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Study For The Method Of System Structure Modeling In Fuzzy State

Posted on:2009-03-08Degree:MasterType:Thesis
Country:ChinaCandidate:G F CaoFull Text:PDF
GTID:2120360272980223Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The structure model of the system describes the relationship between component elements of the system. Some systems that are often difficult to quantify are described with such model. So the structure model of the system is widely applied.The establishment of the structure model of the system is the learning process of the system for people. As component elements of some systems are too large, in particular, such as socio-economic soft system containing human activities, which makes the relationship between the system elements difficult to grasp, and sometimes makes the serious differences of understanding appear. In a complex system, the relationship between the system elements is strong or weak, that is, there is fuzziness. So the relationship between elements should be dealt with fuzzily. Therefore it is necessary to make the fuzzy promotion to modeling method of the system structure.In the paper, the fuzzy relationship between the elements of complex systems is mainly studied. After the basic theory involved in the paper is introduced in necessary, the main body part is as follows:First, the method of modeling the fuzzy system structure using fuzzy reachability matrix is focused on to establish the dividing basis of the fuzzy system. In order to simulate different types of the fuzzy relationships between the system elements better, some necessary definitions are given in this paper. And interrelation between fuzzy relationship and operation and the corresponding fuzzy matrix is proved strictly in the form of theorem. The necessary and sufficient condition of judging that the system elements have fuzzy strong connectivity is given. Second, a method of expert weight is put forward further from the quantitative , qualitative point of view and quantitative and qualitative point of view of combining to deal with the fuzzy relationship between the system elements.Thirdly, fuzzy advanced set and fuzzy reachability set are defined. The logical contradiction produced by initial fuzzy reachability matrix in modeling fuzzy system is analyzed. The reason of producing the logical contradictions nd the basic idea of resolving the logical contradictions are discussed.Finally, the revision method for the fuzzy reachability matrix lack of information is given examples. And the concrete steps of modeling the fuzzy system structure proposed in this paper are explained and given examples. Some comments and suggestions for the next research are put foreword.
Keywords/Search Tags:fuzzy systems, fuzzy relationship, fuzzy reachability relations, fuzzy reachability matrix
PDF Full Text Request
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