"Fitting of Control Functions by Fuzzy Methods with Mathematica"
, 3-1994, Peter Bauer. Fitting of Control Functions by Fuzzy Methods with Mathematica. Master thesis, submitted in March 1994.
Fitting of Control Functions by Fuzzy Methods with Mathematica
Sprache des Titels:
Many successful applications of fuzzy logic in various
fields, e.g., consumer products, control applications, etc., have prepared the ground for more complex applications. So, we can observe a tendency to fuzzy systems of higher complexity in terms of a bigger number of Input/Output-Parameters and/or high nonlinearities. Hand in hand with this developement the requirements in the analysis, on the one hand, and the structured design, on the other hand, of fuzzy systems increase.
One way to face these problems is the automatic design of fuzzy systems from given input/output functions. We will look at two parts of this work. First, the approximation of real functions by fuzzy systems and second, the interpolation of uncertain systems using fuzzy methods.
The methods introduced until now will be examined in this thesis. As a part of this work is experimental in nature, an implementation of the examined methods in Mathematica is also presented.
Nevertheless, the design of fuzzy systems will not become a straightforward algorithm. It is, like the design of most complex systems, an iterative process which will always need the creative power of human beings. In the field of Artificial Intelligence a number of methodologies and design systems have been developed that take this iterative process into account. Knowledge-Based
frameworks consider design as an activity in which knowledge about a specific domain is used to represent design artifacts, constraints, and requirements. Design is understood as a search process in which a satisfactory design solution is produced from a number of alternatives. These concepts are summarized by the term "multifacetted modeling methodology".
Notiz zum Zitat:
Peter Bauer. Fitting of Control Functions by Fuzzy Methods with Mathematica. Master thesis, submitted in March 1994.