![[short description]](../../_private/images/sdescription.jpg)
![[contact addresses]](../../_private/images/addresses.jpg)
![[Tips & Tricks]](../../_private/images/tips.jpg)
![[homepage]](../../_private/images/homepagee.jpg)
Fuzzy Logic brings you an essential set of tools for creating, modifying,
and visualizing fuzzy sets and fuzzy logic-based systems. Ideal for engineers,
researchers, and educators, the practical examples provided introduce you
to basic concepts of fuzzy logic and demonstrate how to effectively apply
the tools in the package to a wide variety of fuzzy system design tasks.
Experienced fuzzy logic designers will find it easy to use the package
to research, model, test, and visualize highly complex systems.
The package's built-in functions help you at every stage of the fuzzy
logic design process as you define inputs and outputs, create fuzzy set
membership functions, manipulate and combine fuzzy sets and relations,
apply inferencing functions to system models, and incorporate defuzzification
routines. Ready-to-use graphics routines make it easy to visualize defuzzification
strategies, fuzzy sets, and fuzzy relations.
About Fuzzy Logic
Since its introduction nearly 30 years ago, fuzzy logic has established
a place in engineering, proving to be especially useful in enabling designers
and researchers to model complex, nonlinear systems quickly and effectively.
Implemented most commonly in control system design, fuzzy logic-based systems
can be found in a rapidly growing number of consumer appliances (from dishwashers
to video cameras), as well as in automobile engines and transmissions and
industrial equipment. The intuitive nature of the fuzzy-based system design
saves engineers time and reduces costs by shortening product development
cycles and making system maintenance and adjustments easier.
Also present in an ever broadening range of applications, the use of
fuzzy logic for creating decision-support and expert systems has grown
in popularity among management and financial decision-modeling experts.
Still others are putting it to work in pattern recognition, economics,
data analysis, and other areas that involve a high level of uncertainty,
complexity, or nonlinearity.
Features
- Membership Functions
- Triangular
- Trapezoidal
- Gaussian
- User-Defined
- Compositions and Inferencing
- Compositions--Max-min, Max-dot, Max-star
- Inferencing--Rule-Based, Composition-Based
- Standard and Parameterized Fuzzy Aggregators
- Intersections and Unions--Min, Max, Hamacher, Frank, Yager, Dubois-Prade, Dombi
- Products and Sums--Drastic, Bounded, Algebraic, Einstein, Hamacher
- Means--Arithmetic, Geometric, Harmonic, Generalized
- User-Defined Aggregators
- Fuzzy Operators
- Complements--Standard, Sugeno, Yager
- Defuzzifiers--Center of Area, Mean of Max
- Normalization, Concentration, Dilation, Alpha-Cuts, and More
- Visualization of Fuzzy Sets and Relations
- Discrete, Line, and Crisp Plots of Fuzzy Sets
- Discrete 3D, Surface, and Wire-Frame Plots of Fuzzy Relations
- Membership Matrices
- Defuzzification Results
- Fuzzy System Modeling and Design Applications
- Fuzzy Modeling:
- System definition
- Inferencing
- Model building
- Fuzzy Logic Control
- Fuzzy inputs and outputs
- Control surfaces
- Linguistic rules
- Animated examples
- Fuzzy Arithmetic
- Fuzzy numbers
- Fuzzy addition, subtraction, and multiplication
- Approximate Reasoning
- Linguistic variables
- Hedges
- Modifiers
- Connectives




Stefan Steinhaus, webmaster@steinhaus-net.de