This has been another issue for debate.
Many purists will refuse to play anything other than acoustic cymbals.
I can't blame them having played acoustic drums for over 20 years myself.
I'ts hard to replicate the nuances of the real thing with rubber and electronics.
I bet that argument is pretty similar to the one they must have had when only acoustic guitars existed and somebody "dared" to mention an "electric" guitar. Many years have passed and now both types of guitars coexist peacefully and in total harmony. (no pun intended). Many years have also passed since the first electronic sets and cymbals were created and today's market is full of excellent choices, that's is not to say that DIY'ers are left out. I will soon post a tutorial on making your own electronic cymbals with different variations and detailed explanations of course.
The pictures below show two different types of electronic cymbals
The Alesis cymbals are brass (real cymbals) covered with a coating that mutes their acoustic sound but retains the look and feel.
The Pintech are rubber (they have different models at different prices)
quieter than the brass cymbals but if you are going for looks then brass is the way to go.
There are many ways to convert an acoustic cymbal into an electronic one, YouTube is full of DIY'er examples on that subject.