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《Systems Engineering》 2007-04
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Improvement on Algorithm for Final Priorities of AHP Based on Ideal Solution

KONG Feng,LIU Hong-yan(Department of Economics and Mnagement,North China Electric Power University,Baoding 071003,China)  
Analytic hierarchy process(AHP) has been considerably criticized for possible rank reversal phenomenon caused by the addition or deletion of an alternative.This paper looks into the cause of rank reversal phenomenon and finds that rank reversal is caused by change of local priorities before and after an alternative is added or deleted.An approach is therefore proposed to keep the finall priorities unchanged to avoid rank reversal phenomenon.This approach use the TOPSIS closness as the final priorities index.At last a numerical examples are re-examined using the proposed approach to demonstrate its validity and practicability in rank preservation.
【Fund】: 国家自然科学基金资助项目(70671039);; 华北电力大学博士教师基金资助项目(93106702)
【CateGory Index】: F224
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6 MEI Song QI Xin(Beijing Academy of Social Sciences,Beijing 100101,China);The Construction of Assessing Index System of Harmonious Society[J];Social Science of Beijing;2006-01
7 Wu Dianting 1) Li Dongfang 2) ( 1)School of Geography, Beijing Normal University; 2)Personal Office, Beijing Normal University: 100875, Beijing, China);SHORTCOMINGS OF ANALYTICAL HIERARCHY PROCESS AND THE PATH TO IMPROVE THE METHOD[J];Journal of Beijing Normal University(Natural Science);2004-02
8 LIU Jun-juan,WANG Wei,CHENG Lin(College of Transportation,Southeast University,Nanjing 210096, China);The grey number decision making based on TOPSIS and subordinate function[J];Journal of Railway Science and Engineering;2007-06
9 GUAN Zhi-min,CHEN Zhao-chun,PAN De-hui (School of Business Administration,Northeastern University,Shenyang 110004,China.);Service Quality Evaluation Based on Fuzzy Multiple Index and TOPSIS Approach for Chain Stores[J];JOURNAL OF NORTHEASTERN UNIVERSITY;2006-02
10 SHAO Qiang~1, LI You-jun~1, TIAN Qing-wang~2 ( 1. Economics and Management College, Daqing Petroleum Institute, Daqing, Heilongjiang 163318, China; 2. Personnel and Employment Center, Daqing Petroleum Administration, Daqing, Heilongjiang 163453, China );Establishment of integrated evaluation index system[J];Journal of Daqing Petroleum Institute;2004-03
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