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A New Method for Calculating Priorities in AHP
作者姓名:XU Zeshui  LU Jianjiang
作者单位:Institute of Communications Engineering,Nanjing 210016,Jjangsu,China
摘    要:1IntroductionTheanalytichierarchyprocess(AHP)hasfounditswayintovariousdecisionareasofdecisionanalysissinceitsintroduction.ToperformdecisionanajysisusingtheAHP,itisfirstrequiredtodecomposethedecisionproblemintoahierarchyornetworkofinterrelateddecisionelementsorcriteria.Theoverallobjectiveofthedecisionproblemisplacedatthehighestlevelofhierarchyandtheintermediatelevelsarevariouscriteriaorsubcriteriathatinfluencethequajityofdecisionleavingthedecisionajtenativestobeplacedatthelowestlevel,thenbyus…


A New Method for Calculating Priorities in AHP
XU Zeshui, LU Jianjiang.A New Method for Calculating Priorities in AHP[J].Journal of Systems Science and Systems Engineering,1999(2).
Authors:XU Zeshui  LU Jianjiang
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].
Keywords:AHP  SHM  weight matrix
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