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ABSTRACT
The concept of crisp sets will be discussed. The theory of fuzzy sets as discussed in the first chapter is an extension of the already established set theory. In order to properly address fuzzy numbers and its arithmetic, we must first differentiate fuzzy sets from the already established notion of sets, we refer to the latter as classical/crisp sets Now, mathematically, a crisp set is a well-defined collection of objects such that any object is said to either belong to the set or not. It is defined in such a way to divide the elements of a given universe of discourse into two groups; those that are members of the set and those that are non-members of the set [Klir & Yuan, 1995].
