Maple

FuzzySets for Maple

Intended Audience:

• Researchers and engineers interested in modeling systems using fuzzy sets.
• Educators may use the package to supplement their notes and text for a course on fuzzy sets. For courses where fuzzy sets occupies only one of many topics begin covered, the help pages could replace a text book. The Maple™ environment is easy to use, it does not require compilation, and many students may already be familiar with it if Maple™ is used to help teach first and second year mathematics courses.
• Students at either the undergraduate or the graduate level will get a solid introduction to fuzzy sets and their use with this package. It requires very little time to start constructing fuzzy sets and to begin manipulating them.

Product Description:

FuzzySets for Maple™ is an easy-to-use toolbox for Maple which allows professionals, researchers, and students to learn about, experiment with, and model systems through fuzzy logic and fuzzy sets in the Maple worksheet environment. It transforms Maple into a system which works with fuzzy values and fuzzy sets as seamlessly as the basic system deals with classical logic and sets. The functionality includes most principal areas of fuzzy logic and fuzzy sets, including fuzzy control theory.

Features list:

• Fuzzy subsets of the real line (unique to this package).
• Fuzzy subsets of finite universal sets.
• Numerous fuzzy set constructors.
• Numerous installed t-norms, s-norms, complements, implications, and methods of fuzzy inferences.
• Tools for quickly building fuzzy controllers from a collection of rules.
• All the standard set operators (union, intersect, subset, etc.) and Boolean operators (and, or, implies) have been overloaded to naturally work with fuzzy sets and values, respectively, as well as with standard sets and boolean values.
• Plotting of fuzzy sets.

Technical Requirements

• Maple 8 or higher

Author Information

• Douglas Wilhelm Harder
  Department of Electrical and Computer Engineering, University of Waterloo
  Waterloo, ON
  dwharder@uwaterloo.ca

  Douglas Harder was a developer in the Mathematics Group at Maplesoft for four and a half years. He is the author of the Units package, the co-author of numerous other library packages, and has extensive knowledge of the internals of the Maple system. Additionally, he has contributed a number of packages to the Maple Application Center, most notably the Warnings package. He maintains other packages of interest on his Maplesque web site. Currently he is a lecturer at the University of Waterloo in the Department of Electrical and Computer Engineering. As part of his master’s program, he looked at various aspects of iterated function systems on fuzzy sets.

Technical Support

• Terms: Standard support is included for commercial, academic and departmental purchases. In addition:
• For a period of one year after purchase, if and when any bug fixes and updates are released, they will be made available to the customer.
• For a period of four months after purchase, if and when any feature upgrades are released, will be made available free of charge to the customer.

  Student purchases include 30-day installation support only.

  Email: dwharder@uwaterloo.ca.
  Web: http://cheetah.vlsi.uwaterloo.ca/~dwharder/maplesque/