A linear programming method for generating the most favorable weights from a pairwise comparison matrix

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	A linear programming method for generating the most favorable weights from a pairwise comparison matrix
	Wang, Ying-Ming ; Parkan, Celik ; Luo, Ying ; Wang YM(王艺明)
刊名	http://dx.doi.org/10.1016/j.cor.2007.05.002
	2008-12
关键词	ANALYTIC HIERARCHY PROCESS DATA ENVELOPMENT ANALYSIS RANK REVERSAL LAYOUT DESIGN DS/AHP METHOD AHP PRIORITIES VECTORS AGGREGATION PREFERENCE
英文摘要	This paper proposes a linear programming method for generating the most favorable weights (LP-GFW) from pairwise comparison matrices, which incorporates the variable weight concept of data envelopment analysis (DEA) into the priority scheme of the analytic hierarchy process (AHP) to generate the most favorable weights for the underlying criteria and alternatives on the basis of a crisp pairwise comparison matrix. The proposed LP-GFW method can generate precise weights for perfectly consistent pairwise comparison matrices and approximate weights for inconsistent pairwise comparison matrices, which are not too far from Saaty's principal right eigenvector weights. The issue of aggregation of local most favorable weights and rank preservation methods is also discussed. Four numerical examples are examined using the LP-GFW method to illustrate its potential applications and significant advantages over some existing priority methods. (c) 2007 Elsevier Ltd. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/64876]
专题	经济学院－已发表论文
推荐引用方式 GB/T 7714	Wang, Ying-Ming,Parkan, Celik,Luo, Ying,et al. A linear programming method for generating the most favorable weights from a pairwise comparison matrix[J]. http://dx.doi.org/10.1016/j.cor.2007.05.002,2008.
APA	Wang, Ying-Ming,Parkan, Celik,Luo, Ying,&王艺明.(2008).A linear programming method for generating the most favorable weights from a pairwise comparison matrix.http://dx.doi.org/10.1016/j.cor.2007.05.002.
MLA	Wang, Ying-Ming,et al."A linear programming method for generating the most favorable weights from a pairwise comparison matrix".http://dx.doi.org/10.1016/j.cor.2007.05.002 (2008).