If I am designing a fuzzy Logic system and one of the input variables is with two levels:
Low: having the range ( 0-2)
High: having the range (3-5)
If I am designing two membership functions to represent the two levels of the variable using a trapezoidal type, are the bellow values correct to form the trapezoidal:
Low: [ 0 0 1 2 ]
High: [ 1 3 5 5 ]
If not, how can I consider the overlap area from the above mentioned ranges?
Thanks,
Designing a fuzzy logic system considers the expertise of who is doing it; in this case, your experience. Thus, you have to see these membership functions as explanation values that should model your input variables. Trial-and-error is also a good method for tuning membership functions; but time-consuming is very large.
If you have data information about your problem, you can use a lot of machine learning algorithms to tune your membership functions. For example, you can use fuzzy c-means, artificial neural networks, genetic algorithms, etc.
is the variable integer all or not it can be decimal this imprtant main
each trapezoidal MF. have 4-triples [a,b,c,d]
where a ;LB, b;Lower mode ;c upper mode and d;UB.
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