Research Of Fuzzy Mathematics Methods In Comprehensive Evaluation

The comprehensive evaluation exists in a lot of fields, such as society, economy, management, project, and etc. Because most things or phenomenon in the real world have fuzziness more or less, so, the fuzzy mathematics method to deal with uncertain phenomenon of fuzzy type turns to be one of the most important methods in comprehensive evaluation. This thesis makes some researches on two kinds of fuzzy comprehensive evaluation models—fuzzy integral evaluation model and fuzzy optimization model, both theorecally and practically. Some improved ways are proposed besides analyzing two kinds of models' advantage and disadvantage. In the end, the models are applied to practical problems and relative ideal results are reached.In the thesis, the main conclusions are below:By means of convergence theorems of (G) fuzzy integral and Choquet fuzzy integral, the thesis has obtained almost objective appraisal value that converged with respect to sequences of evaluation score and importance measure. Many kinds of single fuzzy integral appraisal values are synthesized to ultimate appraisal value through weighted method to make up the drawback of the single fuzzy integral appraisal value in a degree.The thesis has also improved the calculation of relative membership degree and the decision making method based on fuzzy consistent matrix. Considering the evaluated objects' situations in the past, the present and the future, we have developed a dynamic fuzzy optimization model. The improved fuzzy optimization model can also be used to the comprehensive evaluation of a single object.In a word, the research results of this thesis enrich and develop the theory and method on fuzzy comprehensive evaluation further.