Research On The Model Of Portfolio Investment Based On Fuzzy Information

In the market of investment,the aim of portfolio selection is to achieve more profit with less risk,But, in the process of investment,profit always companies by risk. In common, the higher profit, and the higher risk. And the lower risk, the lower profit.How do the investors disperse the risk? They combine some securities in order to get maximum profit, which is called portfolio. This makes the research on portfolio become one of the most important subjects in financial literature.In this paper, the following aspects are discussed and researched.1,In the first chapter,some basic concepts related to portfolio are introduced, and at the beginning,the development and the limit of the advanced portfolio are introduced. The mean-variance model which was proposed by Markowitz is discussed in this chapter. The classic portfolio model is analyzed minutely and the model's strengths and weaknesses are discussed. And single index model and Multi-index model are also introduced.2,In the chapter 2,about the knowledge of triangular fuzzy numbers which is used in the paper will be introduced.3,In the chaper3,Based on fuzzy information,the fuzzy expected profit rates are given by experts. And the risk rate is defined by applying for the left deviation of fuzzy expected profit rate, and their relations can be expressed by fuzzy sets. Finally, an illustration to show the application is given.4,In the chapter 4, we can use the methods of the expected rate of return for vague given by experts and the corresponding risk of loss rate securities. The risk of portfolio loss rates is used to measure investment risk. So a multi-objective parameter linear programming model can be formed, which is about the maximum return rates and the minimum risk rates. Two-stage algorithm is proposed to solve the model.Finally a numerical example is given to illustrate the behavior of the proposed model.