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Research And Applications Of Fuzzy Comprehensive Evaluation Model

Posted on:2012-10-17Degree:MasterType:Thesis
Country:ChinaCandidate:X Y XuFull Text:PDF
GTID:2210330368976391Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Fuzzy comprehensive assessment method is one of the fundamentals of fuzzy systems engineering. It has a wide range of applications, such as expert rating system, quality control, performance evaluation, weather forecast, medical diagnosis, economic management, psycho-logical measurement, and so on.There are three links in fuzzy comprehensive assessment method, that is,the determination of weight, the determination of the fuzzy relationship matrix and the choice of the operator.So far, there has been improvement in all the three links. Such as using entropy method to correct weights; determining the fuzzy relation matrix by changing the membership function, instead of by the commonly-used Lower semi-trapezoidal;in the field of operator, it appears power operator, non-linear operator and some others appear.This article proposes detailed overview and summary about the development and impro-vement of fuzzy comprehensive assessment method by collecting data, and perfects its integrity and diversity. By reviewing a large relevant literature, it is not difficult for us to find that some improvements have been made on model, such as fuzzy-matter-element assessment model, perturbed fuzzy comprehensive assessment model, a non-linear fuzzy comprehensive assessment model; some improvements have been made on the determination of weight, such as relative distance method to calculate the weight, optimal transfer matrix improved AHP method to calculate the weight, the modified clustering weight method to calculate the weight; some improvements have been made on the judgment index, such as using the level of characteristic value as a new indicator of judgment; and some improvements have been made on the expansion of applications of fuzzy comprehensive assessment method.Fuzzy comprehensive assessment method is an important assessment method. Because the nature of the assessment is a kind of intelligence activity of human, generally speaking, it has nonlinear characteristics. But the frequent-used fuzzy comprehensive assessment methods are linear forms. In order to solve this problem in fuzzy comprehensive assessment method, this article puts forward three new non-linear fuzzy comprehensive assessment models with prominent impact factor, by conducting research in non-linear assessment model.The three new kinds of non-linear fuzzy comprehensive assessment methods with prominent impact factor proposed by this article remedy the defect that linear model can not reflect the prominent impact of the indicators and also we can regard linear model as an exception of the three non-linear models. This article also offers theoretical proof and example certification to the new non-linear assessment models.
Keywords/Search Tags:fuzzy comprehensive assessment method, weight set, fuzzy relationship matrix, prominent impact factor
PDF Full Text Request
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