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Difference Between Fuzzy Set and Crisp Set
In this post, we will understand the difference between fuzzy set and crisp set −
Fuzzy Set
It is understood using vague properties.
Fuzzy set can have a progressive transition among many degrees of membership.
They are generally used in fuzzy controllers.
The elements have the ability to be partially included in the set.
They are based on infinite-valued logic.
They exhibit gradual membership degrees.
There is an uncertainty about the set boundaries.
Crisp Set
It can be understood using precise and certain characteristics.
Here, the transition is sudden, and well defined, not gradual.
The element can either be a member of a set or not, no partial ability given.
It has a digital design.
It is based on bi-valued logic.
They can have a total membership or non-membership.
It has a precise location for the set boundaries.
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