AHP判断矩阵一致性改进方法研究

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3、期——2QQZ生』⋯旦学位授予日期搜址：十r砖省兰州市兰型查竺塑主兰焦堡塞一2AbstractTheAnalyticHierarchyProcess(AHP)hasbeenproposedbyT．L．Saatyduring1970s．Becausevalidindealingwithdecision·makingproblemscomplexityqualitativeandquantitativeanalysis．ithasfounditsapplicationinvarietyoffieldsSuchassociolo

4、gy．economics．management，distributionofresource，transportation．urbanrearrangement．behavioralscience，military．agriculture，education．medicaltreatment．environmentetc．Thecrucialstepofmulti-objectivedecision—makingproblemistodeterminethejudgmentmatrixandcalculateranking

5、vectorintheAHPHowever，it'sofgreatimporlancewhetherthegivenjudgmentmatrixisconsistencyornot．whichhasdirectinfluenceonifornottherankingvectoryieldedcanreflecttherealisticordersoftheprograms．Therefore，thetestandmodificationapproachontheconsistencyofjudgmentmatdxisave

6、ryimportantaspectintheAnalyticHierarchyProcess．AlthoughsomemethodsoftestandmodificationontheconsistencyofjudgmentmatrixhavebeenputforwardandhaveachievedsomeSuccessButsomewaysmoreintricate，otherslackofcertaintheoreticalbasis．Thuslookingforabettermodificationmethodo

7、ntheconsistencyofjudgmentmatrixisstillsignificant．Thispaperisdividedintofiveparts：Insectionone，weinVoducedtheAnalyticHierarchyProcess．Insectiontwo，wegivetheideaandcalculationapproachontheprincipleofAHP．Insectionthree，theterminologyconsistencyofjudgmentmatrixisgive

8、nBesideswehaveestablishedtherelationshipbetweenordinalconsistencyandfullconsistency．Insectionfour，twomodificationmethodsonconsistencyofjudgmentmatrixareproposedinthispaper．thesemethodsissimplebutpractical．Finally．asanexample，wegiveminuteanalysisonthematehalgivenby

9、ChinaUndergraduateMathematicalContestinModelingBtitleof1993一footballranks．toexplaintheinducedmatrixmethodonconsistencymodificationofjudgmentmatrixandthe