Whats the difference between fuzzy arithmetic and fuzzy logic?
There are several related ideas that have arisen from Zadehs theory of fuzzy sets. Fuzzy arithmetic is a formalism for making calculations with numerical quantities that are imprecisely known. These quantites are known as fuzzy numbers and are defined as fuzzy sets on the real numbers having a unimodal distribution that reaches unity for some value or values. They include ordinary scalar numbers and intervals as special cases. Fuzzy logic is the generalization of ordinary logic and allows truth values other than absolute truth and utter falsity. Its fair to say that fuzzy logic is comparable to fuzzy arithmetic in the same way that logic is comparable to arithmetic. In other words, they dont have much in common in terms of the kinds of problems theyre used to address. Fuzzy set theory is also used in other areas of science and engineering, including, for instance, fuzzy cluster analysis and fuzzy control theory. In particular, fuzzy arithmetic is a proper subset of possibility theory w
