The Models Of Portfolio Investment Based On Analyses Of Fuzzy Numbers

By using rational investors' investment thoughts and practical experiences as background, the paper studies and simulates portfolio investors' processes of securities analysis and plan-making for portfolio investment, based on the fuzzy set theory.Regarding the fluctuation of securities prices as a dynamic fuzzy system, we analyze the laws of fluctuation of securities price in detail, and obtain the forecast set of securities prices. With the analysis method of fuzzy number, we thoroughly discuss the characters of the forecast set of securities prices. And then we define some important concepts, such as the basic point of expected profit and the remarkable investment opportunities, and get some useful data under the theory of fuzzy set: expectation value of securities prices, expectation value of earning rate, coefficients of expected risks, risk rate and loss-earning ratio.These efforts lead to the constructions of a mathematic model oi risk-averse portfolio investment and three mathematic models oi opportunity-seeking portfolio investment. These models supply some nev techniques to decision-making for portfolio investment.The constructions of these models depend on investors' knowledge an experiences, while the solutions of the models are easy and uncomplicated.