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Improvements And Application Of Consistency Problem In The AHP

Posted on:2012-11-04Degree:MasterType:Thesis
Country:ChinaCandidate:Y M DongFull Text:PDF
GTID:2189330335478242Subject:Systems Engineering
Abstract/Summary:PDF Full Text Request
To the consistency problem of the individual judgment matrix in the AHP, the paperstarts from the definition and characteristics of the reciprocal judgment matrix , andcombines the iteration, weighted thoughts, produces a "nested weight undeterminedcoefficients corrected method", this method does not require too deep professionalmathematics knowledge, it is a mathematical method deduced from a naturalmathematical logic, provides convenient for people's use and operation; because itstarts from the absolute consistency concept of matrix, so it is relative scientific; theresult proved to have a high accuracy.The consistency improve method of the judgment matrix in group decision firstadjusts the matrix eigenvectors, then bases on the characteristics of multidimensionalspace, transforms them into points in space, according to the space law to establish thecorresponding mathematical formulas, and calculates the weight of each point, thenwe can get the last consistent comprehensive judgment matrix . This method is simplewith easy calculation; uses the data itself contain to determine the weight of judgmentmatrix from each experts , and this is where the scientific reflects; transforms thecommon problem into space problem can reduce the difficulty, and improve theaccuracy.Finally, in Taiyuan stainless steel eco-industrial Park for example, screens qualitativeindexes and quantitative indices to compose evaluation index system, collectsstatistics to establish various indexes weights. Using AHP comprehensive evaluationmodel for its comprehensive evaluation, the result shows that the level of thesustainable development zones belongs to "better". Evaluation results can helpmanagers to cognitive the ecological construction situation of the park, understand theimportance of various factors on ecological park construction, to provide reference for the management of the park, and guide the healthy development of the ecologicalindustrial park.Research result embodies in the following two aspects: (1) Based on the predecessor'sliterature and thought, from the unique angle for the inconsistency of the judgmentmatrix gives out two effective improvement methods; (2) Use the improved AHPgives the stainless steel ecology industrial Park a comprehensive evaluation, has veryimportant significance to promote the ecological construction of ecological industrialpark in developing and perfecting .
Keywords/Search Tags:Analytic hierarchy process, judgment matrix, inconsistency, Ecology industrial park
PDF Full Text Request
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