Research On Distinguish Degree & Weight Designing Of Evaluation System Based On Entropy Theory

Evaluation index system has been widely used in every field in our society. However, most of the related researches focus on the application filed, and the systemic research on the related theories and methods which are used to build evaluation index system. Based on these, in this paper, the theories of entropy are chosen to be the main research tool and the two important steps in the constructing process of an evaluation index system, index selection and index weight-setting are the main study objectives. Then, according to the related thoughts of entropy, entropy weight and maximum entropy, we make some studies on the constructing process theories and capability evaluating theories of evaluation index system. The main researches are as follows.Study on the constructing process theories of evaluation index system. First, after discussing on the agreements and disagreements on entropy weight applying into weight-setting, entropy weight was applied into the process of index selection according to its main thought and the concept for distinguish degree of an index was put forward. By calculating the distinguish degree of an index, it can make the index filtration more reasonable when the indexes are too many as a result of purchasing all sides of the evaluated objectives. And, according to distinguish degree, another concept importance degree is brought in and some studies have been made to discuss the equilibrium between distinguish degree and importance degree. Then, according to the thoughts of maximum entropy, with the help of two-objective program model, a new index weight-setting model was built. This model has lots of advantages. It puts the subjective factors into the restraints of the objective program model, which makes subjective weight-setting thought and objective weight-setting thought combine together well, and overcome all of their shortages.Study on the capability evaluation theories of evaluation index system. First, the thought of calculation for the distinguish degree is extended to the whole index system. The concept of the whole distinguish degree of the index system was put forward, and with the help of the structure of the index systems, we calculated the value of the whole distinguish degree which reflects the distinguish ability of the index to the evaluated objective and can help to make the proper sequence for all the objectives. Then, according to the thought of maximum entropy, the calculating model which showed the weights distributing state of the index system was built. And we made some analysis on the calculating results which helps to evaluate the reasonability of the weights distributing state of the designed index system and improve the reliability of the index weight-setting.Finally, we applied the theories and the methods studied in this paper into a real case, which is the subject building evaluation of a university. And, according to the forms of the theories, we divided the whole case into several parts corresponding to each chapter, which helps to prove the theories more quickly, more conveniently and more effectively.