## Fuzzy Logic Toolbox For Use with MATLAB by Ned Gulley

By Ned Gulley

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**Example text**

By saving to the workspace with a new name, you also rename the entire system. Your window will look something like this. Leave the inference options in the lower left in their default positions for now. You’ve entered all the information you need for this particular GUI. Next define the membership functions associated with each of the variables.

Generally this weight is 1 (as it is for this example) and so it has no effect at all on the implication process. From time to 2-39 2 Tutorial time you may want to weight one rule relative to the others by changing its weight value to something other than 1. Once proper weighting has been assigned to each rule, the implication method is implemented. A consequent is a fuzzy set represented by a membership function, which weights appropriately the linguistic characteristics that are attributed to it.

What function will preserve the results of the AND truth table (for example) and also extend to all real numbers between 0 and 1? One answer is the min operation. That is, resolve the statement A AND B, where A and B are limited to the range (0,1), by using the function min(A,B). Using the same reasoning, we can replace the OR operation with the max function, so that A OR B becomes equivalent to max(A,B). Finally, the operation NOT A becomes equivalent to the operation 1 – A . Notice how the truth table above is completely unchanged by this substitution.