4 ms·

This assumes the inputs are uniform distributions, or perhaps normals depending on what exactly fuzzy numbers mean. M-C is not so limited.

• constantcrying 1y ago
  No. It assumes the numbers aren't random at all. Although fuzzy-number can be used to model many different kinds of uncertainties.
  • filiph 1y ago
    I'm familiar with fuzzy numbers (e.g. see my https://filiph.net/fuzzy/ https://filiph.net/fuzzy/ toy) but I didn't know there's arithmetic with fuzzy numbers. How is it done? Do you have a link?
    • constantcrying 1y ago
      There is a book by Hanss on it. It focuses on the sampling approach (he calls it "transformation method") though. If you want to do arithmetic and not a black box approach you just have to realize that you can perform them on the alpha-cuts with ordinary interval arithmetic. Then you can evaluate arbitrary expressions involving fuzzy numbers, keeping the strengths and weaknesses of interval arithmetic. The sampling based approach is very similar to Monte-Carlo, but you sample at certain well defined points.