Using Maple for the transformation of fuzzy systems into their mathematical representation

In this paper, the use of Maple for investigations of the mathematical description of fuzzy systems is presented. This work is divided into four parts. First, a short outline of a Maple tool is introduced that has been implemented to generate the mathematical function representing a certain class of fuzzy system analytically. The results derived with the help of this tool are given in the second part. Here, the structure of the function and the influence of the parameters of the fuzzy sets are revealed. Based on these results, the third part is concerned with a method to implement a linear control system with the aid of fuzzy logic. In the forth part, the Windows software program Fuzzy2MATH is presented, which has been implemented to provide the user with a convenient application of the results obtained by Maple.