Fuzzy Recursive Programming Approach & Its Application In The Portfolio Investment Decision

In this thesis, Fuzzy Recursive Programming Approach, a kind of method to describe and model the economic behavior effectively, is put forward. According to the character of the portfolio investment decision and its principle, a fuzzy recursive programming model of the portfolio investment decision is constructed. The main contents of this thesis are as follows: 1. Recursive programming approach is presented. The method not only inherits the effectivity of recursive programming to describe the economic behavior, but also makes full use of the fuzzy information in economic systems, thus the experience of the experts can be used to make decision well. On the other hand, it releases people from the dilemma of seeking the precise model to describe the complex problems. 2. A kind of fuzzy recursive programming model is constructed. (1) Analysis the three operators of the Fuzzy Recursive Programming Model: the fuzzy data generating operator, the fuzzy optimizing operator, and the fuzzy feedback operator. Towards the fuzzy data generating operator, we used 揻uzzy matching?to gain fuzzy rules, and then define the 揻uzzy mapping? Towards the fuzzy optimizing operator, conferring to the fuzzy method of the multi-objective programming problem, we give the method of solving the fuzzy programming problem whose coefficients of objective function and constraint function are all fuzzy LR numbers. (2)The mathematics form of the fuzzy recursive programming model and its solution are defined though the analysis of its operators. 3 On the basis of the principle and the characters of portfolio investment decision, a fuzzy recursive programming model of the portfolio investment decision is established, and its application is given.