What is fuzzy arithmetic?
Fuzzy arithmetic is a generalization of interval analysis that treats uncertainty far more comprehensively. Instead of representing a number with a single interval, it uses a fuzzy number, a family of intervals stacked atop one another which together represent our estimate of the number for each of infinitely many levels of conservativism and optimism about uncertainty. Fuzzy arithmetic is a simple and potentially very useful way to propagate uncertainty through the cascade of calculations that forecasting and risk analysis typically involve because it yields both worst case results and best estimates at the same time. Fuzzy arithmetic is based on a theory with less stringent axioms than probability theory uses so it is applicable in a wider array of circumstances with different kinds of uncertainty. For instance, it is appropriate for handling non-statistical uncertainty including that due to inability to make accurate measurements. The methodology is logically consistent, computation