ABSTRACT
Fuzzy sets were introduced by Zadeh (1965) as a mathematical way to represent vagueness in linguistics that can be considered a generalization of classical (crisp) set theory. One of the biggest differences between crisp sets and fuzzy sets is that the former always have unique membership functions (MFs) in the form of a rectangle over the member elements, whereas every fuzzy set has innite MFs that may represent it. In a broad sense, any eld such as hydrology can be fuzzied and hence generalized by replacing a crisp set in the target eld by the concept of fuzzy sets.
