# Difference Between Crisp Set and Fuzzy Set

• Last Updated : 30 May, 2021

Crisp Set: Countability and finiteness are identical properties which are the collection objects of crisp set. ‘X‘ is a crisp set defined as the group of elements present over the universal set i.e. U. In this case a random element is present that may be a part of X or not that means two ways are possible to define the set. These are first element would become from set X, or it does not come from X

Fuzzy Set: The Integration of the elements having a changing degree of membership in the set is called as fuzzy set. The word “fuzzy” indicates vagueness, On the other hand, we can say that the replacement among various degrees of the membership implies that the vague and ambiguity of the fuzzy set. Hence, the measurement of the membership of the elements from the universe in the set against a function for detecting the uncertainty and ambiguity.

Crisp Set

Fuzzy Set

Conclusion:

The part of distinct set theories are fuzzy set and crisp set, where there are no-finite numbers of logic are implemented in fuzzy set while only two numbers of logic are implemented in crisp set.

My Personal Notes arrow_drop_up