首页 | 本学科首页   官方微博 | 高级检索  
     检索      


A heuristic method to rectify intransitive judgments in pairwise comparison matrices
Authors:Sajid SirajLudmil Mikhailov  John Keane
Institution:a Electrical Engineering Department, COMSATS Institute of Information Technology, Wah, Pakistan
b Manchester Business School, Booth Street West, The University of Manchester, M15 6PB, UK
c School of Computer Science, The University of Manchester, M13 9PL, UK
Abstract:This paper investigates the effects of intransitive judgments on the consistency of pairwise comparison matrices. Statistical evidence regarding the occurrence of intransitive judgements in pairwise matrices of acceptable consistency is gathered by using a Monte-Carlo simulation, which confirms that relatively high percentage of comparison matrices, satisfying Saaty’s CR criterion are ordinally inconsistent. It is also shown that ordinal inconsistency does not necessarily decrease in the group aggregation process, in contrast with cardinal inconsistency. A heuristic algorithm is proposed to improve ordinal consistency by identifying and eliminating intransitivities in pairwise comparison matrices. The proposed algorithm generates near-optimal solutions and outperforms other tested approaches with respect to computation time.
Keywords:Decision analysis  AHP  Pairwise comparisons  Consistency  Simulation  Heuristics
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号