| A New Method for Calculating Priorities in AHP |
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| 作者姓名： | XU Zeshui LU Jianjiang |
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| 作者单位： | Institute of Communications Engineering，Nanjing 210016，Jjangsu，China |
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| 摘 要： | 1IntroductionTheanalytichierarchyprocess(AHP)hasfounditswayintovariousdecisionareasofdecisionanalysissinceitsintroduction.ToperformdecisionanajysisusingtheAHP,itisfirstrequiredtodecomposethedecisionproblemintoahierarchyornetworkofinterrelateddecisionelementsorcriteria.Theoverallobjectiveofthedecisionproblemisplacedatthehighestlevelofhierarchyandtheintermediatelevelsarevariouscriteriaorsubcriteriathatinfluencethequajityofdecisionleavingthedecisionajtenativestobeplacedatthelowestlevel,thenbyus…
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A New Method for Calculating Priorities in AHP |
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| XU Zeshui, LU Jianjiang.A New Method for Calculating Priorities in AHP[J].Journal of Systems Science and Systems Engineering,1999(2). |
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| Authors: | XU Zeshui LU Jianjiang |
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| Abstract: | On the basis of weight matrix, this paper presents a new optimizing approach to calculate priorities in the analytic hierarchy process(AHP), this method is a development of the synthetichierarchy method, which was proposed by Lipovetsky in 2], it enables the united consideration of allhorizontal and vertical connections of a hierarchical system in a single optimizing objective functionbased on statistical models of the synthesis process. The ultimate priority vector is proportional tothe solution of a linear system or an eigenproblem of a matrix. A numerical example is also given.Theoretical analyses and the numerical example all show that the method is more practical and needsless time for obtaining priorities than that of IZ]. |
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| Keywords: | AHP SHM weight matrix |
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