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Research Of Identifying Method Of Consistency Based On Judgment Matrix

Posted on:2013-02-15Degree:MasterType:Thesis
Country:ChinaCandidate:F H NieFull Text:PDF
GTID:2210330371460940Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In the decision-making process, the preference information of the attribute or program of the expert is presented by various of judgment matrix. The research of the consistency of the judgment matrix is directly related to the rationality and reliability of decision-making model. Because of the complexity and the fuzziness of the nature problem, and the impact of the person's subjective knowledge structure and the ability, that people make judgment is not presented by the uncertain information form. The paper is mainly studied on the consistency of the reciprocal judgment matrix, and uncertain information judgment moment (including the fuzzy information judgment matrix, language information judgment matrix and interval information judgment matrix), and establish the theoretical foundation for the application of decision making problems based on judgment matrix.First of all, the paper expounds the research status from domestic and abroad about the judgment matrix, and puts forward the contents of the research.Secondly, it is multiplicative judgment matrix, and uncertain information judgment matrix related concepts of the briefly introduced, and then the method to have some consistency induction and generalization. In the fuzzy judgment matrix (also called complementary judgement matrix or fuzzy prior relation) and the consistency and interval complementary judgement matrix elements of the characteristics and on the basis of the introduction of entropy method and an interval complementary judgement matrix to validate the consistency of entropy method,Finally, comparing the example with other method of consistency, it is explained the rationality and feasibility of the method. It is summarized the work, and puted forward the idea of the future of the problem of the AHP based on the interval numbers complementary judgment matrix.
Keywords/Search Tags:Judgment Matrix, Consistency, Information Entrop
PDF Full Text Request
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