Fuzzy Math, Part 1, The Theory
If you are interested in a very flexible rule-based system and want it to be easily integrated with for instance adaptive systems, then fuzzy logic provides a good solution.
So what is fuzzy logic?
Take a look at the first sentence in this text. Expressions like "very flexible", "easily integrated" and "good solution" were used. This type of vague expressions are characteristic of the way we humans communicate through language and as such is an integral part of our thinking process. This contrasts sharply with the traditional Boolean logic of computer programming. Fuzzy logic bridges the gap between them, providing a framework that allows you to numerically encode linguistic expressions and through that gives you a flexible rule-based system.
This is the first part of a two-part tutorial and will cover the basic fuzzy logic theory. The second part will be more practical and deal with fuzzy logic in Synapse and the creation of hybrid fuzzy-adaptive systems.