2.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
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Wu, Long-Ting,Cui, Xia,Dai, Ru-Wei. JUDGMENT NUMBER REDUCTION: AN ISSUE IN THE ANALYTIC HIERARCHY PROCESS[J]. INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING,2010,9(1):175-189.
APA Wu, Long-Ting,Cui, Xia,&Dai, Ru-Wei.(2010).JUDGMENT NUMBER REDUCTION: AN ISSUE IN THE ANALYTIC HIERARCHY PROCESS.INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING,9(1),175-189.
MLA Wu, Long-Ting,et al."JUDGMENT NUMBER REDUCTION: AN ISSUE IN THE ANALYTIC HIERARCHY PROCESS".INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING 9.1(2010):175-189.
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