Hi Juan,
Thank you for the quick response. I’m sorry I didn’t respond before, I got caught up in work and school.
I don’t think that the Constant term is what I’m looking for, as the membership value is always a constant value irrespective of the value of x, i.e., μ(x)=c.
What I meant was a term that has a single value with membership value of 1.0, which is useful to deal with crisp values, such as mapping categorical values to numerical values that can be used in a fuzzy inference engine.
For instance, for a hypothetical SingletonTerm Java class with the constructor
public SingletonTerm(String name, double value)
and the method
public double membership(double x) { return x == this.value ? 1.0 : 0.0; }
we could represent categorical data like this:
SingletonTerm no = new SingletonTerm("No", 0.0)
SingletonTerm yes = new SingletonTerm("Yes", 1.0)
SingletonTerm unknown = new SingletonTerm("Unknown", 2.0)
For reference, this kind of term is called singletonShape in the Fuzzy Markup Language, and SingletonFuzzySet in FuzzyJ.
Thank you in advance.